NEW VARIETY TYPES OF SOLUTION TO THE FUJIMOTO-WATANABLE EQUATION WITH THE CORRESPONDING NUMERICAL SOLUTIONS

Abstract

In this article, new variety types of exact solution to the Fujimoto-Watanable- equation (FWE) that equivalent to the modified Korteweg- de Vries- equation have been derived. These new types of solutions which weren’t realized before by any other technique have been established in the framework of the Ricatti-Bernolli Sub-ODE method (RBSODM). Also, the identical numerical solutions whose initial conditions are emerged from the achieved exact solutions have been constructed by using the famous numerical variational iteration method (VIM).