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The Study of the Solution to a Generalized KdV‐mKdV Equation

Author

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  • Xiumei Lv
  • Tengwei Shao
  • Jiacheng Chen

Abstract

A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV‐mKdV equation which possesses high‐order nonlinear terms. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton‐like solutions, and the triangle function solutions to the equation are obtained.

Suggested Citation

  • Xiumei Lv & Tengwei Shao & Jiacheng Chen, 2013. "The Study of the Solution to a Generalized KdV‐mKdV Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:249043
    DOI: 10.1155/2013/249043
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    References listed on IDEAS

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    1. Zeqing Liu & Ling Guan & Sunhong Lee & Shin Min Kang, 2013. "Existence and Iterative Algorithms of Positive Solutions for a Higher Order Nonlinear Neutral Delay Differential Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-28, February.
    2. Zeqing Liu & Ling Guan & Sunhong Lee & Shin Min Kang, 2013. "Existence and Iterative Algorithms of Positive Solutions for a Higher Order Nonlinear Neutral Delay Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Nattakorn Sukantamala & Supawan Nanta, 2021. "On Solitary Wave Solutions for the Camassa‐Holm and the Rosenau‐RLW‐Kawahara Equations with the Dual‐Power Law Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).

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