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Forced ILW-Burgers Equation as a Model for Rossby Solitary Waves Generated by Topography in Finite Depth Fluids.
- Source :
- Journal of Applied Mathematics; 2012, p1-17, 17p
- Publication Year :
- 2012
-
Abstract
- The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- Intermediate Long Waves-( Burgers equation as a model governing the amplitude of solitary waves is first derived and shown to reduce to the KdV- (Korteweg-de Vries-)Burgers equation in shallow fluids and BO-(Benjamin- Ono-) Burgers equation in deep fluids. By analysis and calculation, the perturbation solution and some conservation relations of the ILW-Burgers equation are obtained. Finally, with the help of pseudospectral method, the numerical solutions of the forced ILW-Burgers equation are given. The results demonstrate that the detuning parameter a holds important implications for the generation of the solitary waves. By comparing with the solitary waves governed by ILW-Burgers equation and BO-Burgers equation, we can conclude that the solitary waves generated by topography in finite depth fluids are different from that in deep fluids. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1110757X
- Database :
- Complementary Index
- Journal :
- Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 84861806
- Full Text :
- https://doi.org/10.1155/2012/491343