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

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 نشر من قبل John Carter
 تاريخ النشر 2019
  مجال البحث فيزياء
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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 to both and study their stability. We present plots of a representative sampling of solutions for a range of wavelengths, wave speeds, wave heights, and surface tension values. Finally, we discuss the role these parameters play in the stability of the solutions.



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