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

2006/07/26 by David, Claire, Sagaut, Pierre
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0607654

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.

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