B. Konopelchenko

发表

delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation

V. Dubrovsky, B. Konopelchenko, 1994 .

Three–dimensional integrable lattices in Euclidean spaces: conjugacy and orthogonality

B. Konopelchenko, W. Schief, 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Some new integrable nonlinear evolution equations in 2 + 1 dimensions

Boris Konopelchenko, V. Dubrovsky, B. Konopelchenko, 1984 .

Geometry of basic statistical physics mapping

B. Konopelchenko, M. Angelelli, 2016, 1602.07931.

Lattice and q-difference Darboux-Zakharov-Manakov systems via delta -dressing method

L. V. Bogdanov, B. Konopelchenko, 1995, solv-int/9501007.

Hierarchy of Poisson brackets for elements of a scattering matrix

V. Dubrovsky, B. Konopelchenko, 1984 .

Zeros and amoebas of partition functions

B. Konopelchenko, M. Angelelli, Mario Angelelli, 2016, Reviews in Mathematical Physics.

Parabolic regularization of the gradient catastrophes for the Burgers–Hopf equation and Jordan chain

B. Konopelchenko, G. Ortenzi, 2017, Journal of Physics A: Mathematical and Theoretical.

The hierarchy of the Poisson brackets between the elements of the scattering matrix for the general differential spectral problem

V. Dubrovsky, B. Konopelchenko, 1986 .

Recursion and group structures of the integrable equations in 1+1 and 1+2 dimensions. Bilocal approach

B. Konopelchenko, 1988 .

Bilocal recursion structure of two-dimensional integrable equations

B. Konopelchenko, 1987 .

Backlund transformations via gauge transformations in 2+1 dimensions

B. Konopelchenko, M. Boiti, F. Pempinelli, 1985 .

The general form of nonlinear evolution equations integrable by matrix gelfand-dikij spectral problem and their group-theoretical and hamiltonian structures

V. Dubrovsky, B. Konopelchenko, 1984 .

On the general structure of nonlinear evolution equations integrable by the two-dimensional matrix spectral problem

B. Konopelchenko, 1982 .

On the general structure of nonlinear evolution equations and their Backlund transformations connected with the matrix non-stationary Schrodinger spectral problem

B. Konopelchenko, 1982 .

The two-dimensional second-order differential spectral problem: compatibility conditions, general BTs and integrable equations

B. Konopelchenko, 1988 .

On spectral problems and compatibility conditions in multidimensions

B. Konopelchenko, 1987 .

Method of recursion operator for pseudodifferential spectral problems. I: Dispersive long wave equations

B. Konopelchenko, 1986 .

Discrete integrable systems and deformations of associative algebras

B. Konopelchenko, 2009, 0904.2284.

Algebraic curves in Birkhoff strata of Sato Grassmannian

B. Konopelchenko, G. Ortenzi, 2010 .

A Dimensional Integrable Generalization of the Sine-Gordon Equation I. -∂-Dressing and the Initial Value Problem

V. Dubrovsky, B. Konopelchenko, 1993 .

Integrable discretization of hodograph-type systems, hyperelliptic integrals and Whitham equations

B. Konopelchenko, W. Schief, 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Quasi-classical \bar{\partial} -dressing approach to the weakly dispersive KP hierarchy

B. Konopelchenko, A. Moro, 2003, nlin/0303063.

Reciprocal Figures, Graphical Statics, and Inversive Geometry of the Schwarzian BKP Hierarchy

B. Konopelchenko, W. Schief, 2001, nlin/0107001.

On the Deformation Theory of Structure Constants for Associative Algebras

B. Konopelchenko, B.G.Konopelchenko, 2008, 0811.4725.

LETTER TO THE EDITOR: Surfaces of revolution and their integrable dynamics via the Schrödinger and KdV equations

B. Konopelchenko, 1996 .

Eigenfunction equations in Sato theory

B. Konopelchenko, 1990 .

On the theory of recursion operator

B. Konopelchenko, V. Zakharov, 1984 .

Algebraic varieties in the Birkhoff strata of the Grassmannian Gr(2): Harrison cohomology and integrable systems

