Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation. (26th February 2014)

• Record Type: Journal Article
• Authors: Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng
• Other Names: Khalique Chaudry Masood Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-02-26
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/534017
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : Based on a general Riemann theta function and Hirota's bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of( 2 + 1 ) -dimensional nonlinear partial differential equation. The resulting theory is applied to the( 2 + 1 ) -dimensional Sawada-Kotera equation, thereby yielding its double periodic wave solutions. The relations between the periodic wave solutions and soliton solutions are rigorously established by a limiting procedure.