Spurious solitons and structural stability of finite difference schemes for nonlinear wave equations
نویسندگان
چکیده
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.
منابع مشابه
Structural stability of finite dispersion-relation preserving schemes
The goal of this work is to determine classes of travelling solitary wave solutions for a differential approximation of a finite difference scheme by means of a hyperbolic ansatz. It is shown that spurious solitary waves can occur in finite-difference solutions of nonlinear wave equation. The occurance of such a spurious solitary wave, which exhibits a very long life time, results in a nonvanis...
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