B. Konopelchenko, G. Ortenzi, 2011, 1102.0700.

Bootstrap equations for arbitrary interaction

B. Konopelchenko, 1974 .

Quantum effects for extrinsic geometry of strings via the generalized Weierstrass representation

B. Konopelchenko, G. Landolfi, 1998, hep-th/9810209.

On Dispersionless BKP Hierarchy and its Reductions

L. V. Bogdanov, B. Konopelchenko, 2004, nlin/0411046.

Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type

L. V. Bogdanov, B. Konopelchenko, 2003, nlin/0312013.

Nonlinear Beltrami equation and τ-function for dispersionless hierarchies

L. V. Bogdanov, B. Konopelchenko, 2003, nlin/0310038.

LETTER TO THE EDITOR: Geometrical optics in nonlinear media and integrable equations

B. Konopelchenko, A. Moro, 2003, nlin/0312069.

Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations

B. Konopelchenko, Martínez L. Alonso, 2002, nlin/0201039.

The ∂-approach to the dispersionless KP hierarchy

B. Konopelchenko, L. Alonso, O. Ragnisco, 2001 .

Dispersionless scalar integrable hierarchies, Whitham hierarchy, and the quasiclassical ∂̄-dressing method

B. Konopelchenko, L. Alonso, 2001, nlin/0105071.

A Classification of Integrable

B. Konopelchenko, E. Medina, 2006 .

Integrable Equations in Nonlinear Geometrical Optics

B. Konopelchenko, A. Moro, 2004, nlin/0403051.

High frequency integrable regimes in nonlocal nonlinear optics

B. Konopelchenko, A. Moro, 2006, nlin/0603062.

On the adjoint representation for spectral problems and its relation with the Akns-method, gauge transformations and Riemann problem

B. Konopelchenko, 1983 .

Generalized Weierstrass formulae, soliton equations and Willmore surfaces. I. Tori of revolution and the mKdV equation

B. Konopelchenko, I. Taimanov, 1995, dg-ga/9506011.

Constant mean curvature surfaces via an integrable dynamical system

B. Konopelchenko, I. Taimanov, Boris Konopelchenko, 1995, dg-ga/9505006.

Transformation properties of the integrable evolution equations

B. Konopelchenko, 1981 .

On the structure of nonlinear evolution equations integrable by the Z2-graded quadratic bundle

B. Konopelchenko, I. B. Formusatic, 1982 .

Symmetry constraints for real dispersionless Veselov-Novikov equation

L. V. Bogdanov, B. Konopelchenko, A. Moro, 2004, nlin/0406023.

Generalized KP hierarchy: Mbius symmetry, symmetry constraints and CalogeroMoser system

L. V. Bogdanov, B. Konopelchenko, 1999, solv-int/9912005.

Elliptic Euler–Poisson–Darboux equation, critical points and integrable systems

B. Konopelchenko, G. Ortenzi, G. Ortenzi, 2013, 1306.4192.

Quasi‐Classical Approximation in Vortex Filament Dynamics. Integrable Systems, Gradient Catastrophe, and Flutter

B. Konopelchenko, G. Ortenzi, 2012 .

Tropical limit in statistical physics

B. Konopelchenko, M. Angelelli, 2015, 1502.01229.

Elementary Bäcklund transformations, nonlinear superposition principle and solutions of the integrable equations

B. G. Konopelchenko, B. Konopelchenko, 1982 .

Induced Surfaces and Their Integrable Dynamics Ii. Generalized Weierstrass Representations in 4‐d Spaces and Deformations via Ds Hierarchy

B. Konopelchenko, G. Landolfi, 1998, math/9810138.

On Classical String Configurations

B. Konopelchenko, G. Landolfi, 1997, solv-int/9710008.

Induced Surfaces and Their Integrable Dynamics

Boris Konopelchenko, B. Konopelchenko, 1996 .

