Symmetry analysis, exact solutions and conservation laws of 3D Zakharov-Kuznetsov (ZK) equation

Malose Joseph Fatlane, Khadijo Rashid Adem*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, meticulous solutions of the three-dimensional Zakharov-Kuznetsov equation are gained. Lie group analysis is utilized to convey the integration of the underlying equation. We also employ the ansatz method to obtain further exact solutions. The results obtained are solitary waves. Moreover, conservation laws are derived by using the characteristic method.

Original languageEnglish
JournalJournal of Interdisciplinary Mathematics
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • 35C05
  • 35C07
  • 35G20
  • Conservation laws
  • Integrability
  • Lie symmetries
  • Lie symmetry methods
  • Simplest equation method
  • Solitons

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