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, issue 1

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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https://doi.org/10.1155/2012/890574

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:890574

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