English

Spurious solitons and structural stability of finite difference schemes for nonlinear wave equations

Analysis of PDEs 2007-05-23 v1

Abstract

The goal of this work is to determine classes of traveling Solitary wave solutions for a differential approximation of a finite difference scheme by means of a hyperbolic ansatz.

Keywords

Cite

@article{arxiv.math/0607654,
  title  = {Spurious solitons and structural stability of finite difference schemes for nonlinear wave equations},
  author = {Claire David and Pierre Sagaut},
  journal= {arXiv preprint arXiv:math/0607654},
  year   = {2007}
}