New exact solutions of stochastic KdV equation

In this paper, the multi-wave method is used to find new exact solitary solutions of nonlinear stochastic KdV equation. By using this approach and with the help of Mathematica we obtain a new type of multi-wave solution, periodic one and two-solitary-wave solution for the stochastic KdV equation are researched. The results presented in this paper improve the previous results

Extended trial equation method and applications to some nonlinear problems

In this paper, we introduce the extended trial equation method for solving nonintegrable partial differential equations in mathematical physics. Some exact solutions including soliton solutions, rational, elliptic integral function, Jacobi elliptic function solutions to the (N +1)-dimensional sine-cosine-Gordon equation and the KdV equation with dual power law nonlinearity are obtained by this method. Also, a more general version of the extended trial equation method is proposed