Weierstrass Representations for Surfaces in 4D Spaces and Their Integrable Deformations via DS Hierarchy

B. Konopelchenko, 1998, math/9807129.

On the unification of classical and novel integrable surfaces. I. Differential geometry

B. Konopelchenko, W. Schief, 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

The two-dimensional matrix spectral problem: General structure of the integrable equations and their Bäcklund transformations

B. Konopelchenko, 1981 .

Generalized Weierstrass representation for surfaces in multi-dimensional Riemann spaces

B. Konopelchenko, G. Landolfi, 1998, math/9804144.

Introduction to Multidimensional Integrable Equations

Boris Konopelchenko, Colin Rogers, C. Rogers, 1992 .

2 3 Ja n 19 99 On rigid string instantons in four dimensions

B. Konopelchenko, G. Landolfi, 2022 .

Integrable deformations of affine surfaces via the Nizhnik-Veselov-Novikov equation

U. Pinkall, B. Konopelchenko, 1998 .

SOLITON EIGENFUNCTION EQUATIONS: THE IST INTEGRABILITY AND SOME PROPERTIES

B. Konopelchenko, 1990 .

On rigid string instantons in four dimensions

B. Konopelchenko, G. Landolfi, 1999, hep-th/9901113.

Corrugated Surfaces with Slow Modulation and Quasiclassical Weierstrass Representation

B. Konopelchenko, 2006 .

Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies

L. V. Bogdanov, B. Konopelchenko, 1997, solv-int/9705009.

On the structure and properties of the singularity manifold equations of the KP hierarchy

B. Konopelchenko, W. Strampp, 1991 .

An r-Matrix Approach to Nonstandard Classes of Integrable Equations

Boris Konopelchenko, Walter Oevel, B. Konopelchenko, 1993 .

On blowups of vorticity for the homogeneous Euler equation

B. Konopelchenko, G. Ortenzi, 2023, 2302.08318.

On the fine structure and hierarchy of gradient catastrophes for multidimensional homogeneous Euler equation

B. Konopelchenko, G. Ortenzi, 2022, 2210.03939.

Multidimensional Integrable Systems

B. Konopelchenko, 1992 .

New reductions of the Kadomtsev–Petviashvili and two‐dimensional Toda lattice hierarchies via symmetry constraints

Boris Konopelchenko, Walter Strampp, B. Konopelchenko, 1992 .

On (2+1)-dimensional nonlinear systems of Loewner-type

Boris Konopelchenko, Colin Rogers, C. Rogers, 1991 .

Hamiltonian motions of plane curves and formation of singularities and bubbles

B. Konopelchenko, G. Ortenzi, 2010, 1001.4376.

Gauss - Codazzi equations for generic surfaces: equivalence to the DS linear problem with constraint, linearizability and reductions

B. Konopelchenko, 1997 .

A novel generalization of Clifford's classical point–circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian Kadomtsev–Petviashvili equation

B. Konopelchenko, W. Schief, 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Discrete, q-difference deformations of associative algebras and integrable systems

B. Konopelchenko, 2008 .

CONFORMAL GEOMETRY OF THE (DISCRETE) SCHWARZIAN DAVEY-STEWARTSON II HIERARCHY

B. Konopelchenko, W. Schief, 2003, Glasgow Mathematical Journal.

Nonlinear Transformations and Integrable Evolution Equations

B. Konopelchenko, 1983 .

Inverse spectral transform for the modified Kadomtsev-Petviashvili equation

Boris Konopelchenko, V. Dubrovsky, B. Konopelchenko, 1992 .

On the gauge-invariant description of the evolution equations integrable by Gelfand-Dikij spectral problems

Boris Konopelchenko, B. Konopelchenko, 1982 .

