New exact solutions for Chan-Hilliard equation by new sub-equation method. Issue 6 (18th August 2019)

• Record Type: Journal Article
• Authors: Rezazadeh, Hadi; Neirameh, Ahmad; Eslami, Mostafa; Bekir, Ahmet
• Is Part Of: Journal of interdisciplinary mathematics. Volume 22:Issue 6(2019)
• Page Start: 849
• Page End: 861
• Publication Date: 2019-08-18
• Subjects: (2010) 34G20 -- 35C07 -- 35C08 -- 83C15; New sub-equation method -- Exact solutions -- Cahn-Hilliard equation -- Nonlinear evolution equations; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2019.1681698
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: In this present study, new sub-equation method is used to construct exact travelling wave solutions of the Cahn-Hilliard equation (CH). As a consequence, many new general exact travelling wave solutions are obtained including generalized hyperbolic (GH) function, generalized trigonometric (GT) function, exponential function and rational function solutions. Compared with the most existing similar new sub-equation method, the proposed method gives new and more general exact travelling wave solutions. More importantly, the method with the help of symbolic computation prepares a powerful mathematical tool for solving a great many nonlinear evolution equations in mathematical physics.