Andrei Polyanin | Academic Influence

Andrei Polyanin's AcademicInfluence.com Rankings

Andrei Polyanin

Mathematics

#2448

World Rank

#3781

Historical Rank

Applied Mathematics

#200

World Rank

#220

Historical Rank

Measure Theory

#1635

World Rank

#2016

Historical Rank

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Mathematics

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According to Wikipedia, Andrei Dmitrievich Polyanin is a Russian mathematician. He is a creator and Editor-in-Chief of EqWorld. Education Polyanin graduated with honors from the Faculty of Mechanics and Mathematics at Lomonosov Moscow State University in 1974 . He received his Ph.D. in 1981 and D.Sc. in 1986 at the Institute for Problems in Mechanics of the Russian Academy of Sciences.

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Andrei Polyanin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Handbook of Linear Partial Differential Equations for Engineers and Scientists (2001) (898)
Handbook of Nonlinear Partial Differential Equations (2003) (865)
Handbook of Integral Equations (1998) (559)
Handbook of mathematics for engineers and scientists (2006) (398)
Partial differential equation (2008) (281)
Polyanin, A. D. and Zaitsev, V. F., Handbook of Nonlinear Partial Differential Equations , Chapman & Hall/CRC, Boca (2004) (266)
Handbook of Integral Equations: Second Edition (2008) (185)
Handbook of First-Order Partial Differential Equations (2001) (184)
Hydrodynamics, Mass and Heat Transfer in Chemical Engineering (2001) (108)
Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems (2017) (106)
Handbook of Exact Solutions for Ordinary Differential Equations, Second Edition (2002) (93)
Exact solutions of the Navier-Stokes equations with the linear dependence of velocity components on two space variables (2009) (92)
Functional constraints method for constructing exact solutions to delay reaction-diffusion equations and more complex nonlinear equations (2014) (65)
Handbook of Nonlinear Partial Differential Equations, Second Edition (2011) (65)
Handbook of Linear Partial Differential Equations for Engineers and Scientists, Second Edition (2016) (59)
Exact solutions to the Navier-Stokes equations with generalized separation of variables (2001) (48)
New classes of exact solutions to nonlinear sets of equations in the theory of filtration and convective mass transfer (2007) (44)
A Concise Handbook of Mathematics, Physics, and Engineering Sciences (2010) (44)
Exact separable solutions of delay reaction-diffusion equations and other nonlinear partial functional-differential equations (2014) (38)
Nonlinear delay reaction-diffusion equations with varying transfer coefficients: Exact methods and new solutions (2014) (37)
New generalized and functional separable solutions to non-linear delay reaction–diffusion equations (2014) (37)
Exact solutions of linear and non-linear differential-difference heat and diffusion equations with finite relaxation time (2013) (36)
Exact solutions of nonlinear heat- and mass-transfer equations (2000) (36)
Generalized and functional separable solutions to nonlinear delay Klein-Gordon equations (2014) (31)
Theory of free and forced vibrations of a rigid rod based on the Rayleigh model (2007) (30)
The functional constraints method: Application to non-linear delay reaction-diffusion equations with varying transfer coefficients (2014) (29)
Exact solutions of non-linear differential-difference equations of a viscous fluid with finite relaxation time (2013) (27)
Functional separable solutions of nonlinear reaction-diffusion equations with variable coefficients (2019) (26)
Exact solutions of unsteady three-dimensional Navier-Stokes equations (2009) (26)
Construction of exact solutions in implicit form for PDEs: New functional separable solutions of non-linear reaction–diffusion equations with variable coefficients (2019) (25)
Macrokinetics of surface reactions in a liquid or gas flow and an approximate method of calculating the mass-transfer rate of the reacting particles (1981) (24)
A method for constructing exact solutions of nonlinear delay PDEs (2021) (23)
Non-linear instability and exact solutions to some delay reaction–diffusion systems (2014) (22)
Nonlinear delay reaction-diffusion equations: Traveling-wave solutions in elementary functions (2015) (21)
A new method for constructing exact solutions to three-dimensional Navier-Stokes and Euler equations (2011) (20)
Separation of variables in PDEs using nonlinear transformations: Applications to reaction-diffusion type equations (2020) (20)
Functional separable solutions of nonlinear convection-diffusion equations with variable coefficients (2019) (19)
Exact Solutions and Transformations of the Equations of a Stationary Laminar Boundary Layer (2001) (18)
The generating equations method: Constructing exact solutions to delay reaction–diffusion systems and other non-linear coupled delay PDEs (2015) (18)
New classes of exact solutions and some transformations of the Navier-Stokes equations (2009) (18)
Equations of an Unsteady-State Laminar Boundary Layer: General Transformations and Exact Solutions (2001) (17)
