Multiple-soliton solutions and a generalized double Wronskian determinant to the \((2+1)\)-dimensional nonlinear Schrödinger equations

DOI10.1186/s13662-017-1235-xzbMath1422.37053OpenAlexW2709065465WikidataQ59525084 ScholiaQ59525084MaRDI QIDQ1631113

Liu Gao, Li Cheng

Publication date: 5 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1235-x

zbMATH Keywords

nonlinear Schrödinger equationmultiple-soliton solutionsdouble Wronskian determinant

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Unnamed Item
• Unnamed Item
• Symplectic and multi-symplectic wavelet collocation methods for two-dimensional Schrödinger equations
• Localized solitons of a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation
• Complexiton solutions to integrable equations
• A second Wronskian formulation of the Boussinesq equation
• Complexiton solutions to the Korteweg-de Vries equation
• Rational solutions of the Toda lattice equation in Casoratian form
• New double Wronskian solutions of the AKNS equation
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
• Dynamics of rogue waves in the Davey–Stewartson II equation
• Generalized dromions of the (2+1)-dimensional nonlinear Schrödinger equations

This page was built for publication: Multiple-soliton solutions and a generalized double Wronskian determinant to the \((2+1)\)-dimensional nonlinear Schrödinger equations