Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. I. standing soliton

DOI10.1002/num.22040zbMath1339.65126OpenAlexW4229505861WikidataQ115398098 ScholiaQ115398098MaRDI QIDQ2808873

T. I. Lakoba

Publication date: 25 May 2016

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22040

zbMATH Keywords

numerical examplessolitary wavenonlinear Schrödinger equationoperator splittingnumerical instabilitysolitonfinite difference discretizationnonlinear evolution equationssplit-step method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items

Long-time simulations of nonlinear Schrödinger-type equations using step size exceeding threshold of numerical instability, Instability of the finite‐difference split‐step method applied to the generalized nonlinear Schrödinger equation. III. external potential and oscillating pulse solutions

Uses Software

• Matlab

Cites Work

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