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Numerical stability of symmetric solitary-wave-like waves of a two-layer fluid-Forced modified KdV equation
- Authors
- Kim, Hongjoong; Bae, Won-Soung; Choi, Jeongwhan
- Issue Date
- 3월-2012
- Publisher
- ELSEVIER
- Keywords
- Forced modified KdV; Solitary waves; Numerical stability
- Citation
- MATHEMATICS AND COMPUTERS IN SIMULATION, v.82, no.7, pp.1219 - 1227
- Indexed
- SCIE
SCOPUS
- Journal Title
- MATHEMATICS AND COMPUTERS IN SIMULATION
- Volume
- 82
- Number
- 7
- Start Page
- 1219
- End Page
- 1227
- ISSN
- 0378-4754
- 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. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
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