The residual symmetry and exact solutions of the Davey–Stewartson III equation. (1st June 2017)

• Record Type: Journal Article
• Authors: Hao, Xiazhi; Liu, Yinping; Tang, Xiaoyan; Li, Zhibin
• Is Part Of: Computers & mathematics with applications. Volume 73:issue 11(2017)
• Page Start: 2404
• Page End: 2414
• Publication Date: 2017-06-01
• Subjects: Residual symmetry -- Davey–Stewartson III system -- Consistent tanh expansion method; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.04.001
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: Through the truncated Painlevé expansion, the residual symmetry of the Davey–Stewartson III system is derived. This symmetry is localized to a properly prolonged system and the corresponding Bäcklund transformation is obtained. Based on the transformation, some exact solutions are generated. Furthermore, several types of interaction wave solutions are obtained by using the consistent tanh expansion method.