Generalized Darboux transformation and rational soliton solutions for Chen-Lee-Liu equation

DOI10.1016/j.amc.2014.06.048zbMath1334.35327OpenAlexW2087116619MaRDI QIDQ279658

Sheng-Bing Pei, Hai-Qiang Zhang, Bo Yang, Wei-Guo Zhang

Publication date: 28 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.06.048

zbMATH Keywords

Chen-Lee-Liu equationgeneralized Darboux transformationhigher-order rational solution

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

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Cites Work

• Unnamed Item
• Unnamed Item
• Rational solutions of the general nonlinear Schrödinger equation with derivative
• New factorization of the Kaup-Newell hierarchy
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
• Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure
• A hierarchy of nonlinear evolution equations, its bi-Hamiltonian structure, and finite-dimensional integrable systems
• Soliton Solutions of the Derivative Nonlinear Schrödinger Equation
• The rogue wave and breather solution of the Gerdjikov-Ivanov equation
• The Darboux transformation of the derivative nonlinear Schrödinger equation
• Exact solutions of the multidimensional derivative nonlinear Schrodinger equation for many-body systems of criticality
• An exact solution for a derivative nonlinear Schrödinger equation
• The hierarchy of multi-soliton solutions of the derivative nonlinear Schr dinger equation
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Generalization of the Kaup-Newell Inverse Scattering Formulation and Darboux Transformation
• Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
• N -Soliton Solutions of General Nonlinear Schrödinger Equation with Derivative
• Generalized Darboux transformation and rogue wave solutions for the higher-order dispersive nonlinear Schrödinger equation

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