Exact solutions and conversation laws of (2+1) - dimensional zarkharov-kuznetsov modified equal width equation

Abstract

In this dissertation exact solutions of the (2+1) dimensional Zakharov-Kuznetsov modified equal width equation arc obtained. The Lie group analysis is used to carry out the integration of this equation. The solutions obtained include the non-topological soliton solution, cnoidal waves and the traveling wave solutions. Also exact solutions to the Zakharov-Kuznetsov modified equal width equation with power Jaw nonlinearity arc obtained. The Lie symmetry approach along with the simplest equation method is used to obtain these solutions. Moreover, conservation laws of the generalized Zarkharov-Kuznetsov modified equal width equation with power law nonlinearity arc derived using the new conservation theorem and the multiplier method. Finally, both the topological as well as non-topological soliton solutions arc obtained using the solitary wave anstaz method for the underlying equation.