Boris A. Kupershmidt

Boris A. Kupershmidt's AcademicInfluence.com Rankings

Mathematics

#6921

World Rank

#9500

Historical Rank

Measure Theory

#1724

World Rank

#2118

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Boris A. Kupershmidt Influential?

(Suggest an Edit or Addition)

(See a Problem?)

Boris A. Kupershmidt'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

Mathematics of dispersive water waves (1985) (416)
A super Korteweg-de Vries equation: An integrable system (1984) (340)
Modifying Lax equations and the second Hamiltonian structure (1980) (271)
Discrete lax equations and differential-difference calculus (1985) (260)
Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity (1983) (172)
What a Classical r-Matrix Really Is (1999) (159)
Geometry of jet bundles and the structure of lagrangian and hamiltonian formalisms (1980) (122)
KP or mKP (2000) (114)
KdV6: An integrable system (2007) (102)
Equations of long waves with a free surface. II. Hamiltonian structure and higher equations (1978) (95)
Reflection Symmetries of q-Bernoulli Polynomials (2005) (86)
Long-wave equation with free boundaries. I. Conservation laws and solution (1977) (74)
Integrable and superintegrable systems (1990) (71)
THE STRUCTURES OF HAMILTONIAN MECHANICS (1977) (66)
Super Korteweg-de Vries equations associated to super extensions of the Virasoro algebra (1985) (58)
Quantum Korteweg-de Vries Like Equations and Perturbed Conformal Field Theories (1989) (57)
Non-Abelian phase spaces (1994) (56)
Elements of Superintegrable Systems (1987) (55)
Poisson structures of superfluids (1982) (55)
Canonical maps between poisson brackets in eulerian and Lagrangian descriptions of continuum mechanics (1983) (47)
The Hamiltonian structure of classical chromohydrodynamics (1983) (46)
The analogy between spin glasses and Yang–Mills fluids (1988) (44)
The quantum group GLh(2) (1992) (41)
The quasiclassical limit of the modified KP hierarchy (1990) (39)
Noncanonical Hamiltonian formulation of ideal magnetohydrodynamics (1983) (38)
Gauge-invariant poisson brackets for chromohydrodynamics (1982) (37)
The Variational Principles of Dynamics (1992) (36)
On the Nature of the Virasoro Algebra (1999) (36)
Conservation laws and symmetries of generalized sine-Gordon equations (1981) (34)
On the nature of the Gardner transformation (1981) (33)
Odd and even Poisson brackets in dynamical systems (1985) (33)
A coupled Korteweg-de Vries equation with dispersion (1985) (32)
Dark Equations (2001) (31)
Relativistic fluid dynamics as a Hamiltonian system (1984) (31)
q-Probability: I. Basic Discrete Distributions (2000) (29)
Quantizations and integrable systems (1990) (28)
POISSON STRUCTURES OF SUPERCONDUCTORS (1983) (25)
Infinite-dimensional analogs of the minimal coupling principle and of the Poincaré lemma for differential two-forms (1992) (25)
Bosons and fermions interacting integrably with the Korteweg-de Vries field (1984) (24)
Hydrodynamical poisson brackets and local lie algebras (1987) (20)
Canonical property of the Miura maps between the MKP and KP hierarchies, continuous and discrete (1995) (20)
On a new way of writing the Navier-Stokes equation. The Hamiltonian formalism (2016) (19)
Canonical maps between semidirect products with applications to elasticity and superfluids (1983) (19)
Lyapunov stability of relativistic fluids and plasmas (1986) (19)
Hamiltonian theory of relativistic magnetohydrodynamics with anisotropic pressure (1986) (17)
q-Newton Binomial: From Euler To Gauss (2000) (17)
Multipressure regularization for multiphase flow (1984) (17)
Symplectic Geometries on $T^*\widetilde{G}$, Hamiltonian Group Actions and Integrable Systems (1992) (16)
