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

Claire David·Pierre Sagaut
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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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Claire David, Pierre Sagaut. 2006-07-26. Spurious solitons and structural stability of finite difference schemes for nonlinear wave equations. https://arxiv.org/abs/math/0607654

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