Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation

DOI10.1007/s11071-019-05354-2zbMath1459.35343OpenAlexW2989310572MaRDI QIDQ2023095

Yanyan Li

Publication date: 3 May 2021

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-05354-2

zbMATH Keywords

solitonDarboux transformationLax pairPT symmetrynonlocal nonlinear equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (3)

Explicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchy ⋮ Bifurcation and new exact traveling wave solutions to time-space coupled fractional nonlinear Schrödinger equation ⋮ Soliton solutions for two kinds of fourth-order nonlinear nonlocal Schrödinger equations

Cites Work

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• Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
• Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials
• Integrable Nonlocal Nonlinear Equations

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