Author:
Carter John D.,Rozman Morgan
Abstract
Recently, the Whitham and capillary Whitham equations were shown to accurately modelthe evolution of surface waves on shallow water. In order to gain a deeper understanding of theseequations, we compute periodic, traveling-wave solutions for both and study their stability. Wepresent plots of a representative sampling of solutions for a range of wavelengths, wave speeds, waveheights, and surface tension values. Finally, we discuss the role these parameters play in the stabilityof these solutions.
Funder
National Science Foundation
Subject
Fluid Flow and Transfer Processes,Mechanical Engineering,Condensed Matter Physics
Cited by
6 articles.
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