Exact Solutions for the KdV Equation with Forcing Term by the Generalized tanh-coth Method and the (G′/G)-Expansion Method. (3rd June 2014)

• Record Type: Journal Article
• Authors: Manafian, Jalil; Nasrollahpour, Monireh
• Other Names: Hashim I. Academic Editor.; Yeih W. Academic Editor.
• Is Part Of: ISRN applied mathematics. Volume 2014(2014)
• Publication Date: 2014-06-03
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; Electronic journals; 510
• DOI: 10.1155/2014/948072
• Languages: English
• ISSNs: 2090-5564

Abstract

Abstract : An application of the generalized tanh-coth method and the ( G ′ / G ) -expansion method to search for exact solutions of nonlinear partial differential equations is analyzed. These methods are used for the KdV equation with forcing term. The generalized tanh-coth method and the ( G ′ / G ) -expansion method were used to construct periodic wave and solitary wave solutions of nonlinear evolution equations. It is shown that the generalized tanh-coth method and the ( G ′ / G ) -expansion method, with the help of symbolic computation, provide a straightforward and powerful mathematical tool for solving nonlinear problems.