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arXiv · 1802.10040

Small amplitude traveling waves in the full-dispersion Whitham equation

Atanas Stefanov·J. Douglas Wright
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Abstract

In this article, we provide an alternative way to construct small amplitude traveling waves for general Whitham type equations, in both periodic and whole line contexts. More specifically, Fourier analysis techniques allow us to reformulate the problem to the study of waves that are small and regular perturbations of well-understood ODE's. In addition, rigorous stability of these waves is established.

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Atanas Stefanov, J. Douglas Wright. 2018-02-27. Small amplitude traveling waves in the full-dispersion Whitham equation. https://arxiv.org/abs/1802.10040

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