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Conservation laws and exact solutions of the -dimensional Jimbo-Miwa equation
Jalil Manafian1,2, Elnaz Alimirzaluo3, Mehdi Nadjafikhah3
1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Abstract:
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.
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