Classical Darboux transformations and the KP hierarchy

From MaRDI portal
Publication:2747545

DOI10.1088/0266-5611/17/4/333zbMath0986.35096OpenAlexW2124845799MaRDI QIDQ2747545

Franklin Lambert, Ignace Loris, Johan Springael

Publication date: 14 October 2001

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/17/4/333




Related Items (32)

A Direct procedure on the Integrability of Nonisospectral and Variable-Coefficient MKdV EquationBell polynomials approach for two higher-order KdV-type equations in fluidsNew Bilinear Bäcklund Transformation and Lax Pair for the Supersymmetric Two-Boson EquationBilinear Bäcklund transformations and explicit solutions of a \((3+1)\)-dimensional nonlinear equationBäcklund transformation and solutions of a \((3+1)\)-dimensional nonlinear evolution equationOn bilinear representations and infinite conservation laws of a nonlinear variable-coefficient equationNecessary covariance conditions for a one-field Lax pair\textit{PDEBellII}: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equationsSoliton solution of some nonlinear PDEs and its applicationsOn quasiperiodic wave solutions and integrability to a generalized \((2+1)\)-dimensional Korteweg-de Vries equationBäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubblesBell polynomial approach to associated Camassa-Holm equationAn integrable hierarchy and Darboux transformations, bilinear Bäcklund transformations of a reduced equationThe solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equationIntegrability of a (2+1)-dimensional generalized breaking soliton equationDarboux transformations of new supersymmetric CKP and BKP hierarchiesLie symmetry analysis and different types of solutions to a generalized bidirectional sixth-order Sawada-Kotera equationThe integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomialsNew exact solutions and Bäcklund transformation for Boiti-Leon-Manna-Pempinelli equationBäcklund transformation and quasi-periodic solutions for a variable-coefficient integrable equationDiscussion on integrable properties for higher-dimensional variable-coefficient nonlinear partial differential equationsBell Polynomials to the Kadomtsev-Petviashivili Equation with Self-Consistent SourcesSolitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff EquationSoliton Interactions for the Three‐Coupled Discrete Nonlinear Schrödinger Equations in the Alpha Helical ProteinsOn the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in FluidsNew bilinearization, Bäcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomialsOn periodic wave solutions with asymptotic behaviors to a \((3+1)\)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamicsBäcklund transformations and solutions of some generalized nonlinear evolution equationsIntegrable generalization of the associated Camassa-Holm equationCharacteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equationSuper extension of Bell polynomials with applications to supersymmetric equationsDarboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation




This page was built for publication: Classical Darboux transformations and the KP hierarchy