zbMath0836.35002MaRDI QIDQ4304304
B. G. Konopelchenko
Publication date: 11 September 1994
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Numerical study of Davey–Stewartson I systems ⋮
Bi-Dbar-approach for a coupled shifted nonlocal dispersionless system ⋮
Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach ⋮
Two-dimensional reductions of the Whitham modulation system for the Kadomtsev–Petviashvili equation ⋮
Higher-order soliton solutions for the Sasa-Satsuma equation revisited via \(\bar{\partial }\) method ⋮
Integrable generalization of the modified Camassa-Holm equation in \(2 + 1\) dimensions ⋮
Remarks on the solutions of the Kadomtsev-Petviashvili equation ⋮
The spectral problem and particular solutions to the \((2+1)\)-dimensional integrable generalization of the Camassa-Holm equation ⋮
The construction of exact solutions of two-dimensional integrable generalizations of Kaup-Kuperschmidt and Sawada-Kotera equations via \(\overline \partial\)-dressing method ⋮
Breather-type multi-solitary waves to the Kadomtsev-Petviashvili equation with positive dispersion ⋮
Inverse spectral transform for the Harry Dym equation on the complex plane ⋮
Explicit solutions of the Bogoyavlensky-Konoplechenko equation ⋮
New localized coherent structures to the \((2+1)\)-dimensional breaking soliton equation ⋮
On the dressing method in multidimension ⋮
Non-commutative Hermite-Padé approximation and integrability ⋮
General Lax-representation of a new higher-dimensional system: the current-fed membrane ⋮
Engineering magnetic polariton system with distributed coefficients: applications to soliton management ⋮
On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in wave propagation ⋮
The ∂̄-dressing method for the (2+1)-dimensional Jimbo-Miwa equation ⋮
The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Konopelchenko-Dubrovsky equation ⋮
Scheme of constructing soliton-type solutions of the \((2+1)\)-dimensional Harry Dym equation ⋮
Exact singular and non-singular solitary-wave solutions for Kadomtsev-Petviashvili equation with \(p\)-power of nonlinearity ⋮
On canonical coordinates in soliton hierarchies ⋮
Geometrical properties of the multidimensional nonlinear differential equations and the Finsler metrics of phase spaces of dynamical systems ⋮
The Harry Dym equation on the complex plane: Inverse spectral transform and exact solutions ⋮
Dual \(\overline\partial\)-problem, \((2+1)\)-dimensional integrable nonlinear evolution equations and their reductions ⋮
On integration of a multidimensional version of n-wave type equation ⋮
Positon-like solutions of nonlinear evolution equations in (2+1) dimensions ⋮
Application of the \(\bar\partial \)-dressing method to a \((2+1)\)-dimensional equation ⋮
New exact periodic solitary wave solutions for Kadomtsev-Petviashvili equation ⋮
The non-isospectral modified Kadomtsev-Petviashvili equation with self-consistent sources and its coupled system ⋮
Exact solutions for some nonlinear partial differential equations ⋮
Exact solutions to a generalized Bogoyavlensky-Konopelchenko equation via Maple symbolic computations ⋮
Extended KP equation and solutions with special properties ⋮
General M-lump, high-order breather, and localized interaction solutions to \((2+1)\)-dimensional generalized Bogoyavlensky-Konopelchenko equation ⋮
Non-isospectral scattering problems: Painlevé truncation for hierarchies ⋮
Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation ⋮
Lax Triad Approach to Symmetries of Scalar Modified Kadomtsev–Petviashvili Hierarchy ⋮
Nonlinear Dynamics on the Plane and Integrable Hierarchies of Infinitesimal Deformations ⋮
New positon, negaton and complexiton solutions for the Bogoyavlensky-Konoplechenko equation ⋮
A useful auxiliary linear system for a Davey-Stewartson hierarchy ⋮
Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation ⋮
Integrable systems for \(\overline\partial\) operators of non-zero index ⋮
Linear theories, hidden variables and integrable nonlinear equations. ⋮
Auto-Bäcklund transformation and two families of analytical solutions to the \((2+1)\)-dimensional soliton breaking equation. ⋮
New kink multi-soliton solutions for the \((3+1)\)-dimensional potential-Yu-Toda-Sasa-Fukuyama equation ⋮
Solutions of the Davey-Stewartson II equation with arbitrary rational localization and nontrivial interaction ⋮
A \((2+1)\)-dimensional integrable spin model: geometrical and gauge equivalent counterpart, solitons and localized coherent structures. ⋮
Multidimensional quadrilateral lattices are integrable. ⋮
The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates ⋮
On canonical variables in integrable models of magnets ⋮
New solutions to the differential-difference KP equation ⋮
Decomposition of a \(2 + 1\)-dimensional Volterra type lattice and its quasi-periodic solutions ⋮
Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations ⋮
On the \(\overline{\delta}\)-dressing method applicable to heavenly equation ⋮
Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation ⋮
Solutions with functional parameters of \(2+1\)-dimensional integrable nonlinear equations. Two dimensional integrable generalization of the Kaup-Kupershmidt equation ⋮
The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations ⋮
Whitham modulation theory for the Kadomtsev– Petviashvili equation ⋮
Constructing rogue wave prototypes of nonlinear evolution equations via an extended tanh method ⋮
Multidimensional linearizable system of \(n\)-wave-type equations ⋮
Breather wave solutions and interaction solutions for two mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Bonopelchenko equations ⋮
Pseudo-spectral Fourier method as applied to finding localized spherical soliton solutions of \((3 + 1)\)-dimensional Klein-Gordon equations ⋮
Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation ⋮
A note on modified Veselov-Novikov hierarchy ⋮
Two \((2+1)\)-dimensional soliton equations and their quasi-periodic solutions ⋮
Exact three-wave solutions for the KP equation ⋮
The non-isospectral and variable-coefficient KP equation with self-consistent sources and new coupled system ⋮
A three-wave interaction model with self-consistent sources: the \(\overline{\partial}\)-dressing method and solutions ⋮
Explicit solutions of the \(2+1\)-dimensional breaking soliton equation ⋮
Exponentially localized solutions of Mel'nikov equation ⋮
Trilinearization and localized coherent structures and periodic solutions for the \((2 + 1)\) dimensional K-dV and NNV equations ⋮
Links between some \((2 + 1)\)-dimensional nonlinear evolution equations and Painlevé-II equations ⋮
New exact solutions with functional parameters of the Nizhnik-Veselov-Novikov equation with constant asymptotic values at infinity ⋮
Applications of HTA and EHTA to YTSF equation ⋮
Similarity solutions and conservation laws for the Bogoyavlensky-Konopelchenko equation by Lie point symmetries ⋮
On the non-isospectral Kadomtsev-Petviashvili equation with self-consistent sources ⋮
New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada-Kotera model ⋮
Localized coherent structures of Ishimori equation I through Hirota's bilinearization method: Time dependent/stationary boundaries ⋮
New lumps of Veselov-Novikov integrable nonlinear equation and new exact rational potentials of two-dimensional stationary Schrödinger equation via \(\bar \partial\)-dressing method ⋮
Forced (2 + 1)-dimensional discrete three-wave equation ⋮
Lump Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations* ⋮
On the \(\bar\partial \)-problem and dressing method for the complex vector modified KdV equation ⋮
A new multi-component integrable coupling and its application to isospectral and nonisospectral problems ⋮ [
https://portal.mardi4nfdi.de/wiki/Publication:5230893 Hyperelliptic function solutions with finite genus ������ of coupled nonlinear differential equations*] ⋮
Some generalizations of the two-dimensional Toda chain and sinh-Gordon equations ⋮
Geometry and multidimensional soliton equations ⋮
Towards an inverse scattering theory for two-dimensional nondecaying potentials ⋮
Beyond travelling waves: A new algorithm for solving nonlinear evolution equations ⋮
Gauge-invariant description of several \((2+1)\)-dimensional integrable nonlinear evolution equations ⋮
Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method ⋮
Two-dimensional stationary Schrödinger equation via the ∂¯-dressing method: New exactly solvable potentials, wave functions, and their physical interpretation ⋮
Theory of multidimensional Delsarte-Lions transmutation operators. I ⋮
New soliton-like and periodic-like solutions for the KdV equation ⋮
From nonlinear Schrödinger hierarchy to some (2+1)-dimensional nonlinear pseudodifferential equations ⋮
Integrability, exact reductions and special solutions of the KP–Whitham equations ⋮
Lie Symmetries, Kac-Moody-Virasoro Algebras and Integrability of Certain (2+1)-Dimensional Nonlinear Evolution Equations ⋮
Explode-Decay Dromions in the Non-Isospectral Davey-Stewartson I (DSI) Equation ⋮
New solutions of two-dimensional integrable sine-Gordon equation generated by nontrivial singular boundaries ⋮
On the extended applications of homogeneous balance method ⋮
Quasi-periodic solutions for some \(2+1\)-dimensional discrete models ⋮
Integrability with symbolic computation on the Bogoyavlensky-Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution ⋮
Systematic method of generating new integrable systems via inverse Miura maps ⋮
Cusp solitons to the long-short waves equation and the \(\bar{\partial}\)-dressing method ⋮
Group analysis and nonlinear self-adjointness for a generalized breaking soliton equation ⋮
Multidimensional localized solitons. ⋮
Modified Kadomtsev-Petviashvili (MKP) equation and electromagnetic soliton ⋮
Soliton with non-constant velocity ⋮
Non-autonomous multidimensional Toda system and multiple interpolation problem
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