Variational solutions for the discrete nonlinear Schrödinger equation

DOI10.1016/J.MATCOM.2005.01.015zbMath1073.65100OpenAlexW2136221218MaRDI QIDQ2486242

D. J. Kaup

Publication date: 5 August 2005

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2005.01.015

zbMATH Keywords

evolution equationspitchfork bifurcationnonlinear waveguideDiscrete nonlinear Schrödinger equationdiscrete soliton solutionsOptical pulsesVariational solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Antennas, waveguides in optics and electromagnetic theory (78A50) Soliton equations (35Q51) Variational methods applied to problems in optics and electromagnetic theory (78M30)

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Cites Work

• The variational principle for nonlinear waves in dissipative systems
• Soliton dynamics in the discrete nonlinear Schrödinger equation
• Nonlinear differential−difference equations
• Unnamed Item

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