Exact travelling wave solutions of nonlinear evolution equation of surface waves in a convecting fluid

Exact travelling wave solutions in terms of the Weierstrass P-function of the equation eta t +a 0 eta x +a 1 eta eta x +a 2 eta xxx +b 0 eta xx +b 1 ( eta eta x ) x +b 2 eta xxxx =0 are obtained. These solutions may describe particularly both the evolution of a bounded conoidal wave and kink-shaped waves.