Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation-Reference-Cited by-同舟云学术

Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation

Published:2010-10-27 Issue:2 Volume:28 Page:641-669
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Lakoba T.I.

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference12 articles.

1. Applications of the split-step Fourier method to the numerical soltion of nonlinear and variable coefficient wave equations;Hardin;SIAM Review (Chronicle),1973

2. Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion;Hasegawa;Appl Phys Lett,1973

3. The role of linear dispersion in plane-wave self-phase modulation;Fisher;Appl Phys Lett,1973

4. Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, Nonlinear Schrodinger equation;Taha;J Comput Phys,1984

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. STABILITY OF THE HIGHER-ORDER SPLITTING METHODS FOR THE NONLINEAR SCHRÖDINGER EQUATION WITH AN ARBITRARY DISPERSION OPERATOR;Mathematical Modelling and Analysis;2024-06-27

2. Spurious Four-Wave Mixing Processes in Generalized Nonlinear Schrödinger Equations;Journal of Lightwave Technology;2023-08-15

3. Spatiotemporal Soliton Interaction of Saturable Nonlinear Schrödinger Equations in Spatial Dimensions Higher Than 1;Acta Mathematica Vietnamica;2023-02-10

4. Subdiffusion in wave packets with periodically kicked interactions;Physical Review A;2022-03-15

5. Solving nonlinear Schrödinger equation by a new and fast method;Physica Scripta;2021-10-26