Periodic, kink and bell shape wave solutions to the Caudrey-Dodd-Gibbon (CDG) equation and the Lax equation

Authors : Md Khorshed ALAM

Pages : 216-232

Doi:10.31197/atnaa.762574

View : 17 | Download : 12

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :This paper addresses the implementation of the new generalized insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(G`);⁄G);-expansion method to the Caudrey-Dodd-Gibbon insert ignore into journalissuearticles values(CDG); equation and the Lax equation which are two special case of the fifth-order KdV insert ignore into journalissuearticles values(fKdV); equation. The method work well to derive a new variety of travelling wave solutions with distinct physical structures such as soliton, singular soliton, kink, singular kink, bell-shaped soltion, anti-bell-shaped soliton, periodic, exact periodic and bell type solitary wave solutions. Solutions provided by this method are numerous comparing to other methods. To understand the physical aspects and importance of the method, solutions have been graphically simulated. Our results unquestionably disclose that new generalized insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(G`);⁄G);-expansion method is incredibly influential mathematical tool to work out new solutions of various types of nonlinear partial differential equations arises in the fields of applied sciences and engineering.
Keywords : Caudrey Dodd Gibbon CDG, equation, Lax equation, New generalized G`, ⁄G, expansion method