Bifurcation of Traveling Wave Solutions of the Dual Ito Equation

Bifurcation of Traveling Wave Solutions of the Dual Ito Equation

The dual Ito equation can be seen as a two-component generalization of the well-known Camassa-Holm equation. By using the theory of planar dynamical system, we study the existence of its traveling wave solutions. We find that the dual Ito equation has smooth solitary wave solutions, smooth periodic...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.896-904
Hauptverfasser: Fan, Xinghua, Li, Shasha
Format: Artikel
Sprache:eng
Schlagworte:
Bifurcation theory
Dynamical systems
Equations
Equilibrium
Mathematical research
Ordinary differential equations
Studies
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Zusammenfassung:The dual Ito equation can be seen as a two-component generalization of the well-known Camassa-Holm equation. By using the theory of planar dynamical system, we study the existence of its traveling wave solutions. We find that the dual Ito equation has smooth solitary wave solutions, smooth periodic wave solutions, and periodic cusp solutions. Parameter conditions are given to guarantee the existence.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/153139