Lie symmetry analysis and conservation laws for the (2+1)-dimensional Mikhalev equation

Abstract

Lie symmetry analysis is applied to the (2+1)-dimensional Mikhalev equation, which can be reduced to several (1+1)-dimensional partial differential equations with constant coefficients or variable coefficients. Then we construct exact explicit solutions for part of the above (1+1)-dimensional partial differential equations. Finally, the conservation laws for the (2+1)-dimensional Mikhalev equation are constructed by means of Ibragimov's method. For more information see https://ejde.math.txstate.edu/Volumes/2021/41/abstr.html