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.
Ömer Faruk Gözükızıl. Şamil Akçağıl. "Travelling Wave Solutions to the Benney-Luke and the Higher-Order Improved Boussinesq Equations of Sobolev Type." Abstr. Appl. Anal. 2012 (SI06) 1 - 10, 2012. https://doi.org/10.1155/2012/890574