YANG-MILLS MAGNETOHYDRODYNAMICS: NONRELATIVISTIC THEORY (1984) (16)
Elements of Superintegrable Systems: Basic Techniques and Results (1987) (15)
Elements of Superintegrable Systems: Basic Techniques and Results (1987) (15)
On algebraic models of dynamical systems (1982) (15)
Superintegrable systems. (1984) (15)
Super long waves (1986) (15)
On A Group Of Automorphisms Of The Noncommutative Burgers Hierarchy (2005) (15)
On the integrability of modified Lax equations (1989) (15)
A linear scattering problem for the finite depth equation (1980) (13)
Hamiltonian differencing of fluid dynamics (1985) (13)
Time discretizations of lattice integrable systems (1992) (12)
Classification of quantum group structures on the group GL(2) (1994) (12)
... And Free Lunch for All. A Review of Bruce C Berndt's Ramanujan's Notebooks, Parts I - V. (2000) (12)
Lie algebras and Korteweg-de Vries equations (1987) (12)
Quantum mechanics as an integrable system (1985) (12)
Relativistic chromohydrodynamics and Yang-Mills Vlasov plasma (1984) (12)
Extended Equations of Long Waves (2006) (10)
Quantum Differential Forms (1998) (10)
On dual spaces of differential Lie algebras (1983) (9)
Super loop groups, Hamiltonian actions and super Virasoro algebras (1990) (9)
Equations Of Long Waves With A Free Surface III. The Multidimensional Case (2005) (8)
A multipressure regularization for multiphase flow (1986) (8)
Book Review by B A Kupershmidt (2000) (8)
A multicomponent water wave equation (1985) (8)
Left-Symmetric Algebras in Hydrodynamics (2006) (7)
Phase Spaces of Algebras (2010) (7)
MODIFIED KORTEWEG-DE VRIES EQUATIONS ON EUCLIDEAN LIE ALGEBRAS (1989) (7)
RELATIVISTIC ANALOGS OF BASIC INTEGRABLE SYSTEMS (1990) (7)
All quantum group structures on the supergroup GL(1 mod 1) (1993) (6)
Hamiltonian formulation of ferromagnetic hydrodynamics (1988) (6)
Quantum Heisenberg group (1993) (6)
Poisson relations between minors and their consequences (1994) (6)
Oscillator representations of the 2D conformal algebra and superalgebra (1985) (6)
Noncommutative Integrable Systems of Hydrodynamic Type (2006) (6)
FREE RIGID BODY (1992) (5)
q-Analogs of Classical 6-Periodicity: From Euler to Chebyshev (2003) (5)
Linearized structures of lagrangian, hamiltonian, and quasi-hamiltonian systems (1986) (5)
Lagrangian formalism in variational calculus (1976) (5)
GEOMETRIC HAMILTONIAN FORMS FOR THE KADOMTSEV-PETVIASHVILI AND ZABOLOTSKAYA-KHOKHLOV EQUATIONS (1994) (5)
Hamiltonian structure and Lyapunov stability of a hyperbolic system of two-phase flow equations including surface tension (1986) (5)
Equations Of Long Waves With A Free Surface IV. The Case of Constant Shear (2006) (5)
Involutivity of Conservation Laws for a Fluid of Finite Depth and Benjamin-Ono Equations (1981) (5)
Twisted Diff S1-action on loop groups and representations of the virasoro algebra (1990) (5)
Classification of all Poisson-Lie structures on an infinite-dimensional jet group (1995) (5)
Supersymmetric fluid in a free one-dimensional motion (1984) (5)
Trace formulae for the quantum group GLq(2) (1992) (4)
Infinitely-Precise Space-Time Discretizations of the Equation ut + uux = 0 (1997) (4)
Long wave equations and metrizable Lie algebras (1988) (4)
An algebraic model of graded calculus of variations (1987) (4)
Nonautonomous form of the theory of Lax equations (1982) (4)
Hydrodynamics and electrohydrodynamics of adiabatic multiphase fluids and plasmas (1986) (4)
A q-analogue of the dual space to the Lie algebras gl(2) and sl(2) (1993) (4)
Is a bi-Hamiltonian system necessarily integrable? (1987) (4)
Mathematical aspects of quantum fluids. I. Generalized two‐cycles of 4He type (1985) (4)
Super analog of conformal spin (1985) (3)
