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

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  • D. Burini
  • S. De Lillo
  • D. Skouteris

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.

Suggested Citation

  • D. Burini & S. De Lillo & D. Skouteris, 2015. "On a Coupled System of Shallow Water Equations Admitting Travelling Wave Solutions," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:197978
    DOI: 10.1155/2015/197978
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