Differential-difference heat-conduction and diffusion models and equations with a finite relaxation time (2013) (16)
Generalized traveling-wave solutions of nonlinear reaction-diffusion equations with delay and variable coefficients (2019) (16)
Integration of linear and some model non-linear equations of motion of incompressible fluids (2013) (16)
Exact solutions of nonlinear sets of equations of the theory of heat and mass transfer in reactive media and mathematical biology (2004) (15)
Unsteady axisymmetric boundary-layer equations: Transformations, properties, exact solutions, order reduction and solution method (2015) (15)
On order reduction of non-linear equations of mechanics and mathematical physics, new integrable equations and exact solutions (2012) (14)
Decomposition of three-dimensional linearized equations for Maxwell and Oldroyd viscoelastic fluids and their generalizations (2013) (14)
Generalized Separation of Variables in Nonlinear Heat and Mass Transfer Equations (2001) (14)
Construction of functional separable solutions in implicit form for non-linear Klein–Gordon type equations with variable coefficients (2019) (14)
Symmetry reductions and new functional separable solutions of nonlinear Klein–Gordon and telegraph type equations (2020) (13)
Method for solution of some non-linear boundary value problems of a non-stationary diffusion-controlled (thermal) boundary layer (1982) (13)
New exact solutions of nonlinear wave type PDEs with delay (2020) (13)
Nonlinear Systems of Partial Differential Equations (2011) (13)
Functional Separation of Variables in Nonlinear PDEs: General Approach, New Solutions of Diffusion-Type Equations (2020) (13)
Comparison of the Effectiveness of Different Methods for Constructing Exact Solutions to Nonlinear PDEs. Generalizations and New Solutions (2019) (13)
Decomposition methods for coupled 3D equations of applied mathematics and continuum mechanics: Partial survey, classification, new results, and generalizations (2016) (13)
Transformations and exact solutions containing arbitrary functions for boundary-layer equations (2001) (12)
New classes of exact solutions of Euler equations (2008) (12)
On RF-pairs, Bäcklund transformations and linearization of nonlinear equations (2012) (12)
Longitudinal vibrations of a Rayleigh-Bishop rod (2010) (12)
Direct functional separation of variables and new exact solutions to axisymmetric unsteady boundary-layer equations (2016) (12)
Exact solutions and qualitative features of nonlinear hyperbolic reaction—diffusion equations with delay (2015) (12)
The method of the ‘carry over’ of integral transforms in non-linear mass and heat transfer problems (1990) (11)
Functional and generalized separable solutions to unsteady Navier–Stokes equations (2016) (11)
Reaction-Diffusion Models with Delay: Some Properties, Equations, Problems, and Solutions (2018) (11)
Analysis for an N-stepped Rayleigh bar with sections of complex geometry (2008) (10)
An asymptotic analysis of some nonlinear boundary-value problems of convective mass and heat transfer of reacting particles with the flow (1984) (10)
Parametrically defined nonlinear differential equations and their solutions: Applications in fluid dynamics (2016) (10)
Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy (2021) (10)
The use of differential and non-local transformations for numerical integration of non-linear blow-up problems (2017) (10)
Mass transfer of particles located on the flow axis at large peclet number (1977) (10)
New methods of the mass and heat transfer theory — II. The methods of asymptotic interpolation and extrapolation (1985) (10)
Construction of exact solutions to nonlinear PDEs with delay using solutions of simpler PDEs without delay (2021) (9)
The method of asymptotic analogies in the mass and heat transfer theory and chemical engineering science (1990) (8)
Exact solutions to nonlinear systems of diffusion equations for reactive media and mathematical biology (2005) (8)
Upscaling of the Waterflood Reservoir Properties on the Core Level: Laboratory Study, Macro and Micro Modelling (1995) (8)
Exact Solutions > Ordinary Differential Equations > Second-Order Nonlinear Ordinary Differential Equations > Second-Order Autonomous Differential Equation (2004) (8)
Parametrically defined nonlinear differential equations, differential-algebraic equations, and implicit ODEs: Transformations, general solutions, and integration methods (2017) (7)
Methods of Generalized and Functional Separation of Variables in Hydrodynamic and Heat- and Mass-Transfer Equations (2002) (7)
Systems of hydrodynamic type equations: Exact solutions, transformations, and nonlinear stability (2009) (7)
Diffusion to a chain of drops (bubbles) at large péclet numbers (1978) (7)
New methods of the mass and heat transfer theory—I. The method of asymptotic correction and the method of model equations and analogies (1985) (7)
Nonlinear problems with blow-up solutions: Numerical integration based on differential and nonlocal transformations, and differential constraints (2018) (6)
Convective diffusion to a reacting particle in a fluid. Nonlinear surface reaction kinetics (1980) (6)
