A MULTIPLE SCALES METHOD FOR NONLINEAR THE FIFTH-ORDER CAUDREY-DODD-GIBBON EQUATION

Nonlinear evolution equations form the basis for mathematical models of problems arising in numerous areas. Over the past decades, evolution equations have earned a significant place in applied mathematics. This study relates multiple scale method which is known as a perturbation method for nonlinear evolution equations. In this report, a method of multiple scales is presented for the analysis of the (1+1)-dimensional the fifth-order Caudrey-Dodd-Gibbon (CDG) equation and we derive nonlinear Schr？dinger (NLS) type equation