Bifurcation of Traveling Wave Solutions for a Two-Component Generalized θ-Equation. (13th December 2012)

• Record Type: Journal Article
• Authors: Wen, Zhenshu
• Other Names: Bakhoum Ezzat G. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2012(2012)
• Publication Date: 2012-12-13
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2012/597431
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : We study the bifurcation of traveling wave solutions for a two-component generalized θ -equation. We show all the explicit bifurcation parametric conditions and all possible phase portraits of the system. Especially, the explicit conditions, under which there exist kink (or antikink) solutions, are given. Additionally, not only solitons and kink (antikink) solutions, but also peakons and periodic cusp waves with explicit expressions, are obtained.