Exact solutions of nonlinear sets of equations of the theory of heat and mass transfer in reactive media and mathematical biology (2004) (6)
Exact solutions of the boundary layer equations for power-law fluids (1989) (6)
On nonisothermal chemical reaction at the particle surface in a laminar flow (1982) (6)
Methods for Constructing Complex Solutions of Nonlinear PDEs Using Simpler Solutions (2021) (6)
Exact solutions to some classes of nonlinear integral, integro-functional, and integro-differential equations (2008) (6)
One-dimensional reductions and functional separable solutions to unsteady plane and axisymmetric boundary-layer equations for non-Newtonian fluids (2016) (6)
Transformations, properties, and exact solutions of nonstationary axisymmetric boundary-layer equations (2015) (5)
Mass transfer problem for particles, drops and bubbles in a shear flow (1990) (5)
New methods for processing experimental data: Applicability tests for empirical formulas (2008) (5)
Physical Foundations of Mechanics (2010) (5)
This equation is encountered in combustion theory. For its exact solutions, see the "Handbook of Nonlinear Partial Differential Equations" by A. D. Polyanin & V. F. Zaitsev (2004). (2004) (5)
New classes of exact solutions to general nonlinear diffusion-kinetic equations (2006) (5)
Three-dimensional diffusive boundary-layer problems (1984) (5)
Nonlinear Partial Differential Equations (2006) (5)
Exact solutions to new classes of reaction-diffusion equations containing delay and arbitrary functions (2015) (5)
On the nonlinear instability of the solutions of hydrodynamic-type systems (2009) (5)
Decomposition and exact solutions of equations of a weakly compressible barotropic fluid (2013) (5)
Exact solutions to differential-difference heat and mass transfer equations with a finite relaxation time (2014) (4)
Linear Heat- and Mass-Transfer Problems: General Formulas and Results (2000) (4)
Exact solutions to homogeneous and quasi-homogeneous systems of nonlinear ODEs (2021) (4)
Various representations of the solutions of systems of equations of continuum mechanics (2014) (4)
The generalized and functional separation of variables in mathematical physics and mechanics (2002) (4)
Non-monotonic blow-up problems: Test problems with solutions in elementary functions, numerical integration based on non-local transformations (2018) (4)
Separation of Variables and Exact Solutions to Nonlinear PDEs (2021) (4)
Unsteady-state extraction from a falling droplet with nonlinear dependence of distribution coefficient on concentration (1984) (4)
Reductions and exact solutions of Lotka-Volterra and more complex reaction-diffusion systems with delays (2021) (4)
Method of Asymptotic Interpolation in Problems of Chemical Hydrodynamics and Mass Transfer (2001) (4)
Exact generalized separable solutions to nonlinear delay reaction-diffusion equations (2015) (4)
Non-linear problems with non-monotonic blow-up solutions: Non-local transformations, test problems, exact solutions, and numerical integration (2017) (4)
Functional Separable Solutions of Two Classes of Nonlinear Mathematical Physics Equations (2019) (3)
Structure of the diffusional wake of an absorbing particle near the critical lines (1977) (3)
Distribution of the concentration in a diffusion wake with stokes flow around a particle (1977) (3)
Mass and heat transfer to particles in a flow (1995) (3)
Convective diffusion to a solid particle in the case of nonlinear kinetics of heterogeneous chemical reaction (1980) (3)
New approximate analytic methods of investigating problems of physicochemical mechanics (1984) (3)
Non-linear blow-up problems for systems of ODEs and PDEs: Non-local transformations, numerical and exact solutions (2019) (3)
New classes of exact solutions to nonlinear systems of reaction-diffusion equations (2006) (3)
Mass transfer from a particle in a shear flow with surface reactions (1993) (3)
Applicability tests for empirical formulas: Analysis of turbulent flows and general comments (2009) (3)
Mass and Heat Transfer (2010) (3)
Decomposition and exact solutions of three-dimensional nonstationary linearized equations for a viscous fluid (2013) (3)
The change of the diffusivity with the change of the concentration of the solvent in a solution (1989) (3)
The method of non-local transformations: Applications to blow-up problems (2017) (3)
Exact Solutions > Linear Partial Differential Equations > Second-Order Hyperbolic Partial Differential Equations > Telegraph Equation (2004) (3)
Exact solutions and transformations of nonlinear heat and wave equations (2001) (3)
Ordinary Differential Equations (2006) (3)
Non-isothermal flows of liquid metals and melts: Qualitative features, asymptotic models, problems, exact and approximate solutions (2016) (2)
Systems of Two First-Order Partial Differential Equations (2011) (2)
RAYLEIGH-LOVE MODEL OF LONGITUDINAL VIBRATIONS OF CONICAL AND EXPONENTIAL RODS: EXACT SOLUTIONS AND NUMERICAL SIMULATION BY THE METHOD OF LINES (2011) (2)
Mass and heat transfer between a drop or bubble and a flow (1995) (2)
