On a Coupled System of Shallow Water Equations Admitting Travelling Wave Solutions

D. Burini, S. De Lillo and D. Skouteris

Mathematical Problems in Engineering, 2015, vol. 2015, 1-11

Abstract:

We consider three inviscid, incompressible, irrotational fluids that are contained between the rigid walls and and that are separated by two free interfaces and . A generalized nonlocal spectral (NSP) formulation is developed, from which asymptotic reductions of stratified fluids are obtained, including coupled nonlinear generalized Boussinesq equations and -dimensional shallow water equations. A numerical investigation of the -dimensional case shows the existence of solitary wave solutions which have been investigated for different values of the characteristic parameters.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:197978

DOI: 10.1155/2015/197978

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