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October  2016, 36(10): 5721-5741. doi: 10.3934/dcds.2016051

## Solitary waves for an internal wave model

 1 Departamento de Matemáticas, Universidad del Valle, Calle 13 Nro. 100-00, Cali, Colombia, Colombia

Received  August 2015 Revised  April 2016 Published  July 2016

We show the existence of solitary wave solutions of finite energy for a model to describe the propagation of internal waves for wave speed $c$ large enough. Furthermore, some of these solutions are approximated using a Newton-type iteration combined with a collocation-spectral strategy for spatial discretization of the corresponding solitary wave equations.
Citation: José Raúl Quintero, Juan Carlos Muñoz Grajales. Solitary waves for an internal wave model. Discrete & Continuous Dynamical Systems - A, 2016, 36 (10) : 5721-5741. doi: 10.3934/dcds.2016051
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