Conservation laws and exact solutions of the ( 3 + 1 ) -dimensional Jimbo-Miwa equation.

In this article, by using the Herman-Pole technique the conservation laws of the ( 3 + 1 ) - Jimbo-Miwa equation are obtained, and then by using the Lie symmetry analysis all of the geometric vector fields of this equation are given. Also, the non-classical symmetries of the Jimbo-Miwa equation have been determined by applying nonclassical schemes. Eventually, the ansatz solutions of the Jimbo-Miwa equations utilizing the tanh technique have been offered.