THE GENERALIZED KUDRYASHOV METHOD TO SOLVE SOME COUPLED NONLINEAR EVOLUTION EQUATIONS

The paper studies the generalized Kudryashov method looking for the exact traveling wave solutions of two coupled nonlinear evolution equations (NLEEs), such as the coupled (1+1)-dimensional Broer-Kaup (BK) equations and the (1+1)-dimensional Dispersive Long Wave (DLW) equations. New explicit solutions are discovered in exponential form to the studied equations through generalized Kudryashov method. The richness of the behavior of the obtained solutions is such that there continues to be ongoing analytical studies of NLEEs through generalized Kudryashov method. Moreover, it is revealed that in the physical science and engineering difficulties for seeking the exact solution of the NLEEs the current method is very influential and straight forward.