Generalized solitary waves in the gravity‐capillary Whitham equation
Generalized solitary waves in the gravity‐capillary Whitham equation
Abstract We study the existence of traveling wave solutions to a unidirectional shallow water model, which incorporates the full linear dispersion relation for both gravitational and capillary restoring forces. Using functional analytic techniques, we show that for small surface tension (corresponding to Bond numbers between 0 and 1/3) there exists …