Symbolic computation, Bäcklund transformation and analytic \(N\)-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas

DOI10.1016/J.JMAA.2009.02.040zbMath1172.35074OpenAlexW2094749604MaRDI QIDQ1023011

Xing Lü, Hong-Wu Zhu, Xiang-Hua Meng, Zhen-Zhi Yao, Bo Tian, Cheng Zhang

Publication date: 10 June 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.02.040

zbMATH Keywords

symbolic computationsoliton solutionbilinear Bäcklund transformationdouble Wronskian solutionnonlinear Schrödinger equation with nonuniformity term

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Statistical mechanics of plasmas (82D10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05)

Related Items (1)

Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model

Cites Work

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• Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation
• Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation
• A Bäcklund Transformation for a Higher Order Korteweg-De Vries Equation
• Analytic Multi-Solitonic Solutions of Variable-Coefficient Higher-Order Nonlinear Schrödinger Models by Modified Bilinear Method with Symbolic Computation
• The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form
• Integrable properties of a variable-coefficient Korteweg–de Vries model from Bose–Einstein condensates and fluid dynamics
• Wronskian and Grammian Determinant Solutions for a Variable-Coefficient Kadomtsev–Petviashvili Equation

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