Bäcklund transformation and conservation laws for the variable-coefficient \(N\)-coupled nonlinear Schrödinger equations with symbolic computation

DOI10.1007/s10114-011-0531-8zbMath1291.35359OpenAlexW2395515719MaRDI QIDQ353581

Xiang-Hua Meng, Tao Xu, Bo Tian, Hai-Qiang Zhang

Publication date: 16 July 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-0531-8

zbMATH Keywords

conservation lawssymbolic computationBäcklund transformationsolitonic solutionvariable-coefficient \(N\)-coupled nonlinear Schrödinger equations

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Wronskian and Grammian determinant structure solutions for a variable-coefficient forced Kadomtsev-Petviashvili equation in fluid dynamics

Cites Work

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• Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Lax pairs of time-dependent Gross–Pitaevskii equation
• Bright solitons on a continuous wave background for the inhomogeneous nonlinear Schrödinger equation in plasma
• Integrals of nonlinear equations of evolution and solitary waves

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