Wave breaking for the generalized Fornberg-Whitham equation
arXiv:2309.10651 · doi:10.1137/23M1603431
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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