Numerical Bifurcation and Spectral Stability of Wavetrains in Bidirectional Whitham Models
Numerical Bifurcation and Spectral Stability of Wavetrains in Bidirectional Whitham Models
Abstract We consider several different bidirectional Whitham equations that have recently appeared in the literature. Each of these models combines the full two‐way dispersion relation from the incompressible Euler equations with a canonical shallow water nonlinearity, providing nonlocal model equations that may be expected to exhibit some of the interesting …