Planar incompressible Yang-Mills magnetohydrodynamics (1984) (3)
Hydrodynamical chains of Pavlov class (2006) (3)
Classical Superintegrable Systems (1987) (3)
Integrable Systems: The structures of Hamiltonian mechanics (Volume 32, 1977) (1981) (3)
Lyapunov stability conditions for relativistic multifluid plasma (1986) (3)
Remarks on Random Evolutions in Hamiltonian Representation (1998) (3)
A deformation of the general zero‐curvature equations associated to simple Lie algebras (1983) (3)
? → Neveu-Schwarz-Ramond superalgebra → Virasoro algebra (1985) (3)
Hamiltonian formalism for reversible non-equilibrium fluids with heat flow (1990) (3)
Hamiltonian formalism for discrete integrable systems of KP and MKP types (2000) (3)
Singular symmetries of integrable curves and surfaces (1982) (3)
GL2-orbit of the Korteweg-de Vries equation (1991) (3)
Coadjoint Poisson Actions of Poisson-Lie Groups (1999) (2)
Korteweg‐de Vries surfaces and Bäcklund curves (1982) (2)
Hamiltonian Formalism in Quantum Mechanics (1998) (2)
Factorization of quasiclassical integrable systems (1990) (2)
Quasirelativistic Analogs of Lax Equations (1993) (2)
Extensions of 1-Dimensional Polytropic Gas Dynamics (2006) (2)
Mathematical aspects of quantum fluids. III. Interior Clebsch representations and transformations of symplectic two‐cocycles for 4He (1986) (2)
DISCRETIZATION OF IDEAL FLUID DYNAMICS IN THE EULERIAN REPRESENTATION (1986) (2)
Invariance of the stationary manifold of a conserved density (1987) (2)
Cylindrical reduction of continuous dynamical systems (1984) (2)
Remarks on Robin's and Niocolas Inequalities (2009) (1)
Soliton Equations and Hamiltonian Systems (L. A. Dickey) (1994) (1)
Connections between free-surface systems of hydrodynamical type and generalized kinetic equations (1990) (1)
Cotangent space analogs of the Korteweg-de Vries and related equations (1993) (1)
Great powers of -calculus (1999) (1)
QUASICLASSICAL LIMIT OF QUANTUM MATRIX GROUPS (1991) (1)
And free lunch for all... (2000) (1)
Mathematics of Quantum Numbers: A Collection of 274 Research Papers on Quantum Numbers (2010) (1)
Remarks on Quantization of Classical r-Matrices (1999) (1)
A super space-time form of the hydrodynamics of free relativistic fluids (1985) (1)
Hydrodynamical reductions of the lattice KP hierarchy (1992) (1)
Cylindrically invariant flows in relativistic fluid dynamics (1987) (1)
SUGAWARA-TYPE CONSTRUCTIONS FOR THE CLASSICAL WN ALGEBRA (1993) (1)
Cylindrically invariant solutions of ideal compressible magnetohydrodynamics (1985) (1)
Symplectic Geometries on T (1995) (1)
Quantum subgroups of the quantum group GL(2) (1994) (1)
Quasi-Hamiltonian mechanics associated to representations of Lie algebras (1987) (1)
Canonical lagrangian for relativistic adiabatic fluid dynamics (1987) (1)
Mathematical aspects of quantum fluids. II. Nonrotating 4He and Clebsch representations of symplectic two‐cocycles (1986) (1)
A supersymmetric integrable system for arbitrary N (1990) (1)
KP, then MKP (2000) (1)
Variational Principles of the First Kind (1992) (0)
The idea of Lax representations and its discrete-time analog (2000) (0)
Kinetic representation of the KP hierarchy (1989) (0)
Remarks On A Nicolas Inequality (2008) (0)
On the motion equations of a spinning fluid (1989) (0)
Form-invariance upon relativisation of the Hamiltonian structures of fluids is not universal (1991) (0)
A quantum analog of the group of motions on the plane and of its coadjoint representation (1993) (0)
TYPICAL PHYSICAL SYSTEMS (1992) (0)
Kinetic representation of discrete integrable systems (1989) (0)
Lie-Algebraic Identities (1987) (0)
The toda lattice, the relativistic toda lattice, and related systems (2000) (0)