Exact solutions to nonlinear equations of mechanics and mathematical physics (1998) (2)
Exact solutions of unsteady boundary layer equations for power-law non-Newtonian fluids (2015) (2)
New classes of exact solutions of Euler equations (2008) (2)
Diffusion toward a cylinder in the case of an arbitrary viscous flow. Diffusive boundary layer approximation (1976) (2)
Exact Solutions of Navier–Stokes, Boundary-Layer, and Heat-Conduction Equations (2002) (2)
Von mises- and crocco-type transformations: Order reduction of nonlinear equations, RF-pairs, and Bäcklund transformations (2010) (2)
FourthOrder Equations (2003) (2)
Certain nonisothermal flows of fluid (1990) (2)
Nonlinear partial differential equations with delay: linear stability/instability of solutions, numerical integration (2019) (2)
Reductions and Exact Solutions of Nonlinear Wave-Type PDEs with Proportional and More Complex Delays (2023) (2)
First-Order Quasilinear Equations (2011) (2)
Asymptotic of solution of problem of convective diffusion to a drop with large péclet numbers and finite reynolds numbers (1978) (2)
Painlevé Test for Nonlinear Equations of Mathematical Physics (2011) (2)
Two problems of convective diffusion to the surfaces of poorly streamlined bodies (1978) (2)
Nonlinear instability of the solutions of the Navier-Stokes equations: Formulas for constructing exact solutions (2009) (2)
Third-Order Equations (2016) (2)
The heat and mass transfer modeling with time delay (2017) (2)
Integration of hydrodynamic-type linear systems (2012) (2)
Chemical reaction with heat liberation on the surface of a thermally conductive particle moving in a gas (1982) (2)
Partial Differential Equations (2010) (2)
Transformations and exact solutions of unsteady-state axisymmetric boundary layer equations (2015) (2)
Higher-Order Partial Differential Equations (2016) (2)
Multi-Parameter Reaction–Diffusion Systems with Quadratic Nonlinearity and Delays: New Exact Solutions in Elementary Functions (2022) (1)
Methods of Generalized and Functional Separation of Variables in Nonlinear Equations of Mathematical Physics (2001) (1)
Nonlinear Equations With Three or More Independent Variables (2001) (1)
COMPLICATED MASS AND HEAT TRANSFER BETWEEN PARTICLES, DROPS, AND BUBBLES AND A FLOW (1996) (1)
Development of taylor instability in compressible conducting media in a magnetic field (1975) (1)
Dimensions and Similarity (2010) (1)
Methods for First-Order Linear PDEs (2016) (1)
Heat and mass transfer to a reacting particle in a gas flow for arbitrary temperature dependence of the transport coefficients (1984) (1)
Nonstationary convective heat and mass transfer of droplets for commensurare phase resistances (1984) (1)
Transformations, properties, and exact solutions of unsteady axisymmetric boundary layer equations for non-Newtonian fluids (2017) (1)
Linear Partial Differential Equations (2006) (1)
Parametrically defined differential equations (2017) (1)
Elliptic Equations with Three or More Space Variables (2001) (1)
Exact Solutions > Ordinary Differential Equations > Second-Order Linear Ordinary Differential Equations > (2004) (1)
Diffusional interaction of drops in a liquid (1978) (1)
Second-order constant coefficient linear differential equation. In physics this equation is called an equation of damped vibrations. (2004) (1)
Various decomposition techniques for linear equations of continuum mechanics (2014) (1)
Mass transfer interaction of moving particles in a reactive dispersive system (1978) (1)
Exact Solutions > Functional Equations > Linear Difference and Functional Equations with One Independent Variable > mth-Order Constant-Coefficient Linear Nonhomogeneous Difference Equation (2004) (1)
In the equation and its solutions, singular integrals are understood in the sense of the Cauchy principal value. Without loss of generality we may assume that A 2 + B 2 = 1. (2004) (1)
Supplement: Solution of Differential Equations Through the CONVODE Software (2001) (1)
Application of non-local transformations for numerical integration of singularly perturbed boundary-value problems with a small parameter (2018) (1)
Methods for Solving Singular Integral Equations of the First Kind (2008) (1)
Second-Order Parabolic Equations with One Space Variable (2016) (1)
Review of methods for constructing exact solutions of equations of mathematical physics based on simpler solutions (2022) (1)
Exact Solutions to Nonlinear Equations and Systems of Equations of General Form in Mathematical Physics (2008) (1)
Some qualitative features of (internal) problems of convective heat and mass transfer in regions with closed streamlines (1983) (1)
Exact Solutions > Nonlinear Partial Differential Equations > Other Second-Order Partial Differential Equations > Homogeneous Monge-Ampere Equation (Monge-Amp` ere Equation) (2004) (1)
Convective diffusion to a drop under arbitrary conditions of absorption. Diffusion boundary layer approximation (1980) (1)
Molecular Physics and Thermodynamics (2010) (1)
Tables of Indefinite Integrals (2008) (1)
Systems of Partial Differential Equations (2006) (1)
Laws of coloring of photochromic solutions used in experimental hydrodynamics (1987) (1)
