Travelling wave solutions for a Zakharov-Kuznetsov modified equal width equations

DOI10.1016/j.cam.2022.114397zbMath1529.35436OpenAlexW4229440949MaRDI QIDQ6073154

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Publication date: 15 September 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114397

zbMATH Keywords

conservation lawsexact solutionsLie symmetries

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie groups to the sciences; explicit representations (22E70) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Soliton solutions (35C08)

Cites Work

• A note on the Cauchy problem for the 2D generalized Zakharov-Kuznetsov equations
• Local and global well-posedness for the 2D generalized Zakharov-Kuznetsov equation
• Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
• Exact solutions of the \((2+1)\)-dimensional Zakharov-Kuznetsov modified equal width equation using Lie group analysis
• The extended tanh method for the Zakharov-Kuznetsov (ZK) equation, the modified ZK equation, and its generalized forms
• Applications of symmetry methods to partial differential equations
• 1-soliton solution of the generalized Zakharov-Kuznetsov modified equal width equation
• Symmetry and integration methods for differential equations
• New exact solutions for the ZK-MEW equation by using symbolic computation
• Generalization of Noether’s Theorem in Modern Form to Non-variational Partial Differential Equations
• Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
• Direct construction method for conservation laws of partial differential equations Part II: General treatment
• Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods
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