Bounded Traveling Waves of the (2+1)-Dimensional Zoomeron Equation. (16th September 2015)

• Record Type: Journal Article
• Authors: Zhou, Yuqian; Cai, Shanshan; Liu, Qian
• Other Names: Balasubramaniam P. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-09-16
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/163597
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The bifurcation method of dynamical system and numerical simulation method of differential equation are employed to investigate the (2+1)-dimensional Zoomeron equation. We obtain the parameter bifurcation sets that divide the parameter space into different regions which correspond to qualitatively different phase portraits. According to these phase portraits, all bounded traveling waves are identified and simulated, including solitary wave solutions, shock wave solutions, and periodic wave solutions. Furthermore, all exact expressions of these bounded traveling waves are given. Among them, the elliptic function periodic wave solutions are new solutions.