Introduction to Multidimensional Integrable Equations: The Inverse Spectral Transform in 2+1 Dimensions

B. Konopelchenko, 1993 .

Inverse Spectral Transform for the Nonlinear Evolution Equation Generating the Davey-Stewartson and Ishimori Equations

B. Konopelchenko, B. Matkarimov, 1990 .

Inverse spectral transform for the (2 + 1)-dimensional Gardner equation

B. Konopelchenko, 1991 .

Solitons in Multidimensions: Inverse Spectral Transform Method

Boris Konopelchenko, B. Konopelchenko, 1993 .

On the general structure of nonlinear equations integrable by the general linear spectral problem

V. Dubrovsky, B. Konopelchenko, 1983 .

A (2+1)-dimensional sine-Gordon system: its auto-Bäcklund transformation

C. Rogers, B. Konopelchenko, W. Schief, 1992 .

Coisotropic Deformations of Associative Algebras and Dispersionless Integrable Hierarchies

B. Konopelchenko, F. Magri, Franco Magri, 2006, nlin/0606069.

Continuous-discrete integrable equations and Darboux transformations as deformations of associative algebras

B. Konopelchenko, 2009 .

Quantum deformations of associative algebras and integrable systems

B. Konopelchenko, 2008, 0802.3022.

Dispersionless integrable equations as coisotropic deformations: Extensions and reductions

B. Konopelchenko, F. Magri, 2006 .

Lattice and q-difference Darboux-Zakharov-Manakov systems via ∂̄-dressing method

L. V. Bogdanov, B. Konopelchenko, 1995 .

Menelaus' theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy

B. Konopelchenko, W. Schief, 2001, nlin/0105023.

Trapezoidal discrete surfaces: geometry and integrability

B. Konopelchenko, W. Schief, 1999 .

Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies

L. V. Bogdanov, B. Konopelchenko, 1998, solv-int/9806008.

Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy

L. V. Bogdanov, B. Konopelchenko, 1996, solv-int/9609009.

(1+1)-dimensional integrable systems as symmetry constraints of (2+1)-dimensional systems

B. Konopelchenko, W. Strampp, J. Sidorenko, 1991 .

The AKNS hierarchy as symmetry constraint of the KP hierarchy

Boris Konopelchenko, Walter Strampp, B. Konopelchenko, 1991 .

General Nth-order differential spectral problem: General structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance

V. Dubrovsky, B. Konopelchenko, 1984 .

Lattice and q-difference Darboux-Zakharov-Manakov systems via delta -dressing method

L. V. Bogdanov, B. Konopelchenko, 1995, solv-int/9501007.

MENELAUS RELATION, HIROTA–MIWA EQUATION AND FAY'S TRISECANT FORMULA ARE ASSOCIATIVITY EQUATIONS

B. Konopelchenko, 2009, Journal of Nonlinear Mathematical Physics.

On the -problem and integrable equations

B. Konopelchenko, 2001 .

The KP Hierarchy in Miwa Coordinates

B. Konopelchenko, L. Alonso, 1999, solv-int/9905005.

General structure and properties of the integrable nonlinear evolution equations in 1+1 and 2+1 dimensions

B. Konopelchenko, 1988 .

Nonformal recursion operators and nonlinear integrable evolution equations

B. Konopelchenko, M. Boiti, 1986 .

Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy

L. V. Bogdanov, B. Konopelchenko, A. Orlov, 2000, nlin/0011007.

On an integrable multi-dimensionally consistent 2n + 2n-dimensional heavenly-type equation

B. Konopelchenko, W. Schief, 2019, Proceedings of the Royal Society A.

Spectral curves in gauge/string dualities: integrability, singular sectors and regularization

B. Konopelchenko, L. Alonso, E. Medina, 2013, 1301.7082.

Solitons of curvature

B. Konopelchenko, 1995 .

Recursion and group structures of soliton equations

B. Konopelchenko, 1989 .

Ellipticity conditions for the Lax operator of the KP equations

B. Konopelchenko, G. Esposito, 2000, nlin/0004011.

On generalized Loewner systems: Novel integrable equations in 2+1 dimensions

C. Rogers, B. Konopelchenko, 1993 .

The non-Abelian (1 + 1)-dimensional Toda lattice as the periodic fixed point of the Laplace transform for (2 + 1)-dimensional integrable systems

