An Extended Auxiliary Function Method and Its Application in mKdV Equation. (22nd April 2013)

• Record Type: Journal Article
• Authors: Xiao, Yafeng; Xue, Haili; Zhang, Hongqing
• Other Names: Khani Farzad Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2013(2013)
• Publication Date: 2013-04-22
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2013/769187
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : An extended auxiliary function method is presented for constructing exact traveling wave solutions to nonlinear partial differential equations. The main idea of this method is to take full advantage of the solutions to the elliptic equation to construct exact traveling wave solutions for nonlinear partial differential equations. mKdV equation is chosen to illustrate the application of the extended auxiliary function method. Consequently, more new exact traveling wave solutions are derived that are not obtained by the previously known methods.