On a Coupled System of Shallow Water Equations Admitting Travelling Wave Solutions
We consider three inviscid, incompressible, irrotational fluids that are contained between the rigid walls y=−h1 and y=h+H and that are separated by two free interfaces η1 and η2. A generalized nonlocal spectral (NSP) formulation is developed, from which asymptotic reductions of stratified fluids ar...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/197978 |
| Summary: | We consider three inviscid, incompressible, irrotational fluids that are contained between the rigid walls y=−h1 and y=h+H and that are separated by two free interfaces η1 and η2. A generalized nonlocal spectral (NSP) formulation is developed, from which asymptotic reductions of stratified fluids are obtained, including coupled nonlinear generalized Boussinesq equations and (1+1)-dimensional shallow water equations. A numerical investigation of the (1+1)-dimensional case shows the existence of solitary wave solutions which have been investigated for different values of the characteristic parameters. |
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| ISSN: | 1024-123X 1563-5147 |