On simultaneous solution of the KdV equation and a fifth-order differential equation
DOI:
https://doi.org/10.13108/2016-8-4-52Keywords:
asymptotics, matching of asymptotic expansions, Korteweg–de Vries equation, non-dissipative shock waves.Abstract
In the paper we consider an universal solution to the KdV equation. This solution also satisfies a fifth order ordinary differential equation. We pose the problem on studying the behavior of this solution as t\to\infty. For large time, the asymptotic solution has different structure depending on the slow variable s=x^2/t. We construct the asymptotic solution in the domains s<-3/4, $-3/4Downloads
Published
20.12.2016
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