Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid—Forced modified KdV equation

Hongjoong Kim, Won-Soung Bae and Jeongwhan Choi

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 7, 1219-1227

Abstract: Forced internal waves at the interface of a two-layer incompressible fluid in a two-dimensional domain with rigid horizontal boundaries are studied. The lower boundary is assumed to have a small obstruction. We derive a time-dependent forced modified KdV equation when the KdV theory fails and study the stabilities of four types of symmetric time-independent solitary-wave-like solutions numerically.

Keywords: Forced modified KdV; Solitary waves; Numerical stability (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:7:p:1219-1227

DOI: 10.1016/j.matcom.2011.08.001

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