New second- and fourth-order accurate numerical schemes for the nonlinear cubic Schrödinger equation

DOI10.1080/00207160701546668zbMath1127.65071OpenAlexW2093960185MaRDI QIDQ5428709

Y. M. Samrout

Publication date: 26 November 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701546668

zbMATH Keywords

stabilitynumerical examplesfinite difference approximationsnonlinear Schrödinger equationmethod of linesLanczos' tau methodbound states of solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

A modified numerical scheme for the cubic Schrödinger equation ⋮ Periodic and solitary waves in systems of coherently coupled nonlinear envelope equations ⋮ A conservative exponential time differencing method for the nonlinear cubic Schrödinger equation ⋮ A new second-order accurate time discretization method for the nonlinear cubic Schrödinger equation

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