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Painlevé Analysis and Abundant Meromorphic Solutions of a Class of Nonlinear Algebraic Differential Equations

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  • Yongyi Gu
  • Xiaoxiao Zheng
  • Fanning Meng

Abstract

In this paper, a class of nonlinear algebraic differential equations (NADEs) is studied. The Painlevé analysis of the NADEs is considered. Abundant meromorphic solutions of the NADEs are obtained by means of the complex method. Then, meromorphic exact solutions of the Schamel-Korteweg-de Vries (S-KdV) equation and - dimensional sine-Gordon equation are derived via the applications of the NADEs.

Suggested Citation

  • Yongyi Gu & Xiaoxiao Zheng & Fanning Meng, 2019. "Painlevé Analysis and Abundant Meromorphic Solutions of a Class of Nonlinear Algebraic Differential Equations," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-11, February.
    • Handle: RePEc:hin:jnlmpe:9210725
    DOI: 10.1155/2019/9210725
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    Cited by:

    1. Oktay Sh. Mukhtarov & Merve Yücel, 2020. "A Study of the Eigenfunctions of the Singular Sturm–Liouville Problem Using the Analytical Method and the Decomposition Technique," Mathematics, MDPI, vol. 8(3), pages 1-14, March.

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