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arXiv · 2309.10651

Wave breaking for the generalized Fornberg-Whitham equation

Jean-Claude Saut·Shihan Sun·Yuexun Wang·Yi Zhang
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Abstract

This paper aims to show that the Cauchy problem of the Burgers equation with a weakly dispersive perturbation involving the Bessel potential (generalization of the Fornberg-Whitham equation) can exhibit wave breaking for initial data with large slope. We also comment on the dispersive properties of the equation.

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Jean-Claude Saut, Shihan Sun, Yuexun Wang, Yi Zhang. 2023-09-19. Wave breaking for the generalized Fornberg-Whitham equation. https://doi.org/10.1137/23m1603431

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