Stability of Periodic, Traveling-Wave Solutions to the Capillary Whitham Equation

Recently, the Whitham and capillary Whitham equations were shown to accurately model the evolution of surface waves on shallow water. In order to gain a deeper understanding of these equations, we compute periodic, traveling-wave solutions for both and study their stability. We present plots of a re...

Full description

Bibliographic Details
Main Authors: John D. Carter, Morgan Rozman
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/4/1/58