Odd-soliton solutions and inelastic interaction for the differential-difference nonlinear Schrödinger equation in nonlinear optics

DOI10.1016/j.amc.2014.07.027zbMath1335.81071OpenAlexW2014934661WikidataQ115361443 ScholiaQ115361443MaRDI QIDQ278413

Xiao-Yong Wen, Deng-Shan Wang

Publication date: 2 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.027

zbMATH Keywords

conservation laws\(N\)-fold Darboux transformationinelastic interactionodd-soliton solutionsthe differential-difference nonlinear Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12)

Related Items (2)

Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation ⋮ Note on same result of different ansätz based on extended tanh-function method for nonlinear models

Cites Work

• \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water
• Integrability aspects and soliton solutions for an inhomogeneous nonlinear system with symbolic computation
• The management and containment of self-similar rogue waves in the inhomogeneous nonlinear Schrödinger equation
• On the gauge equivalent structure of the discrete nonlinear Schrödinger equation
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• Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions
• Nonlinear differential–difference equations and Fourier analysis
• A Nonlinear Difference Scheme and Inverse Scattering
• Nonlinear Evolution Equations—Continuous and Discrete
• Randomly modulated dark soliton
• N-SOLITON SOLUTIONS AND CONSERVATION LAWS OF THE MODIFIED TODA LATTICE EQUATION

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