The MKP hierarchy (2000) (0)
Variational Principles (abelian Case) (1992) (0)
INTRODUCTION: A Dissection of Compressible Fluid Dynamics (1992) (0)
Clebsch Representations (abelian Case) (1992) (0)
A quantum cubic representation for 16 (2009) (0)
On the kinetic equations of a system of one-dimensional hard rods (1988) (0)
Form Artin relation to Quantum Yang – Baxter equation to Classical Yang – Baxter equation (2008) (0)
Re )-Examining the Past q-Newton Binomial : From Euler To Gauss (2000) (0)
The quasirelativistic KP hierarchy (2000) (0)
LIOUVILLE'S PRINCIPLE (2007) (0)
The structures of generalized noncommutative Toda lattices (1985) (0)
Between KP and MKP (2000) (0)
A Hidden Group Structure for the Integrals of the Benney System (2008) (0)
Noncommutative Lagrangian formalism (2000) (0)
Bi-SuperHamiltonian Systems (1987) (0)
NONNEGATIVITY OF MASS AND ENTROPY IN CONTINUOUS DYNAMICS (1989) (0)
Undressing of odd pseudodifferential operators (1987) (0)
A supersymmetric Benney hierarchy: a semiintegrable system (1990) (0)
Systems of the MKP type (2000) (0)
Graduate Council: Starting Fall 2007, only electronic form for Dissertations and Master's Thesis will be accepted for university records. (2007) (0)
Averaging in dynamical and hamiltonian systems (1987) (0)
Variational Calculus with Anticommuting Variables (1987) (0)
The Prototypical Dynamical Systems and Their Hamiltonian Properties (1992) (0)
On a sequence of continued fractions of Ramanujan and theirq-analogs (1996) (0)
Relativistic toda lattice and related systems (2000) (0)
SUPERVARIATIONAL PRINCIPLES (ABELIAN CASE) (1992) (0)
The quantum group ThGL(n) (1992) (0)
A canonical representation for the orbital angular momentum in anistropic superfluid 3He - A (1985) (0)
Families of generalized sine-Gordon fields (1982) (0)
A canonical representation for the orbital angular momentum in anistropic superfluid 3He - A (1985) (0)
Relative Symmetries of Differential Equations (1984) (0)
Quantum phase space of the group of affine transformations of the line (1994) (0)
Variational Principles of the Second Kind (1992) (0)
Noncommutative Hamiltonian formalism (2000) (0)
SuperHamiltonian Formalism and Infinite-Dimensional Stable Lie Superalgebras (1987) (0)
On skew-symmetric and general deformations of Lax pseudodifferential operators (2008) (0)
Semidirect Sum Lie Algebras, Generalized Symplectic Two-Cocycles Hamiltonian Maps Between Semidirect Sums (1992) (0)
Differential Calculus on Quantum Matrix Lie Groups (2016) (0)
The noncommutative Hamiltonian formalism over differential-difference rings (2000) (0)
Odd variables in classical mechanics and in Yang-Mills fluid dynamics (1985) (0)
The KP hierarchy (2000) (0)
Per unit mass versus per unit volume descriptions of continuous hamiltonian systems (1987) (0)
Lie Algebras, Generalized Two-Cocycles Affine Hamiltonian Operators (1992) (0)
The second construction of integrals of the KP hierarchy (2000) (0)
Variational Derivatives of Conservation Laws and the SuperHamiltonian Structure of Classical Superintegrable Systems (1987) (0)
MKP = M+KP (2000) (0)
Relativistic Compressible Fluid Dynamics (1992) (0)
The hydrodynamical representation (2000) (0)
Residue Calculus in Modules of Differential Forms over Superalgebras of Pseudo-Differential Operators (1987) (0)
The Gibbons forms (2000) (0)
Se p 20 07 KdV 6 : An Integrable System (2008) (0)
The noncommutative differential-difference calculus (2000) (0)

This paper list is powered by the following services:

Boris A. Kupershmidt's Academic­Influence.com Rankings

Why Is Boris A. Kupershmidt Influential?

Boris A. Kupershmidt's Published Works

Published Works

Boris A. Kupershmidt's AcademicInfluence.com Rankings