B. Konopelchenko, 1991 .

On generalisation of the Backlund-Calogero transformations for integrable equations

B. Konopelchenko, 1988 .

Bäcklund and Reciprocal Transformations: Gauge Connections

C. Rogers, B. Konopelchenko, 1992 .

On solutions of the shape equation for membranes and strings

B. Konopelchenko, 1997 .

Reductions of (2+1)-dimensional integrable systems via mixed potential-eigenfunction constraints

B. Konopelchenko, W. Strampp, 1992 .

Nonlinear Integrable Equations

Boris Konopelchenko, B. Konopelchenko, 1987 .

Projective differential geometry of multidimensional dispersionless integrable hierarchies

L. V. Bogdanov, B. Konopelchenko, 2013, 1310.0203.

Grassmannians Gr(N − 1, N + 1), closed differential N − 1-forms and N-dimensional integrable systems

L. V. Bogdanov, B. Konopelchenko, 2012, 1208.6129.

On the heavenly equation hierarchy and its reductions

L. V. Bogdanov, B. Konopelchenko, 2005, nlin/0512074.

Quasiclassical generalized Weierstrass representation and dispersionless DS equation

B. Konopelchenko, 2007, 0709.4148.

The group structure of Bäcklund transformations

B. Konopelchenko, 1979 .

Singular sector of the Kadomtsev–Petviashvili hierarchy, ∂̄ operators of nonzero index, and associated integrable systems

B. Konopelchenko, L. Alonso, E. Medina, 2000 .

On nontrivial interactions and complete integrability of soliton equations

B. Konopelchenko, R. Beals, 1991 .

Completely integrable equations: dynamical groups and their nonlinear realisations

B. Konopelchenko, 1979 .

On symmetry of the homogeneous Schwinger-Dyson equations

B. Konopelchenko, 1974 .

Homogeneous Euler equation: blow-ups, gradient catastrophes and singularity of mappings

B. Konopelchenko, G. Ortenzi, 2021, Journal of Physics A: Mathematical and Theoretical.

Gradient catastrophe and flutter in vortex filament dynamics

B. Konopelchenko, G. Ortenzi, G. Ortenzi, 2011, 1105.6051.

On equation of geodesic deviation and its solutions

B. Konopelchenko, V. Dryuma, 1997, solv-int/9705003.

Nonlinear Equations for Soliton Eigenfunctions Are the IST Integrable Equations

B. Konopelchenko, 1990 .

Projective Generalizations of Lelieuvre's Formula

U. Pinkall, B. Konopelchenko, 1998 .

Entropy driven transformations of statistical hypersurfaces

B. Konopelchenko, M. Angelelli, Mario Angelelli, 2019, Reviews in Mathematical Physics.

Critical points, Lauricella functions and Whitham-type equations

B. Konopelchenko, Y. Kodama, W. Schief, 2014, 1411.5856.

Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy

B. Konopelchenko, E. Medina, L. Martínez Alonso, 2002, nlin/0202013.

On the ∂¯-dressing method applicable to heavenly equation

L. V. Bogdanov, B. Konopelchenko, 2005, nlin/0504062.

Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler–Poisson–Darboux equation

B. Konopelchenko, L. Alonso, E. Medina, 2010, 1003.2892.

Coisotropic deformations of algebraic varieties and integrable systems

B. Konopelchenko, G. Ortenzi, 2009 .

Singular sector of the Burgers–Hopf hierarchy and deformations of hyperelliptic curves

B. Konopelchenko, Y. Kodama, 2002, nlin/0205012.

Confluence of hypergeometric functions and integrable hydrodynamic-type systems

B. Konopelchenko, Y. Kodama, 2015, 1510.01540.

Integrable systems for ∂ operators of non-zero index

B. Konopelchenko, L. Alonso, 1997 .

GENERALIZED WEIERSTRASS-ENNEPER INDUCING, CONFORMAL IMMERSIONS, AND GRAVITY

B. Konopelchenko, R. Carroll, 1995, hep-th/9506047.

Soliton curvatures of surfaces and spaces

Boris Konopelchenko, B. Konopelchenko, 1997 .