Tables of Definite Integrals (2008) (1)
Exact Solutions > Nonlinear Partial Differential Equations > Second-Order Parabolic Partial Differential Equations > Nonlinear Heat Equation of General Form (2004) (0)
The similarity index of scientific publications with equations and formulas, identification of self-plagiarism, and testing of the iThenticate system (2021) (0)
Nonlinear Equations of the Second Kind with Variable Limit of Integration (2008) (0)
The integral equation and its solution form a Hilbert transform pair (in the asymmetric form). Singular integrals are understood in the sense of the Cauchy principal value. References (2004) (0)
First-Order Nonlinear Equations with Three or More Independent Variables (2011) (0)
Curvilinear Coordinates, Vectors, Operators, and Differential Relations (2016) (0)
Nonlinear Equations With Two Independent Variables of General Form (2001) (0)
Chapter 4: Methods for Linear ODEs of Arbitrary Order (2017) (0)
Exact Solutions > Functional Equations > Nonlinear Functional Equations with Several Independent Variables > Equation of the Theory Probability (2004) (0)
Chapter 16: Fourth-Order Ordinary Differential Equations (2017) (0)
Cauchy Problem. Fundamental Solutions (2016) (0)
Nonlinear Mathematical Physics Equations (2006) (0)
Linear Equations of the Form f(x, y, z)∂w/∂x + g(x, y, z)∂w/∂y + h(x, y, z)∂w/∂z = 0 (2001) (0)
Elements of Strength of Materials (2010) (0)
New numerical methods for blow-up problems (2017) (0)
Chapter 17: Higher-Order Ordinary Differential Equations (2017) (0)
Exact Solutions > Nonlinear Partial Differential Equations > Second-Order Parabolic Partial Differential Equations > Schrodinger Equation with a Power-Law Nonlinearity (2004) (0)
Nonlinear Equations With Variable Limit of Integration (1998) (0)
Limits and Derivatives (2006) (0)
Elementary Functions and Their Properties (2016) (0)
Von mises- and crocco-type hydrodynamical transformations: Order reduction of nonlinear equations, construction of Bäcklund transformations and of new integrable equations (2011) (0)
First-Order Equations with Three or More Independent Variables (2016) (0)
Exact Solutions > Integral Equations > Linear Fredholm Integral Equations of the Second Kind and Related Integral Equations with Constant Limits of Integration > Tricomi's Equation (Tricomi's Integral Equation) (2004) (0)
Chapter 3: Methods for Second-Order Nonlinear Differential Equations (2017) (0)
Systems of General Form (2011) (0)
Linear Equations and Problems of Mathematical Physics (2006) (0)
Convective mass transfer in a periodic array of spheres (1979) (0)
Chapter 12: Discrete-Group Methods (2017) (0)
Exact Solutions > Nonlinear Partial Differential Equations > Third-Order Partial Differential Equations > Generalized Korteweg-de Vries Equation (2004) (0)
Integration of hydrodynamic-type linear systems (2012) (0)
Foams: Structure and Some Properties (2001) (0)
Methods for Solving First-Order Quasilinear Equations (2016) (0)
Exact Solutions of Two- and Three-Dimensional Nonlinear Heat- and Mass-Transfer Equations (2003) (0)
Mechanics of Point Particles and Rigid Bodies (2010) (0)
Chapter 7: Methods for nonlinear systems of ODES (2017) (0)
Linear Equations of the Form f(x, y)∂w/∂x + g(x, y)∂w/∂y = h(x, y) (2001) (0)
Hyperbolic Equations with One Space Variable (2001) (0)
An algebraic method for heat and mass transfer problems (1990) (0)
Exact Solutions > Integral Equations > Linear Volterra Integral Equations of the First Kind and Related Integral Equations with Variable Limit of Integration > Generalized Abel Integral Equation of the Second Kind (2004) (0)
Boundary Value Problems. Green’s Function (2016) (0)
Fluid Flows in Films, Jets, Tubes, and Boundary Layers (2001) (0)
SecondOrder Equations of General Form (2003) (0)
Special Functions and Their Properties (2006) (0)
Exact Solutions > Integral Equations > Linear Fredholm Integral Equations of the First Kind and Related Integral Equations with Constant Limits of Integration > Wiener-Hopf Equation of the First Kind (2004) (0)
Duhamel’s Principles. Some Transformations (2016) (0)
Chapter 1: Methods for first-order differential equations (2017) (0)
“Averaging” method in problems of convective mass and heat transfer (1984) (0)
DECOMPOSITION OF SYSTEMS OF EQUATIONS FOR CONTINUUM MECHANICS 1. ELASTICITY, THERMOELASTICITY, POROELASTICITY (2015) (0)
Supplements: Elementary Functions and Their Properties (1998) (0)
Experimental data processing by means of ‘asymptotic coordinates’ (1989) (0)
Three-dimensional problems of unsteady diffusion boundary layer (1990) (0)
A new method for constructing exact solutions to nonlinear delay partial differential equations (2013) (0)
Second-Order Equations of General (2011) (0)
Motion of Particles, Drops, and Bubbles in Fluid (2001) (0)
Exact solutions of unsteady boundary layer equations for power-law non-Newtonian fluids (2015) (0)
Various decomposition techniques for linear equations of continuum mechanics (2014) (0)
Ju l 2 01 7 Numerical integration of blow-up problems on the basis of non-local transformations and differential constraints ∗ (2018) (0)
