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

DOI10.1002/NUM.22039zbMath1339.65127OpenAlexW2300707756WikidataQ115398103 ScholiaQ115398103MaRDI QIDQ2808874

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.22039

zbMATH Keywords

numerical examplesnonlinear Schrödinger equationoperator splittingnumerical instabilitysolitonfinite differencenonlinear evolution equations

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 (3)

Stability analysis of the numerical method of characteristics applied to a class of energy-preserving hyperbolic systems. II: Nonreflecting boundary conditions ⋮ Study of instability of the Fourier split-step method for the massive Gross-Neveu model ⋮ Instability of the finite‐difference split‐step method applied to the generalized nonlinear Schrödinger equation. III. external potential and oscillating pulse solutions

Cites Work

• Surprising computations
• Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation
• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation

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