ABSTRACT

No general techniques exist for the solution of nonlinear difference equations. The purpose of this chapter is to present a number of methods that can be applied to obtain solutions to particular classes of nonlinear difference equations. The basic procedure will be to construct a nonlinear transformation such that applying it to the original equation leads to a new difference equation that is linear. For the most part, the nonlinear equations to be considered will be first order. Also, it should be pointed out that nonlinear difference equations of degree higher than one may have more than one solution.