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The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation

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  • Liu, Yinping
  • Li, Zhibin

Abstract

In this paper, the homotopy analysis method for solving the nonlinear modified Korteweg-de Vries equation is implemented with approximate initial conditions. We discuss the case when the problem has solitons or breathers. Some numerical examples are presented.

Suggested Citation

  • Liu, Yinping & Li, Zhibin, 2009. "The homotopy analysis method for approximating the solution of the modified Korteweg-de Vries equation," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 1-8.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:1-8
    DOI: 10.1016/j.chaos.2007.01.148
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    References listed on IDEAS

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    1. Wu, Yongyan & Wang, Chun & Liao, Shi-Jun, 2005. "Solving the one-loop soliton solution of the Vakhnenko equation by means of the Homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1733-1740.
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    Cited by:

    1. Hayat, T. & Abbas, Z. & Javed, T. & Sajid, M., 2009. "Three-dimensional rotating flow induced by a shrinking sheet for suction," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1615-1626.
    2. Min Guo & Chen Fu & Yong Zhang & Jianxin Liu & Hongwei Yang, 2018. "Study of Ion-Acoustic Solitary Waves in a Magnetized Plasma Using the Three-Dimensional Time-Space Fractional Schamel-KdV Equation," Complexity, Hindawi, vol. 2018, pages 1-17, June.

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