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Further Results on the Traveling Wave Solutions for an Integrable Equation

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Listed:
  • Chaohong Pan
  • Zhengrong Liu

Abstract

The objective of this paper is to extend some results of pioneers for the nonlinear equation mt=(12)/(1/mk)xxx−(12)/(1/mk)x introduced by Qiao. The equivalent relationship of the traveling wave solutions between the integrable equation and the generalized KdV equation is revealed. Moreover, when k = −(p/q) (p ≠ q and p, q ∈ ℤ+), we obtain some explicit traveling wave solutions by the bifurcation method of dynamical systems.

Suggested Citation

  • Chaohong Pan & Zhengrong Liu, 2013. "Further Results on the Traveling Wave Solutions for an Integrable Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:681383
    DOI: 10.1155/2013/681383
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    References listed on IDEAS

    as
    1. Ming Song & Zhengrong Liu, 2012. "Periodic Wave Solutions and Their Limits for the Generalized KP‐BBM Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Ming Song & Zhengrong Liu, 2012. "Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-25, July.
    3. Qiao, Zhijun & Liu, Liping, 2009. "A new integrable equation with no smooth solitons," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 587-593.
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