Two Different Classes of Wronskian Conditions to a (3 + 1)-Dimensional Generalized Shallow Water Equation. (7th August 2012)

• Record Type: Journal Article
• Authors: Tang, Yaning; Su, Pengpeng
• Other Names: Karakostas G. L. Academic Editor.; Ozawa T. Academic Editor.
• Is Part Of: ISRN mathematical analysis. Volume 2012(2012)
• Publication Date: 2012-08-07
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Periodicals; 515
• DOI: 10.5402/2012/384906
• Languages: English
• ISSNs: 2090-4657

Abstract

Abstract : Based on the Hirota bilinear method and Wronskian technique, two different classes of sufficient conditions consisting of linear partial differential equations system are presented, which guarantee that the Wronskian determinant is a solution to the corresponding Hirota bilinear equation of a (3 + 1 )-dimensional generalized shallow water equation. Our results show that the nonlinear equation possesses rich and diverse exact solutions such as rational solutions, solitons, negatons, and positons.