Abstract
AbstractIn this article, by using the Herman–Pole technique the conservation laws of the $(3+1)-$
(
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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference28 articles.
1. Abudiab, M., Khalique, C.M.: Exact solutions and conservation laws of a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation. Adv. Differ. Equ. 2013, 221 (2013)
2. Alimirzaluo, E., Nadjafikhah, M., Manafian, J.: Some new exact solutions of (3 + 1)-dimensional Burgers system via Lie symmetry analysis. Adv. Differ. Equ. 2021, 60 (2021)
3. Alkahtani, B.S.T., Atangana, A., Koca, I.: Numerical analysis for the Klein-Gordon equation with mass parameter. Adv. Differ. Equ. 2017, 291 (2017)
4. Anderson, R.L., et al.: CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 3. New Trends in Theoretical Developments and Computational Methods. CRC Press, Boca Raton (1996)
5. Atangana, A., Araz, S.I.: Mathematical model of Covid-19 spread in Turkey and South Africa: theory, methods, and applications. Adv. Differ. Equ. 2020, 659 (2020)