Travelling Wave Solutions to the Benney-Luke and the Higher-Order Improved Boussinesq Equations of Sobolev Type

Ömer Faruk Gözükızıl and Şamil Akçağıl

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

By using the tanh-coth method, we obtained some travelling wave solutions of two well-known nonlinear Sobolev type partial differential equations, namely, the Benney-Luke equation and the higher-order improved Boussinesq equation. We show that the tanh-coth method is a useful, reliable, and concise method to solve these types of equations.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:890574

DOI: 10.1155/2012/890574

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