Boris Georgievich Konopelchenko

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Boris Georgievich Konopelchenko's Published Works

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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

Some new integrable nonlinear evolution equations in 2 + 1 dimensions (1984) (312)
(1+1)-dimensional integrable systems as symmetry constraints of (2+1)-dimensional systems (1991) (230)
Induced Surfaces and Their Integrable Dynamics (1996) (225)
On (2+1)-dimensional nonlinear systems of Loewner-type (1991) (126)
Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality (1998) (119)
Solitons in Multidimensions: Inverse Spectral Transform Method (1993) (115)
Constant mean curvature surfaces via an integrable dynamical system (1995) (114)
Introduction to Multidimensional Integrable Equations (1992) (109)
An r-Matrix Approach to Nonstandard Classes of Integrable Equations (1993) (105)
On generalized Loewner systems: Novel integrable equations in 2+1 dimensions (1993) (92)
Weierstrass Representations for Surfaces in 4D Spaces and Their Integrable Deformations via DS Hierarchy (1998) (86)
delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation (1994) (85)
New reductions of the Kadomtsev–Petviashvili and two‐dimensional Toda lattice hierarchies via symmetry constraints (1992) (82)
Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies (1997) (82)
The AKNS hierarchy as symmetry constraint of the KP hierarchy (1991) (76)
On the gauge-invariant description of the evolution equations integrable by Gelfand-Dikij spectral problems (1982) (74)
On the theory of recursion operator (1984) (70)
Nonlinear Integrable Equations (1987) (67)
Induced Surfaces and Their Integrable Dynamics Ii. Generalized Weierstrass Representations in 4‐d Spaces and Deformations via Ds Hierarchy (1998) (66)
Lattice and q-difference Darboux-Zakharov-Manakov systems via delta -dressing method (1995) (64)
The ∂-approach to the dispersionless KP hierarchy (2001) (64)
GENERALIZED WEIERSTRASS-ENNEPER INDUCING, CONFORMAL IMMERSIONS, AND GRAVITY (1995) (60)
Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy (2001) (60)
Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces (1998) (59)
Elementary Bäcklund transformations, nonlinear superposition principle and solutions of the integrable equations (1982) (58)
Introduction to Multidimensional Integrable Equations: The Inverse Spectral Transform in 2+1 Dimensions (1993) (58)
SOLITON EIGENFUNCTION EQUATIONS: THE IST INTEGRABILITY AND SOME PROPERTIES (1990) (55)
A (2+1)-dimensional sine-Gordon system: its auto-Bäcklund transformation (1992) (54)
Inverse spectral transform for the modified Kadomtsev-Petviashvili equation (1992) (53)
Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical ∂̄-dressing method (2001) (52)
Coisotropic Deformations of Associative Algebras and Dispersionless Integrable Hierarchies (2006) (51)
Generalized Weierstrass formulae, soliton equations and Willmore surfaces. I. Tori of revolution and the mKdV equation (1995) (46)
Backlund transformations via gauge transformations in 2+1 dimensions (1985) (42)
Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type (2003) (42)
Integrable deformations of affine surfaces via the Nizhnik-Veselov-Novikov equation (1998) (41)
Singular sector of the Burgers–Hopf hierarchy and deformations of hyperelliptic curves (2002) (38)
Inverse spectral transform for the (2 + 1)-dimensional Gardner equation (1991) (35)
On solutions of the shape equation for membranes and strings (1997) (35)
Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy (1996) (35)
On the ∂¯-dressing method applicable to heavenly equation (2005) (35)
Reciprocal Figures, Graphical Statics, and Inversive Geometry of the Schwarzian BKP Hierarchy (2001) (35)
The linear spectral problem of arbitrary order: The general form of the integrable equations and their Bäcklund transformations (1980) (32)
The non-Abelian (1 + 1)-dimensional Toda lattice as the periodic fixed point of the Laplace transform for (2 + 1)-dimensional integrable systems (1991) (32)
The two-dimensional second-order differential spectral problem: compatibility conditions, general BTs and integrable equations (1988) (32)
On the structure of equations integrable by the arbitrary-order linear spectral problem (1981) (30)
On Dispersionless BKP Hierarchy and its Reductions (2004) (28)
