Boussinesq, Klein-Gordon and Liouville Equations

Abstract

In the preceeding two chapters we examined the family of the KdV and the KdV-type of equations, where the first order partial derivative ut was involved in all these equations [1]. In this chapter, we will study the nonlinear evolution equations where each contains the second order partial derivative utt in addition to other partial derivatives. This family of nonlinear equations gained its importance because it appears in many scientific applications and physical phenomena.