Exact solutions and conservation laws of Zakharov–Kuznetsov modified equal width equation with power law nonlinearity

Abstract

This paper obtains solutions to the Zakharov–Kuznetsov modified equal width equation with power law nonlinearity. The Lie symmetry approach and the simplest equation method are used to obtain these solutions. Moreover, conservation laws are derived for the underlying equation by employing two approaches: the new conservation theorem and the multiplier method.