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.
Original language | English |
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Pages (from-to) | 1219-1227 |
Number of pages | 9 |
Journal | Mathematics and Computers in Simulation |
Volume | 82 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2012 Mar |
Bibliographical note
Funding Information:The authors are grateful to the anonymous referees for their valuable comments and suggestions. This research of Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology ( 2010-0012584 ).
Keywords
- Forced modified KdV
- Numerical stability
- Solitary waves
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics