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

• Main Author: Md. Khorshed Alam
• Format: Article
• Language: English
• Published: ATNAA 2020-10-01
• Series: Advances in the Theory of Nonlinear Analysis and its Applications
• Subjects: caudrey-dodd-gibbon (cdg) equation; lax equation; new generalized (g0/g)-expansion method
• Online Access: https://dergipark.org.tr/tr/download/article-file/1183259

This paper addresses the implementation of the new generalized (G0/G)- expansion method to the CaudreyDodd-Gibbon (CDG) equation and the Lax equation which are two special case of the fifth order KdV (fKdV) equation. The method works 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 (G0/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.