In this article, by using the Herman-Pole technique the conservation laws of the 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.
Keywords: Classical symmetry; Conservation laws; Non-classical symmetry; Traveling wave.
© The Author(s) 2021.