SECH^{n} SOLUTIONS OF THE GENERALIZED AND MODIFIED ROSENAU-HYMAN EQUATIONS
JEAN ROGER BOGNING *
Department of Physics, University of Bamenda, Higher Teacher Training College, Bambili, P.O.Box 39, Bamenda, Cameroon.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Generalized Rosenau – hyman equation, BDKm, pulse solitary waves, sech{n}solutions