New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method

To start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ODE. Then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. It is required to state that the infinite series method is a well-organized method for obtaining exact solutions of some nonlinear partial differential equations. In addition, it is worth mentioning that this method can be applied to non-integrable equations as well as integrable ones. This direct algebraic method is also used to construct the new exact solutions of the three given examples. It can also be claimed that any equation matching the special form which has been made in this article, will be solved immediately by means of infinite series method.