New impressive vision solitary wave solutions of the Bogoyavlenskii equation in comparison with its numerical solutions

In this article, we will establish new impressive vision for the solitary solutions of Bogoyavlenskii-equation (BE) that represents (2 + 1)-dimensional interaction a Riemann wave propagation along definite axis on normal to it. A comparison between achieved results from point view three different mathematical analysis tool methods according its personal profile name has been constructed. The are used target Paul-Painlevé approach method (PPAM), Ricatti-Bernoulli Sub-ODE (RBSODM) and third one is variational iteration (VIM). suggested have implemented at same time parallel detect visions proposed model.