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Bifurcation of Traveling Wave Solutions of the Dual Ito Equation

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  • Xinghua Fan
  • Shasha Li

Abstract

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.

Suggested Citation

  • Xinghua Fan & Shasha Li, 2014. "Bifurcation of Traveling Wave Solutions of the Dual Ito Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:153139
    DOI: 10.1155/2014/153139
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    References listed on IDEAS

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    1. Khani, F., 2009. "Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2128-2134.
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