Exact internal waves of a Boussinesq system

Details Exact internal waves of a Boussinesq system Exact internal waves of a Boussinesq system

2010-01-19

arxiv.org/abs/1001.3306v1

109--119, Waves and stability in continuous media, eds. A. Greco, S. Rionero and T. Ruggeri (World scientific, Singapore, 2010

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, Waves and stability in continuous media, Palermo, 28 June-1 July 2009. Eds. A.Greco, S.Rionero and T.Ruggeri (World

Scientific paper

We consider a Boussinesq system describing one-dimensional internal waves which develop at the boundary between two immiscible fluids, and we restrict to its traveling waves. The method which yields explicitly all the elliptic or degenerate elliptic solutions of a given nonlinear, any order algebraic ordinary differential equation is briefly recalled. We then apply it to the fluid system and, restricting in this preliminary report to the generic situation, we obtain all the solutions in that class, including several new solutions.

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