Topological soliton solutions of the some nonlinear partial differential equations

In this paper, we obtained the ۱-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (۳+۱)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note that, this method is always useful and desirable to construct exact solutions especially soliton-type envelope for the understanding of most nonlinear physical phenomena.

Keywords:

Exact solution , topological soliton solution , the (۳+۱)-dimensional shallow water wave equation , the symmetric regularized long wave (SRLW) equation