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The Bifurcations of Traveling Wave Solutions of the Kundu Equation

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  • Yating Yi
  • Zhengrong Liu

Abstract

We use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave solutions and their bifurcations are obtained. Via some special phase orbits, we obtain some new explicit traveling wave solutions. Our work extends some previous results.

Suggested Citation

  • Yating Yi & Zhengrong Liu, 2013. "The Bifurcations of Traveling Wave Solutions of the Kundu Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:137475
    DOI: 10.1155/2013/137475
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    References listed on IDEAS

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    1. Zhenshu Wen, 2012. "Extension on Bifurcations of Traveling Wave Solutions for a Two‐Component Fornberg‐Whitham Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Ming Song & Bouthina S. Ahmed & Anjan Biswas, 2013. "Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in -Dimensions with Power Law Nonlinearity," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, March.
    3. Zhenshu Wen, 2012. "Extension on Bifurcations of Traveling Wave Solutions for a Two-Component Fornberg-Whitham Equation," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, December.
    4. Ming Song & Bouthina S. Ahmed & Anjan Biswas, 2013. "Topological Soliton Solution and Bifurcation Analysis of the Klein‐Gordon‐Zakharov Equation in (1 + 1)‐Dimensions with Power Law Nonlinearity," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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