Exact solutions and conservation laws of the Joseph-Egri equation with power law nonlinearity

Abstract

In this chapter we obtain exact solutions of the Joseph-Egri equation with power law nonlinearity, which arises in various problems in many scientific applications. The Lie group analysis and simplest equation method are used to carry out the integration of this equation. The solutions obtained are travelling wave solutions. Moreover, the conservation laws for the Joseph-Egri equation with power law nonlinearity are constructed by using the multiplier method.