On the inverse scattering transform for the Ishimori equation

B. Konopelchenko, B. Matkarimov, 1989 .

Confluence of hypergeometric functions and integrable hydrodynamic-type systems

B. Konopelchenko, Y. Kodama, 2016, Theoretical and Mathematical Physics.

ONE-LOOP ANALYSIS OF QCD STRINGS WORLD SHEETS IN ℝ4 THROUGH A WEIERSTRASS-TYPE REPRESENTATION

B. Konopelchenko, G. Landolfi, 2001 .

Jordan form, parabolicity and other features of change of type transition for hydrodynamic type systems

B. Konopelchenko, G. Ortenzi, 2015, 1510.02497.

On the singular sector of the Hermitian random matrix model in the large N limit

B. Konopelchenko, L. Alonso, E. Medina, 2010, 1005.4773.

Integrable quasiclassical deformations of cubic curves

B. Konopelchenko, Y. Kodama, L. Alonso, 2005, nlin/0502047.

Light Propagation in a Cole-Cole Nonlinear Medium via the Burgers-Hopf Equation

B. Konopelchenko, A. Moro, 2004, nlin/0409062.

2 2 N ov 2 00 4 On dispersionless BKP hierarchy and its reductions

L. V. Bogdanov, B. Konopelchenko, 2004 .

Birkhoff Strata of Sato Grassmannian and Algebraic Curves

B. Konopelchenko, G. Ortenzi, 2010, 1005.2053.

Unfolding of singularities and differential equations

B. Konopelchenko, 2011, 1112.2976.

Singular sectors of the one-layer Benney and dispersionless Toda systems and their interrelations

B. Konopelchenko, L. Alonso, E. Medina, 2011, 1105.5931.

On the plane into plane mappings of hydrodynamic type. Parabolic case

B. Konopelchenko, G. Ortenzi, 2019, Reviews in Mathematical Physics.

On the integrable equations and degenerate dispersion laws in multidimensional spaces

B. Konopelchenko, 1983 .

Hierarchies of poisson brackets for elements of the scattering matrices

B. Konopelchenko, 1988 .

On the structure of equations integrable by the arbitrary-order linear spectral problem

B. Konopelchenko, 1981 .

Hamiltonian structure of the general integrable equations under reductions

B. Konopelchenko, 1985 .

Generalized integrable hierarchies and Combescure symmetry transformations

L. V. Bogdanov, B. Konopelchenko, 1996, solv-int/9606007.

Cohomological and Poisson structures and integrable hierarchies in tautological subbundles for Birkhoff strata of the Sato Grassmannian

B. Konopelchenko, G. Ortenzi, 2013, 1306.4571.

Integrable semiclassical deformations of general algebraic curves and associated conservation laws

B. Konopelchenko, L. M. Alonso, Elena Medina, 2007 .

Integrable Deformations of Algebraic Curves

B. Konopelchenko, L. M. Alonso, Yuji Kodama, 2004, nlin/0409063.

Coherent structures for the Ishimori equation. II.: time-dependent boundaries

V. Dubrovsky, B. Konopelchenko, 1992 .

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

B. Konopelchenko, 1983 .

The 2+1 dimensional integrable generalization of the sine-Gordon equation. II. Localized solutions

Boris Konopelchenko, V. Dubrovsky, B. Konopelchenko, 1993 .

Inverse spectral transform for the Ishimori equation: I. Initial value problem

B. Konopelchenko, B. Matkarimov, 1990 .

Paraxial light in a Cole-Cole nonlocal medium: integrable regimes and singularities

Boris Konopelchenko, Antonio Moro, B. Konopelchenko, 2005, SPIE Optics + Optoelectronics.