Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability

Adam L. Binswanger, Mark A. Hoefer, Boaz Ilan +1

The Whitham equation was proposed as a model for surface water waves that combines the quadratic flux nonlinearity $f(u)=\frac{1}{2}{u}^2$ of the Korteweg-de Vries equation and th…