Instability of the finite-difference split-step method applied to the generalized nonlinear Schrödinger equation. III. external potential and oscillating pulse solutions-Reference-Cited by-同舟云学术

Instability of the finite-difference split-step method applied to the generalized nonlinear Schrödinger equation. III. external potential and oscillating pulse solutions

Published:2016-05-18 Issue:3 Volume:33 Page:633-650
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Lakoba Taras I.¹

Affiliation:

1. Department of Mathematics and Statistics; University of Vermont; Burlington Vermont 05401

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference11 articles.

1. Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. Part I: Standing soliton;Lakoba;Numer Methods Partial Differential Equations

2. Instability of the finite-difference split-step method applied to the nonlinear Schrödinger equation. Part II: Moving soliton;Lakoba;Numer Methods Partial Differential Equations

3. Split-step methods for the solution of the nonlinear Schrödinger equation;Weideman;SIAM J. Numer. Anal.,1986

4. Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation;Lakoba;Num. Meth. Part. Diff. Eqs.,2012

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