This book provides an introduction to the theory and application of the solution of differential equations using symmetries ... In this text the emphasis is on how to find and use the symmetries in ...

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly ... Copious exercises are included, and applications of the theory are ...

In this chapter, we shall study the applications of linear differential equations to various physical problems. Such equations play a dominant role in unifying seemingly different theories of ...

Besides these, partial differential equations also play an important role in the theories of elasticity, hydraulics, and so forth. In the applications of ordinary linear differential equations, we ...

The three main types of linear second order partial differential equations will be considered ... Elementary distributional calculus and the notion of weak solutions will also be considered.