Traveling wave solutions for Schrödinger equation with distributed delay

DOI10.1016/j.apm.2010.07.025zbMath1205.35298OpenAlexW2012189950MaRDI QIDQ622900

Zhihong Zhao, Weigao Ge

Publication date: 13 February 2011

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2010.07.025

zbMATH Keywords

traveling wavesgeometric singular perturbation theorydifferential manifold theorynonlinear Schrödinger equation with distributed delayregular perturbation analysis for a Hamiltonian system

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (7)

The solitary wave, kink and anti-kink solutions coexist at the same speed in a perturbed nonlinear Schrödinger equation ⋮ On the stable difference schemes for the Schrödinger equation with time delay ⋮ Existence of traveling wave fronts for a generalized nonlinear Schrödinger equation ⋮ ON KINK AND ANTI-KINK WAVE SOLUTIONS OF SCHRÖDINGER EQUATION WITH DISTRIBUTED DELAY ⋮ A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation ⋮ On the Stability of Schrödinger Type Involutory Differential Equations ⋮ On the stability of the Schrödinger equation with time delay

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