N-fold Darboux transformations and soliton solutions of three nonlinear equations

DOI10.1063/1.4739757zbMath1304.37051OpenAlexW2030838530MaRDI QIDQ2872259

Fan-Fan Wang, Ai-Hua Chen

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4739757

zbMATH Keywords

modified Korteweg-de Vries equation\(N\)-fold Darboux transformationscoupled integrable dispersionless equationgeneralized coupled modified Korteweg-de Vries equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

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Cites Work

• Soliton solutions of the coupled dispersionless equation
• Solitary wave solutions to the generalized coupled mKdV equation with multi-component
• Determinant representation of Darboux transformation for the AKNS system
• Darboux transformation and multi-soliton solutions of Boussinesq-Burgers equation
• The reduction problem and the inverse scattering method
• On the propagation of nonlinear solitary waves in a distributed Schottky barrier diode transmission line
• Bäcklund transformation and soliton solutions for the coupled dispersionless equations
• Complexitons of the modified KdV equation by Darboux transformation
• A new approach to the Darboux–Bäcklund transformation versus the standard dressing method
• Algebraic construction of the Darboux matrix revisited
• An effective method to compute N-fold Darboux matrix and N-soliton surfaces
• Negaton and positon solutions of the KdV and mKdV hierarchy
• Dressing procedure for solutions of non-linear equations and the method of operator identities
• Darboux transformations for the nonlinear Schrödinger equations
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
• On Equations Gauge Equivalent to the Sine-Gordon and Pohlmeyer-Lund-Regge Equations
• An algebraic method to construct the Darboux matrix
• Darboux transformations for a generalized Dirac equation in two dimensions

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