# The Cubic Vortical Whitham Equation

@inproceedings{Carter2021TheCV, title={The Cubic Vortical Whitham Equation}, author={John D. Carter and Henrik Kalisch and Christian Kharif and Malek Abid}, year={2021} }

The cubic-vortical Whitham equation is a two-dimensional model for wave motion on a vertically sheared current of constant vorticity in a shallow inviscid fluid. It generalizes the classical Whitham equation by allowing constant vorticity and by adding a cubic nonlinear term. The inclusion of this extra nonlinear term allows the equation to admit periodic, traveling-wave solutions with larger amplitude than the Whitham equation. Increasing vorticity leads to solutions with larger amplitude as…

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