∂̄-equations, integrable deformations of quasiconformal mappings and Whitham hierarchy (2001) (28)
On the structure of integrable evolution equations (1980) (27)
Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations (2002) (27)
The 2+1 dimensional integrable generalization of the sine-Gordon equation. II. Localized solutions (1993) (27)
Lattice and q-difference Darboux-Zakharov-Manakov systems via ∂̄-dressing method (1995) (27)
Multidimensional Integrable Systems (1992) (26)
Transformation properties of the integrable evolution equations (1981) (25)
Grassmannians Gr(N − 1, N + 1), closed differential N − 1-forms and N-dimensional integrable systems (2012) (25)
On the structure and properties of the singularity manifold equations of the KP hierarchy (1991) (24)
Integrable Equations in Nonlinear Geometrical Optics (2004) (24)
On the inverse scattering transform for the Ishimori equation (1989) (24)
Bäcklund and Reciprocal Transformations: Gauge Connections (1992) (23)
The polynomial spectral problem of arbitrary order: a general form of the integrable equations and Backlund transformations (1981) (23)
On Classical String Configurations (1997) (22)
Inverse Spectral Transform for the Nonlinear Evolution Equation Generating the Davey-Stewartson and Ishimori Equations (1990) (22)
Dispersionless integrable equations as coisotropic deformations: Extensions and reductions (2006) (21)
On the group theoretical analysis of differential equations (1980) (20)
A Dimensional Integrable Generalization of the Sine-Gordon Equation I. -∂-Dressing and the Initial Value Problem (1993) (20)
The group structure of Bäcklund transformations (1979) (20)
Nets in R3, their integrable evolutions and the DS hierarchy (1993) (18)
Projective Generalizations of Lelieuvre's Formula (1998) (18)
Integrable quasiclassical deformations of algebraic curves (2004) (18)
The KP Hierarchy in Miwa Coordinates (1999) (17)
Light Propagation in a Cole-Cole Nonlinear Medium via the Burgers-Hopf Equation (2004) (17)
Confluence of hypergeometric functions and integrable hydrodynamic-type systems (2015) (16)
Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler–Poisson–Darboux equation (2010) (16)
On the heavenly equation hierarchy and its reductions (2005) (16)
Nonlinear Transformations and Integrable Evolution Equations (1983) (16)
LETTER TO THE EDITOR: Geometrical optics in nonlinear media and integrable equations (2003) (15)
On the structure of the commutative Z2 graded algebra valued integrable equations (1980) (15)
Coherent structures for the Ishimori equation. I.: localized solutions with stationary boundaries (1991) (14)
General Nth-order differential spectral problem: General structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance (1984) (14)
Bäcklund-calogero group and general form of integrable equations for the two-dimensional Gelfand-Dikij-Zakharov-Shabat problem bilocal approach (1985) (13)
The general form of nonlinear evolution equations integrable by matrix gelfand-dikij spectral problem and their group-theoretical and hamiltonian structures (1984) (13)
Quantum deformations of associative algebras and integrable systems (2009) (13)
On the unification of classical and novel integrable surfaces. I. Differential geometry (2001) (13)
On the general structure of nonlinear evolution equations integrable by the two-dimensional matrix spectral problem (1982) (13)
Parabolic regularization of the gradient catastrophes for the Burgers–Hopf equation and Jordan chain (2017) (12)
General structure of nonlinear evolution equations in 1+2 dimensions integrable by the two-dimensional Gelfand-Dickey-Zakharov-Shabat spectral problem and their transformation properties (1983) (12)
Reductions of (2+1)-dimensional integrable systems via mixed potential-eigenfunction constraints (1992) (12)
On the structure of nonlinear evolution equations integrable by the Z2-graded quadratic bundle (1982) (12)
Quasiclassical generalized Weierstrass representation and dispersionless DS equation (2007) (12)
D bar dressing and Sato theory (1993) (11)
Zeros and amoebas of partition functions (2016) (11)
Soliton curvatures of surfaces and spaces (1997) (11)
CONFORMAL GEOMETRY OF THE (DISCRETE) SCHWARZIAN DAVEY-STEWARTSON II HIERARCHY (2003) (11)
Inverse spectral transform for the Harry Dym equation on the complex plane (1995) (11)
Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies (2001) (11)
Nonlinear Beltrami equation and τ-function for dispersionless hierarchies (2003) (11)
Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy (2002) (11)
Recursion and group structures of the integrable equations in 1+1 and 1+2 dimensions. Bilocal approach (1988) (10)
Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies (1998) (10)
Matrix Sato Theory and Integrable Equations in 2+1 Dimensions (1992) (10)
Coherent structures for the Ishimori equation. II.: time-dependent boundaries (1992) (10)
On the general structure of integrable equations and ZN-type reductions (1982) (10)
On rigid string instantons in four dimensions (1999) (10)
Deformations of Plane Algebraic Curves and Integrable Systems of Hydrodynamic Type (2002) (9)
A novel generalization of Clifford's classical point–circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian Kadomtsev–Petviashvili equation (2008) (9)
Coisotropic deformations of algebraic varieties and integrable systems (2009) (9)
Generalized integrable hierarchies and Combescure symmetry transformations (1996) (9)
On the singular sector of the Hermitian random matrix model in the large N limit (2010) (9)
The two-dimensional matrix spectral problem: General structure of the integrable equations and their Bäcklund transformations (1981) (9)
Inverse spectral transform for the Ishimori equation: I. Initial value problem (1990) (8)
Quantum effects for extrinsic geometry of strings via the generalized Weierstrass representation (1998) (8)
On the general structure of nonlinear equations integrable by the general linear spectral problem (1983) (8)
Projective differential geometry of multidimensional dispersionless integrable hierarchies (2013) (8)
Jordan form, parabolicity and other features of change of type transition for hydrodynamic type systems (2015) (8)
Semiclassical $$\bar \partial $$ -Method: Generating Equations for Dispersionless Integrable Hierarchies (2003) (8)
On the interrelation between the solutions of the mKP and KP equations via the Miura transformation (1991) (8)
Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter (2012) (8)
Gauss - Codazzi equations for generic surfaces: equivalence to the DS linear problem with constraint, linearizability and reductions (1997) (8)
On the adjoint representation for spectral problems and its relation with the Akns-method, gauge transformations and Riemann problem (1983) (8)
Tropical limit in statistical physics (2015) (8)
On generalisation of the Backlund-Calogero transformations for integrable equations (1988) (7)
Symmetry constraints for real dispersionless Veselov-Novikov equation (2004) (7)
Singular sector of the Kadomtsev–Petviashvili hierarchy, ∂̄ operators of nonzero index, and associated integrable systems (2000) (7)
On the integrable equations and degenerate dispersion laws in multidimensional spaces (1983) (7)
Hamiltonian structure of the integrable equations under matrix ZN-reduction (1982) (7)
Trapezoidal discrete surfaces: geometry and integrability (1999) (7)
On Hamiltonian structure of integrable equations under the group and matrix reductions (1981) (7)
On equation of geodesic deviation and its solutions (1997) (7)
Integrable Deformations of Algebraic Curves (2004) (6)
On the Deformation Theory of Structure Constants for Associative Algebras (2008) (6)
Generalized KP hierarchy: Mbius symmetry, symmetry constraints and CalogeroMoser system (1999) (6)
HIDDEN INTEGRABLE HIERARCHIES OF AKNS TYPE (1999) (6)
On universality of homogeneous Euler equation (2021) (6)
Surfaces of revolution via the Schrödinger equation: Construction, integrable dynamics and visualization (1997) (6)
Discrete integrable systems and deformations of associative algebras (2009) (6)
Critical points, Lauricella functions and Whitham-type equations (2014) (5)
Integrable systems for ∂ operators of non-zero index (1997) (5)
Bäcklund transformations via gauge transformations in 2+1 dimensions (1987) (5)
Hamiltonian structure of the general integrable equations under reductions (1985) (5)
Singular sectors of the one-layer Benney and dispersionless Toda systems and their interrelations (2011) (5)
Algebraic curves in Birkhoff strata of Sato Grassmannian (2010) (5)
LETTER TO THE EDITOR: Surfaces of revolution and their integrable dynamics via the Schrödinger and KdV equations (1996) (5)
Geometry of basic statistical physics mapping (2016) (5)
On the general structure of nonlinear evolution equations and their Backlund transformations connected with the matrix non-stationary Schrodinger spectral problem (1982) (5)
