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arXiv · 1407.0598

Asymptotics in shallow water waves

Bob McOwen·Peter Topalov
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Abstract

In this paper we consider the initial value problem for a family of shallow water equations on the line $\R$ with various asymptotic conditions at infinity. In particular we construct solutions with prescribed asymptotic expansion as $x\to\pm\infty$ and prove their invariance with respect to the solution map.

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Bob McOwen, Peter Topalov. 2014-07-02. Asymptotics in shallow water waves. https://arxiv.org/abs/1407.0598

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