Explicit \(N\)-fold Darboux transformation and multi-soliton solutions for the \((1 + 1)\)-dimensional higher-order Broer-Kaup system

DOI10.1016/j.chaos.2006.03.015zbMath1129.35449OpenAlexW2017381372MaRDI QIDQ2468247

Hong-Qing Zhang, Ding-jiang Huang, De-Sheng Li

Publication date: 30 January 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.03.015

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (13)

Vadermonde-Type Odd-Soliton Solutions for the Whitham–Broer–Kaup Model in the Shallow Water Small-Amplitude Regime ⋮ The elastic-fusion-coupled interaction for the Boussinesq equation and new soliton solutions of the KP equation ⋮ \(N\)-fold Darboux transformation and multi-soliton solutions for the classical Boussinesq-Burgers system ⋮ Analytic approximations for the one-loop soliton solution of the Vakhnenko equation ⋮ Darboux transformation and multi-soliton solutions for some soliton equations ⋮ Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves ⋮ Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system ⋮ \(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system ⋮ \(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves ⋮ Darboux transformation and explicit solutions for two integrable equations ⋮ \(N\)-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation ⋮ Darboux transformation and bidirectional soliton solutions of a new (2+1)-dimensional soliton equation ⋮ CONSTRUCTING 2N-SOLITON PERIODIC WAVE SOLUTIONS FOR GENERALIZED DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION

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• Solving Kadomtsev–Petviashvili Equation via a New Decomposition and Darboux Transformation
• Approximate equations for long water waves
• Vandermonde-like determinants and N-fold Darboux/Bäcklund transformations
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• The reductions of the Darboux transformation and some solutions of the soliton equations
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
• Darboux transformation and solutions for an equation in 2+1 dimensions

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