CONSTRUCTING 2N-SOLITON PERIODIC WAVE SOLUTIONS FOR GENERALIZED DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION

DOI10.1142/S0129183110015737zbMath1215.37049MaRDI QIDQ3062781

Shou-Fu Tian, Hong-Qing Zhang

Publication date: 28 December 2010

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

periodic wave solutiongeneralized derivative nonlinear Schrödinger equation\(N\)-fold Darboux transformations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Darboux transformations for a Lax integrable system in \(2n\) dimensions
• Rational solutions of the general nonlinear Schrödinger equation with derivative
• A second Wronskian formulation of the Boussinesq equation
• Direct search for exact solutions to the nonlinear Schrödinger equation
• Exact solution to higher-order nonlinear equations through gauge transformation
• Complexiton solutions to the Korteweg-de Vries equation
• Explicit \(N\)-fold Darboux transformation and multi-soliton solutions for the \((1 + 1)\)-dimensional higher-order Broer-Kaup system
• Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• An exact solution for a derivative nonlinear Schrödinger equation
• Bilinearization of a Generalized Derivative Nonlinear Schrödinger Equation
• Bäcklund transformation and its superposition principle of a Blaszak–Marciniak four-field lattice
• Formal variable separation approach for nonintegrable models
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
• On inverse recursion operator and tri-Hamiltonian formulation for a Kaup-Newell system of DNLS equations
• Exact envelope-soliton solutions of a nonlinear wave equation

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