Conservation laws and exact solutions of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(3+1)$\end{document} ( 3 + 1 ) -dimensional Jimbo–Miwa equation

Abstract

\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(3+1)$\end{document} ( 3 + 1 ) -dimensional Jimbo–Miwa equation Authors: ['Jalil Manafian' 'Elnaz Alimirzaluo' 'Mehdi Nadjafikhah'] In this article, by using the Herman-Pole technique the conservation laws of the \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(3+1)-$\end{document} ( 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.