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

Author

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  • Kim, Hongjoong
  • Bae, Won-Soung
  • Choi, Jeongwhan

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.

Suggested Citation

  • Kim, Hongjoong & Bae, Won-Soung & Choi, Jeongwhan, 2012. "Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid—Forced modified KdV equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(7), pages 1219-1227.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:7:p:1219-1227
    DOI: 10.1016/j.matcom.2011.08.001
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