An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation

DOI10.1063/1.3301040zbMath1309.35146OpenAlexW2035361340MaRDI QIDQ5246617

Tao Xu, Bo Tian

Publication date: 21 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3301040

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Diffraction, scattering (78A45) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of solids (82D20) Soliton solutions (35C08)

Related Items (12)

Multi-component Wronskian solution to the Kadomtsev-Petviashvili equation ⋮ Darboux transformation and soliton solutions in the parity-time-symmetric nonlocal vector nonlinear Schrödinger equation ⋮ Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system ⋮ Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water ⋮ Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water ⋮ Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids ⋮ Triple Wronskian vector solitons and rogue waves for the coupled nonlinear Schrödinger equations in the inhomogeneous plasma ⋮ New Double Wronskian Solutions of the Whitham-Broer-Kaup System: Asymptotic Analysis and Resonant Soliton Interactions ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids ⋮ Bell-polynomial approach and N-soliton solution for the extended Lotka–Volterra equation in plasmas

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