Article
Ufa Mathematical Journal
Volume 4, Number 2, pp. 80-86
Phase shift for the common solution of KdV and fifth order differential equation
Garifullin R.N.
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We investigate the special solution of Korteweg–de Vries equation. This solution describe the influence of small dispersion to a process of transformation from weak to strong discontinuities in inviscid fluid dynamics. This solution also satisfy to fifth order ordinary differential equation. We construct the asymptotic solution in Witham zone up to phase shift. We obtain a equation for phase shift and, using the numerical experiments, we choose the concrete solution of this equation. This solution is a constant function.