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- Title
Bifurcation of Traveling Wave Solutions for a Two-Component Generalized θ-Equation.
- Authors
Zhenshu Wen
- 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.
- Subjects
BIFURCATION theory; STABILITY (Mechanics); NUMERICAL solutions to differential equations; BIFURCATION diagrams; CATASTROPHE theory (Mathematics)
- Publication
Mathematical Problems in Engineering, 2012, Vol 2012, p1
- ISSN
1024-123X
- Publication type
Article
- DOI
10.1155/2012/597431