Analysis for a two-step dispersion scheme for coupled nonlinear Schrödinger equations

DOI10.1016/J.AML.2010.03.002zbMath1191.65133OpenAlexW2058722386MaRDI QIDQ975272

Arun Kumar

Publication date: 9 June 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.03.002

zbMATH Keywords

stabilitynumerical exampleselectromagnetic wavescoupled nonlinear Schrödinger equationsmodulation instability

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

• Optical solitons due to quadratic nonlinearities: From basic physics to futuristic applications
• A paraxial model for optical self-focussing in a nematic liquid crystal
• Note on a modification to the nonlinear Schrödinger equation for application to deep water waves

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