SECH^{n} SOLUTIONS OF THE GENERALIZED AND MODIFIED ROSENAU-HYMAN EQUATIONS

In the course of this work, we are going to look for the nth order exact pulse solitary wave solutions of the generalized Rosenau – Hyman equation. We defined the generalized Rosenau – Hyman equation and use Bogning – Djeumen Tchaho – Kofané method in searching globally for solitary wave solutions and conditions necessary for its obtention. The solutions of some particular K(m,m) equations are proposed.