Construction of complex solutions to nonlinear partial differential equations using simpler solutions (2021) (0)
Systems of Ordinary Differential Equations (2006) (0)
Chapter 9: Elementary theory of using invariants for solving equations (2017) (0)
First-Order Hydrodynamic and Other Systems Involving Three or More Equations (2011) (0)
Exact Solutions > Ordinary Differential Equations > First-Order Ordinary Differential Equations > First-Order Homogeneous Differential Equation (2004) (0)
Nonclassical Method of Symmetry Reductions (2011) (0)
Exact Solutions and Reductions of Nonlinear Diffusion PDEs of Pantograph Type (2021) (0)
Hypersingular nonlinear boundary-value problems with a small parameter (2018) (0)
Nonlinear Equations With Constant Limits of Integration (1998) (0)
The Similarity Index of Scientific Publications with Mathematical Equations and Formulas (2022) (0)
Combined heat and mass transfer for a particle in a gas flow with variable definitive parameters (1984) (0)
Tables of Inverse Laplace Transforms (2008) (0)
Exact Solutions > Functional Equations > Linear Difference and Functional Equations with One Independent Variable > Second-Order Linear Homogeneous Difference Equation (2004) (0)
Convective diffusion to a solid particle in a gas stream with nonlinear kinetics of a heterogeneous chemical reaction (1977) (0)
Inverse Laplace Transforms: Expressions with Error Functions (2005) (0)
Some Notions of Functional Analysis (2008) (0)
First-Order Nonlinear Equations with Two Independent Variables of General Form (2016) (0)
Linear Partial Differential Equations with Mathematica (2016) (0)
Second-Order Parabolic Equations with Two or More Space Variables (2016) (0)
Linear Partial Differential Equations with Maple (2016) (0)
Exact Solutions > Nonlinear Partial Differential Equations > Second-Order Parabolic Partial Differential Equations > FitzHugh-Nagumo Equation (2004) (0)
Transformations of Equations of Mathematical Physics (2016) (0)
S I ] 1 9 A pr 2 01 3 A new method for constructing exact solutions to nonlinear delay partial differential equations (2013) (0)
Exact Solutions > Ordinary Differential Equations > Higher-Order Nonlinear Ordinary Differential Equations > Emden-Fowler Equation of the Third-Order (2004) (0)
Exact Solutions > Algebraic Equations and Systems of Algebraic Equations > Systems of Algebraic Equations > System of Linear Algebraic Equations (2004) (0)
Nonlinear Equations of the Second Kind with Constant Limits of Integration (2008) (0)
Methods for Solving Multidimensional Mixed Integral Equations (2008) (0)
Exact Solutions > Functional Equations > Nonlinear Functional Equations with Several Independent Variables > Bilinear Functional Equation - 2 (2004) (0)
Second-Order Equations Involving Mixed Derivatives and Some Other Equations (2011) (0)
New classes of exact solutions to general nonlinear heat (diffusion) equations (2005) (0)
Intensification of mass transfer in a current-carrying fluid at high Péclet numbers (1979) (0)
Second-Order Linear PDEs: Classification, Problems, and Particular Solutions (2016) (0)
Here, '(u) is an arbitrary function; in the integration, u is considered a parameter. Reference (2004) (0)
Exact Solutions > Functional Equations > Linear Functional Equations with Several Independent Variables > Basic Equation of Information Theory (2004) (0)
New classes of exact solutions to general nonlinear equations and systems of equations in mathematical physics (2008) (0)
Calculus of Variations and Optimization (2006) (0)
Quasilinear Equations of the Form f(x, y, w)∂w/∂x + g(x, y, w)∂w/∂y = h(x, y, w) (2001) (0)
Chapter 14: Secondorder ordinary differential equations (2017) (0)
Method of Functional Separation of Variables (2011) (0)
Hydrodynamics and Mass and Heat Transfer in Non-Newtonian Fluids (2001) (0)
Mass and Heat Transfer Under Complicating Factors (2001) (0)
Elements of Applied and Engineering Sciences (2010) (0)
Exact Solutions > Ordinary Differential Equations > First-Order Ordinary Differential Equations > Riccati Equation, Special Case 4 (2004) (0)
Second-Order Hyperbolic Equations with One Space Variable (2016) (0)
OF ABSORPTION. DIFFUSION BOUNDARY LAYER APPROXIMATION (1980) (0)
The Similarity Index of Scientific Publications with Mathematical Equations and Formulas (2022) (0)
Elements of Nuclear Physics (2010) (0)
Indefinite and Definite Integrals (2016) (0)
If n = -1 and b = 0, we have the Euler equation 2.12. If n ≠ -1 and b ≠ 0, the solution is expressed in terms of Bessel functions: (2004) (0)
Chapter 6: Methods for linear systems of ODEs (2017) (0)
Linear Partial Differential Equations with MATLAB (2016) (0)
Numerical integration blow-up problems on the basis of non-local transformations and differential constraints (2017) (0)
Second-Order Parabolic Equations with Two Space Variables (2016) (0)
Asymptotic solutions of the problem of heat and mass transfer of particles in a fluid (1979) (0)
Exact Solutions > Integral Equations > Linear Fredholm Integral Equations of the First Kind and Related Integral Equations with Constant Limits of Integration > Schlomilch Equation (Schl¨ (2004) (0)
