Discrete nonlinear Schrödinger equations free of the Peierls-Nabarro potential

DOI10.1016/j.physleta.2006.03.056zbMath1160.35535arXivnlin/0603047OpenAlexW2058612159MaRDI QIDQ1017305

Sergey V. Dmitriev, Panayotis G. Kevrekidis, Nobuhiro Yoshikawa, Shozo Takeno, Andrey A. Sukhorukov

Publication date: 18 May 2009

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

Full work available at URL: https://arxiv.org/abs/nlin/0603047

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

• Unnamed Item
• On a class of discretizations of Hamiltonian nonlinear partial differential equations
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• Exact solutions of the saturable discrete nonlinear Schrödinger equation
• Topological discrete kinks
• Kink dynamics in a novel discrete sine-Gordon system
• Travelling kinks in discrete phi⁴models
• Discrete Klein–Gordon models with static kinks free of the Peierls–Nabarro potential