Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended (2+1)-dimensional Zakharov–Kuznetsov–Burgers equation

• We study the ZKB equation using the Lie symmetry groups.
• Similarity reductions and the general solutions are derived.
• The nonlinear self-adjointness are constructed.
• Conservation laws admitted by the ZKB equation are presented.

This paper addresses an extended (2+1)-dimensional Zakharov–Kuznetsov–Burgers (ZKB) equation. The Lie symmetry analysis leads to many plethora of solutions to the equation. The nonlinear self-adjointness condition for the ZKB equation is established and subsequently used to construct simplified but infinitely many nontrivial and independent conserved vectors. In particular, we also get conservation laws of the equation with the corresponding Lie symmetry.