Traveling-Wave Solutions and Self-Similar Solutions (2011) (0)
Direct Method of Symmetry Reductions. Weak Symmetries (2021) (0)
Mass transfer between particles and a flow in the presence of a volume chemical reaction (1987) (0)
Exact Solutions > Integral Equations > Linear Volterra Integral Equations of the First Kind and Related Integral Equations with Variable Limit of Integration > Abel Equation (Abel Integral Equation) (2004) (0)
Supplement: Some Useful Electronic Mathematical Resources (2006) (0)
Equations With Two Independent Variables Quadratic in Derivatives (2001) (0)
Exact Solutions > Ordinary Differential Equations > Higher-Order Linear Ordinary Differential Equations > Constant Coefficient Linear Differential Equation (2004) (0)
Quasilinear Equations of the Form f(x, y)∂w/∂x + g(x, y)∂w/∂y = h(x, y, w) (2001) (0)
Chapter 10: Methods for the Construction of Particular Solutions (2017) (0)
Systems of Ordinary Differential Equations > Linear Systems of Three and More Equations (2004) (0)
Navier–Stokes and Related Equations (2016) (0)
Linear Equations With Two Independent Variables (2001) (0)
Finite Sums and Infinite Series (2006) (0)
Difference Equations and Other Functional Equations (2006) (0)
Mass and Heat Transfer in Liquid Films, Tubes, and Boundary Layers (2001) (0)
Various representations of the solutions of systems of equations of continuum mechanics (2014) (0)
Exact Solutions > Linear Partial Differential Equations > Second-Order Parabolic Partial Differential Equations > Convective Heat Equation with a Source (2004) (0)
Integral transform “infixing” method for nonlinear transient mass-transfer problems (1988) (0)
On One Method for Constructing Exact Solutions of Nonlinear Equations of Mathematical Physics (2019) (0)
Quantum Mechanics. Atomic Physics (2010) (0)
Main Definitions and Formulas. Integral Transforms (2008) (0)
Functions of Complex Variable (2006) (0)
Shear flow over a porous particle (1995) (0)
Equations of hydrodynamic type: exact solutions, reduction of order, transformations, and nonlinear stability/unstability (2009) (0)
Overdetermined Systems of ODEs with Parameters and Their Applications: The Method of Differential Constraints and the Generalized Separation of Variables in PDEs (2018) (0)
Tables of Fourier Cosine Transforms (2008) (0)
Second-Order Hyperbolic Equations with Three or More Space Variables (2016) (0)
Hyperbolic Equations with Two or Three Space Variables (2003) (0)
Exact Solutions of Nonlinear Partial Differential Equations (2011) (0)
Qualitative analysis of the mass transfer of an ordered system of solid reacting particles at high Peclét numbers (1979) (0)
Partial separation of variables in unsteady problems of mechanics and mathematical physics (2000) (0)
Systems of Linear Coupled PDEs. Decomposition Methods (2016) (0)
A separable equation. This equation is encountered in differential geometry in studying geodesic lines of Liouville surfaces. Complete integral in implicit form (2004) (0)
The Crocco transformation: order reduction and construction of Backlund transformations and new integrable equations (2009) (0)
Application of Integral Equations for the Investigation of Differential Equations (2008) (0)
Chapter 15: Third-Order Ordinary Differential Equations (2017) (0)
Arithmetic and Elementary Algebra (2006) (0)
Electornic Publications and Scientific-Educational Resources of the Internet (2008) (0)
The direct method of functional separation of variables can provide more exact solutions than the compatibility analysis of PDEs based on a single differential constraint (2019) (0)
Elliptic Equations with Two Space Variables (2001) (0)
Systems of Two Second-Order Klein–Gordon Type Hyperbolic Equations (2016) (0)
Chapter 13: First-Order Ordinary Differential Equations (2017) (0)
Methods of the Inverse Scattering Problem (Soliton Theory) (2011) (0)
The method of nonlocal transformations: Applications to singularly perturbed boundary-value problems (2019) (0)
Separation of Variables and Integral Transform Methods (2016) (0)
First-Order Partial Differential Equations (2006) (0)
Elementary Theory of Using Invariants for Solving Equations (2011) (0)
The von Mises transformation: order reduction and construction of Backlund transformations and new integrable equations (2009) (0)
Direct Method of Symmetry Reductions of Nonlinear Equations (2016) (0)
Methods for Solving Complete Singular Integral Equations (2008) (0)
Some general invariance relations in problems of convective heat and mass transfer at large péclet numbers (1981) (0)
Linear Equations of the Form f1 ∂w/∂x + f2 ∂w/∂y + f3 ∂w/∂z = f4w, f5, fn = fn(x, y, z) (2001) (0)
Method of Generalized Separation of Variables (2016) (0)
Tables of Mellin Transforms (2008) (0)
Mass and Heat Exchange Between Flow and Particles, Drops, or Bubbles (2001) (0)
Systems of Two Elliptic Equations (2011) (0)
Exact Solutions > Ordinary Differential Equations > Higher-Order Nonlinear Ordinary Differential Equations > Equation Does not Depend on y Explicitly (2004) (0)
Orthogonal Curvilinear Systems of Coordinate (2006) (0)
Unsteady mass transfer to a droplet (bubble) in a three-dimensional shear flow (1986) (0)
