- - - Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo ۱۵۱۳۰۲, 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

Generalized symmetries, Compatibility method, Vc-ZK equation, Conservation laws