Exact Travelling Wave Solutions of Zakharov-Kuznetsov(ZK) Equation by the First Integral Method

The first integral method is an efficient method for obtaining exact solutions of nonlinear partial differential equations. The aim of this letter is to find exact solutions of the Zakharov-Kuznetsov(ZK) equation by the first integral method.Key words: First integral method; Exact solution; ZK equatio

New Exact solution for the (2+1)-dimensional Dispersive Long Wave

Abstract: First Integral method obtains some exact solution of non-integrable equations as well as integrable ones. This article is concerned with First Integral method for solving the solution of dispersive long wave system. It is worth mentioning that this method is based on the theory of commutative algebra in which division theorem is of concern. To recapitulate, this investigation has resulted in two exact soliton solutions of the given system. In addition, some figures of partial solutions are provided for direct-viewing analysis. The method can also be extended to other types of nonlinear evolution equations in mathematical physics.Keywords: First Integral method; Exact solution; Dispersive long wave (2+1)-dimensiona