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arXiv · 1802.00215

Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation

Guenther Hoermann
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Abstract

We analyze the weak solution concept for the Fornberg-Whitham equation in case of traveling waves with a piecewise smooth profile function. The existence of discontinuous weak traveling wave solutions is shown by means of analysis of a corresponding planar dynamical system and appropriate patching of disconnected orbits.

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Guenther Hoermann. 2018-02-01. Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation. https://arxiv.org/abs/1802.00215

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