Exact Solutions > Integral Equations > Linear Fredholm Integral Equations of the Second Kind and Related Integral Equations with Constant Limits of Integration > Wiener-Hopf Equation of the Second Kind (2004) (0)
An approximate method is proposed for the solution of nonlinear boundary problems of convective heat and mass transfer; the method is based on the procedure of "averaging" equations or boundary conditions. (1985) (0)
Chapter 20: Symbolic and Numerical Solutions of ODES with Mathematica (2017) (0)
Chapter 2: Methods for Second‐Order Linear Differential Equations (2017) (0)
First-Order Equations with Two Independent Variables (2016) (0)
Convective mass and heat exchange of a reacting particle at low Peclet numbers (1982) (0)
Nonclassical (noninvariant) traveling-wave solutions and self-similar solutions (2004) (0)
Linear Equations of the Form f(x, y)∂w/∂x + g(x, y)∂w/∂y = h(x, y)w (2001) (0)
Chapter 21: Symbolic and Numerical Solutions of ODEs with MATLAB (2017) (0)
The similarity index of mathematical and other scientific publications with equations and formulas and the problem of self-plagiarism identification (2021) (0)
Classification of Second-Order Nonlinear Equations (2011) (0)
Oscillations and Waves (2010) (0)
Tables of Laplace Transforms (2008) (0)
Exact Solutions > Ordinary Differential Equations > Higher-Order Nonlinear Ordinary Differential Equations > Generalized Homogeneous Equation (2004) (0)
Linear Equations of the Form f(x, y)∂w/∂x + g(x, y)∂w/∂y = h1(x, y)w + h0(x, y) (2001) (0)
Equations Containing One Derivative (2001) (0)
Exact Solutions > Functional Equations > Nonlinear Functional Equations with Several Independent Variables > Power-Law Cauchy Equation (2004) (0)
Some Useful Electronic Mathematical Resources (2010) (0)
Non-linear problems of heat and mass transfer with variable coefficients of diffusion and heat conductivity (1990) (0)
Methods for Solving Nonlinear Integral Equations (2008) (0)
Systems of Linear Partial Differential Equations (2016) (0)
Decomposition and exact solutions of equations of a weakly compressible barotropic fluid (2013) (0)
Second-Order Elliptic Equations with Two Space Variables (2016) (0)
Some Asymptotic Results and Formulas (2016) (0)
Chapter 8: Elements of Bifurcation Theory (2017) (0)
Transformations and exact solutions of unsteady-state axisymmetric boundary layer equations (2015) (0)
Mass transfer in a pulsating bubble (1988) (0)
Exact Solutions > Ordinary Differential Equations > Second-Order Nonlinear Ordinary Differential Equations > Second-Order Generalized Homogeneous Equation (2004) (0)
Quantum Theory of Crystals (2010) (0)
Chapter 11: Group Methods for ODES (2017) (0)
Convective heat and mass transfer in a moving ordered system of drops (bubbles) for high Peclet numbers (1979) (0)
Methods for Solving Linear Equations of the Form y ( x ) − ∫ a b K ( x , t ) y ( t ) d t = f ( x ) (2008) (0)
Systems of Two Parabolic Equations (2011) (0)
Foams as specific gas-liquid technological media (2000) (0)
Nonlinear reaction-diffusion equations with delay: some theorems, test problems, exact and numerical solutions (2017) (0)
Dissolving of a chain of drops (bubbles) in a fluid stream (1980) (0)
Symbolic and Numerical Solutions with Maple, Mathematica, and MATLAB® (2016) (0)
Method of Differential Constraints (2011) (0)
Exact Methods for Nonlinear Partial Differential Equations (2011) (0)
Equations of Higher Orders (2003) (0)
Second-Order Elliptic Equations with Three or More Space Variables (2016) (0)
Parabolic Equations with One Space Variable (2001) (0)
Hyperbolic Equations with Two Space Variables (2001) (0)
Tables of Inverse Mellin Transforms (2008) (0)
Elements of Theory of Generalized Functions (2016) (0)
Structure of solutions to linear unsteady boundary value problems in mechanics and mathematical physics (2000) (0)
Nonstationary convective heat and mass transfer in a fluid at high peclet numbers (1981) (0)
Exact Solutions > Functional Equations > Linear Functional Equations with Several Independent Variables > Homogeneity Equation (2004) (0)
Approximate integration op nonstationary equations of a diffusion or thermal boundary layer (1982) (0)
First-Order Equations with Two Independent Variables Quadratic in Derivatives (2011) (0)
Chapter 18: Some Systems of Ordinary Differential Equations (2017) (0)
Empirical and Engineering Formulas and Criteria for Their Applicability (2010) (0)
Exact Solutions > Nonlinear Partial Differential Equations > Second-Order Hyperbolic Partial Differential Equations > Nonlinear Klein-Gordon Equation (2004) (0)
Hyperbolic Equations with Three or More Space Variables (2001) (0)
Exact Solutions > Nonlinear Partial Differential Equations > Second-Order Hyperbolic Partial Differential Equations > Klein-Gordon Equation with a Exponential Nonlinearity (2004) (0)
Exact Solutions > Ordinary Differential Equations > First-Order Ordinary Differential Equations > Abel Differential Equation of the Second Kind (Special Case) (2004) (0)
Equations Involving Mixed Derivatives and Some Other Equations (2003) (0)

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