In this paper, we use a method in order to find exact explicit traveling solutions in the subspace of the phase space for coupled KdV equations. The key idea is removing a coupled relation for the given system so that the new systems can be solved. The existence of solitary wave...
Open access
Research Article10.9734/BJMCS/2014/5474
A nonlinear evolution equation in the AKNS hierarchy is presented. The symmetries for this equation are given. The exact traveling wave solutions are obtained by using the tanh-expand and sine-cosine methods.
Open access
Research Article10.9734/BJMCS/2014/6465
By using the sine-cosine method, the extended tanh-method, we study a (2+1)-dimensional generalized Kadomtsov-Petviashvili-Benjamin-Bona-Mahony equation. It is shown that this class gives compactons solutions, solitary patterns solutions and periodic solutions. The change of the...
Open access
Research Article10.9734/BJMCS/2013/3951
By using the bifurcation theory of dynamical systems to the generalized KP equation, under different parametric conditions, various sufficient conditions to guarantee the existence of the solitary wave solutions, periodic cusp wave solutions and compactons solutions are given. So...
Open access
Research Article10.9734/BJMCS/2012/1420
In this paper we study a class of nonlinear fourth order analogue of a generalized Camassa-Holm equation by using sine-cosine method. The compactons, solitary wave, solitary patterns, periodic wave and solitary patterns solutions of a class of nonlinear fourth order analogue of a...
Open access
Research Article10.9734/BJMCS/2014/7892