A Simplification for Exp-Function Method When the Balanced Nonlinear Term Is a Certain Product. (17th December 2013)

• Record Type: Journal Article
• Authors: Liu, Hong-Zhun
• Other Names: Jafari Hossein Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-12-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/264549
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The Exp-function method plays an important role in searching for analytic solutions of many nonlinear differential equations. In this paper, we prove that the balancing procedure in the method is unnecessary when the balanced nonlinear term is a product of the dependent variable under consideration and its derivatives. And in this case, the ansatz of the method can be simplified to be with less parameters so as to be easy to calculate.