Solitary waves in a weakly stratified two-layer fluid

  • N. I. Makarenko
  • Zh. L. Mal’tseva


A problem on stationary waves on the interface between a homogeneous fluid and an exponentially stratified fluid is considered. The density difference on the interface being assumed to have the same order of smallness as the density gradient of the fluid inside the stratified layer, an equation of the second-order shallow water approximation is derived for description of propagation of finite-amplitude solitary waves.

Key words

two-layer fluid weak stratification solitary waves 


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Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Lavrent’ev Institute of Hydrodynamics, Siberian DivisionRussian Academy of SciencesNovosibirskRussia

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