New solitonary solutions for modified forms of DP and CH equations using Exp-function method

In this paper we use the Exp-function method for the analytic treatment of the modified forms of Degasperis-Procesi and Camassa-Holm equations. New solitonary solutions are formally derived. The change of the parameters, that in its turn drastically changes the characteristics of the equations, is examined. It is shown that the Exp-function method, with the help of symbolic computation, provides a powerful mathematical tool for solving high-dimensional nonlinear evolutions in mathematical physics.