Exact localized solutions of quintic discrete nonlinear Schrödinger equation

DOI10.1016/S0375-9601(03)00499-7zbMath1019.35067arXivnlin/0211025MaRDI QIDQ1872085

Nalini Joshi, Yasuhiro Ohta, Ken-Ichi Maruno

Publication date: 4 May 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0211025

zbMATH Keywords

singularity confinement criteriasymmetric mapping integrability

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items (8)

Solitary wave and periodic wave solutions for the quintic discrete nonlinear Schrödinger equation ⋮ Applications of Extended Hyperbolic Function Method for Quintic Discrete Nonlinear Schrödinger Equation ⋮ The modified rational Jacobi elliptic functions method for nonlinear differential difference equations ⋮ Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation ⋮ Analytic doubly periodic wave patterns for the integrable discrete nonlinear Schrödinger (Ablowitz-Ladik) model ⋮ Doubly periodic wave solutions and soliton solutions of Ablowitz-Ladik lattice system ⋮ Bilinear, trilinear forms, and exact solution of certain fourth order integrable difference equations ⋮ Higher dimensional integrable mappings derived from coupled discrete nonlinear Schrödinger equations

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