Split-step-Gauss-Hermite algorithm for fast and accurate simulation of soliton propagation

DOI10.1002/jnm.415zbMath0993.65099OpenAlexW2092735613MaRDI QIDQ2748595

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Publication date: 26 September 2002

Published in: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jnm.415

zbMATH Keywords

comparison of methodsnonlinear Schrödinger equationsoliton propagationsplit-step-Fourier methodsplit-step-Gauss-Hermite algorithm

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

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Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States