Exact solutions of two nonlinear partial differential equations by using the first integral method

• Published in: Boundary value problems Vol. 2013; no. 1; p. 117
• Main Authors: Jafari, Hossein, Soltani, Rahmat, Khalique, Chaudry Masood, Baleanu, Dumitru
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 07.05.2013; BioMed Central Ltd
• Subjects: Analysis; Approximations and Expansions; Difference and Functional Equations; Mathematics; Mathematics and Statistics; Ordinary Differential Equations; Partial Differential Equations; Recent Trends on Boundary Value Problems and Related Topics; double sine-Gordon equation; exact solutions; Burgers equation; first integral method
• ISSN: 1687-2770; 1687-2770
• DOI: 10.1186/1687-2770-2013-117

In recent years, many approaches have been utilized for finding the exact solutions of nonlinear partial differential equations. One such method is known as the first integral method and was proposed by Feng. In this paper, we utilize this method and obtain exact solutions of two nonlinear partial differential equations, namely double sine-Gordon and Burgers equations. It is found that the method by Feng is a very efficient method which can be used to obtain exact solutions of a large number of nonlinear partial differential equations.