Spectral curves in gauge/string dualities: integrability, singular sectors and regularization (2013) (4)
Algebraic varieties in the Birkhoff strata of the Grassmannian Gr(2): Harrison cohomology and integrable systems (2011) (4)
Integrable equations and differential geometry (1979) (4)
Solitons of curvature (1995) (4)
Integrable quasiclassical deformations of cubic curves (2005) (4)
The Harry Dym equation on the complex plane: Inverse spectral transform and exact solutions (1994) (4)
Discrete, q-difference deformations of associative algebras and integrable systems (2008) (4)
Birkhoff Strata of Sato Grassmannian and Algebraic Curves (2010) (4)
A classification of integrable quasiclassical deformations of algebraic curves (2006) (4)
Self-dual Einstein spaces and the general heavenly equation. Eigenfunctions as coordinates (2020) (4)
The Nizhnik-Veselov-Novikov equation : Associated boundary value problems (1996) (4)
Birkhoff strata of the Grassmannian Gr(2): Algebraic curves (2010) (3)
Hierarchy of Poisson brackets for elements of a scattering matrix (1984) (3)
Singular sector of the KP hierarchy, $\bar{\partial}$-operators of non-zero index and associated integrable systems (1998) (3)
Method of recursion operator for pseudodifferential spectral problems. I: Dispersive long wave equations (1986) (3)
Elliptic Euler–Poisson–Darboux equation, critical points and integrable systems (2013) (3)
Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras (2009) (3)
Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations (2014) (3)
ON OPERATOR REPRESENTATION OF INTEGRABLE EQUATIONS (1988) (3)
On the plane into plane mappings of hydrodynamic type. Parabolic case (2019) (3)
On an integrable multi-dimensionally consistent 2n + 2n-dimensional heavenly-type equation (2019) (3)
Gradient catastrophe and flutter in vortex filament dynamics (2011) (3)
Quasi-classical \bar{\partial} -dressing approach to the weakly dispersive KP hierarchy (2003) (2)
Bilocal recursion structure of two-dimensional integrable equations (1987) (2)
High frequency integrable regimes in nonlocal nonlinear optics (2006) (2)
Paraxial light in a Cole-Cole nonlocal medium: integrable regimes and singularities (2005) (2)
Completely integrable theories as theories of spontaneous breakdown (1979) (2)
S I ] 2 8 N ov 2 00 1 Quasi-classical ∂̄-method : Generating equations for dispersionless integrable hierarchies (2008) (2)
On exact solutions of nonlinear integrable equations via integral linearising transforms and generalised Backlund-Darboux transformations (1990) (2)
On relativistic-invariant formulation of the inverse scattering transform method (1979) (2)
Eigenfunction equations in Sato theory (1990) (2)
S I ] 1 6 M ar 2 00 1 ∂-approach to the dispersionless KP hierarchy ∗ (2001) (2)
The Inverse Spectral Transform Method in 2+1 Dimensions (1992) (2)
On the nonlinear evolution equations connected with multidimensional scattering problems (1983) (2)
Unfolding of singularities and differential equations (2011) (1)
Nonformal recursion operators and nonlinear integrable evolution equations (1986) (1)
Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy (2000) (1)
Induced surfaces and their integrable deformations (2001) (1)
Extensions of the Poincare algebra by spinor generators (1975) (1)
Homogeneous Euler equation: blow-ups, gradient catastrophes and singularity of mappings (2021) (1)
A Classification of Integrable (2006) (1)
Страты Биркгофа в грассманиане $\mathrm{Gr}^{(2)}$: алгебраические кривые@@@Birkhoff strata of the Grassmannian $\mathrm{Gr}^{(2)}$: Algebraic curves (2011) (1)
Bootstrap equations for arbitrary interaction (1974) (1)
Proceedings of the Workshop "Nonlinear Physics: Theory and Experiment" Vol 167 n3 and Vol 168 n1 of Theoretical and Mathematical Physics (2011) (1)
MENELAUS RELATION, HIROTA–MIWA EQUATION AND FAY'S TRISECANT FORMULA ARE ASSOCIATIVITY EQUATIONS (2009) (1)
Singular sector of the KP hierarchy, ∂̄-operators of non-zero index and associated integrable systems (1998) (1)
On dbar-problem and integrable equations (2000) (1)
On the fine structure and hierarchy of gradient catastrophes for multidimensional homogeneous Euler equation (2022) (1)
On nontrivial interactions and complete integrability of soliton equations (1991) (1)
Möbius invariant integrable lattice equations associated with the generalized KP hierarchy (2000) (1)
