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

Claire David (1) , Pierre Sagaut (1)

1 LMM - Laboratoire de modélisation en mécanique

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.

Mots clés: Solitary waves; differential approximation; a finite difference scheme

Domaines: Equations aux dérivées partielles [math.AP]

Claire David, Pierre Sagaut. Spurious solitons and structural stability of finite difference schemes for nonlinear wave equations. 2006. ⟨hal-00087613⟩