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

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.

Subject Classification: (2010):

• 35G20
• 35C05
• 35C07

Keywords:

• Lie symmetries
• Solitons
• Integrability
• Lie symmetry methods
• Simplest equation method
• Conservation laws