Corrugated Surfaces with Slow Modulation and Quasiclassical Weierstrass Representation (2006) (1)
Móbius Symmetry, KP Symmetry Constraints and Calogero-Moser System (2000) (1)
Hamiltonian motions of plane curves and formation of singularities and bubbles (2010) (1)
Confluence of hypergeometric functions and integrable hydrodynamic-type systems (2016) (0)
dbar-approach to the dispersionless KP hierarchy (2001) (0)
Integrable semiclassical deformations of general algebraic curves and associated conservation laws (2007) (0)
Cohomological and Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of the Sato Grassmannian (2013) (0)
Ju l 1 99 8 Projective generalizations of Lelieuvre ’ s formula (0)
Generalization and reductions of the differential spectral problem and integrodifferential spectral problems (1987) (0)
On blowups of vorticity for the homogeneous Euler equation (2023) (0)
Ellipticity conditions for the Lax operator of the KP equations (2000) (0)
Nonlinear physics: Theory and experiment VI (2009) (0)
Symmetry groups of completely integrable equations (1977) (0)
General structure and properties of the integrable nonlinear evolution equations in 1+1 and 2+1 dimensions (1988) (0)
Classical solutions of the field equations (1977) (0)
Surfaces in 4d Spaces and Their Integrable Dynamics via Weierstrass Type Representations (2000) (0)
Discrete surfaces of revolution (2000) (0)
On the models of nonlocal nonlinear optics (2005) (0)
2 2 N ov 2 00 4 On dispersionless BKP hierarchy and its reductions (2004) (0)
Cohomological and Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of the Sato Grassmannian (2013) (0)
On spectral problems and compatibility conditions in multidimensions (1987) (0)
Coisotropic deformation of an elliptic curve and linear ∞ows on the flrst Birkofi stratum (2009) (0)
2 3 Ja n 19 99 On rigid string instantons in four dimensions (0)
Birthday celebration speech for Professor Colin Rogers (2012) (0)
ONE-LOOP ANALYSIS OF QCD STRINGS WORLD SHEETS IN ℝ4 THROUGH A WEIERSTRASS-TYPE REPRESENTATION (2001) (0)
Geometrical optics in nonlinear media and integrable equations [letter] (2004) (0)
ON THE QUASI-CLASSICAL $ \bar \partial $-DRESSING METHOD (2003) (0)
Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013) (2014) (0)
Backlund-Calogero group for the general differential spectral problem of an arbitrary order (1985) (0)
General Methods for the Construction of (2+1)-Dimensional Integrable Equations. τ-Function and ∂̄-Dressing Methods (1992) (0)
Nonlinear Equations for Soliton Eigenfunctions Are the IST Integrable Equations (1990) (0)
0 Se p 20 04 Integrable Deformations of Algebraic Curves . ∗ (2005) (0)
Other Integrable Equations and Methods of Solution in 2+1 Dimensions (1992) (0)
The hierarchy of the Poisson brackets between the elements of the scattering matrix for the general differential spectral problem (1986) (0)
On the -problem and integrable equations (2001) (0)
Two-dimensional matrix spectral problem (1987) (0)
3 0 M ay 2 01 1 Singular sectors of the 1-layer Benney and dToda systems and their interrelations (2013) (0)
Fe b 20 00 On ∂-problem and integrable equations (2000) (0)
General differential spectral problem (1987) (0)
Multi-dimensional Jordan chain and Navier-Stokes equation (2022) (0)
On symmetry of the homogeneous Schwinger-Dyson equations (1974) (0)
Solitons in 1+1 and 2+1 dimensions (2012) (0)
Completely integrable equations: dynamical groups and their nonlinear realisations (1979) (0)
“Nonstandard” Classes of Integrable Equations in 1+1 and 2+1 Dimensions (1991) (0)
Polynomial and rational bundles (1987) (0)
2 1 Fe b 20 05 Integrable Quasiclassical Deformations of Cubic Curves . ∗ (2005) (0)
Entropy driven transformations of statistical hypersurfaces (2019) (0)
Hierarchies of poisson brackets for elements of the scattering matrices (1988) (0)
Integrability properties of a symmetric 4 + 4-dimensional heavenly-type equation (2019) (0)
Recursion and group structures of soliton equations (1989) (0)
Solitons in 1+1 and 2+1 dimensions (2012) (0)

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University of New South Wales

Boris Georgievich Konopelchenko's Academic­Influence.com Rankings

Why Is Boris Georgievich Konopelchenko Influential?

Boris Georgievich Konopelchenko's Published Works

Published Works

What Schools Are Affiliated With Boris Georgievich Konopelchenko?

Boris Georgievich Konopelchenko's AcademicInfluence.com Rankings