Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation

Document Type : Research Paper


Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo 151302, Punjab, India.


The nonlinear variable coefficient Zakharov-Kuznetsov (Vc-ZK) equation is derived using reductive perturbation technique for ion-acoustic solitary waves in magnetized three-component dusty plasma having negatively charged dust particles, isothermal ions, and electrons. The equation is investigated for generalized symmetries using a recently proposed compatibility method. Some more general symmetries are obtained and group invariant solutions are also constructed for these symmetries. Besides this, the equation is also investigated for nontrivial local conservation laws


Volume 9, Issue 1
January 2021
Pages 300-312
  • Receive Date: 11 September 2019
  • Revise Date: 01 January 2020
  • Accept Date: 15 January 2020
  • First Publish Date: 01 January 2021