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Multiple soliton solutions, soliton-type solutions and rational solutions for the (3+1)-dimensional potential-YTSF equation

Author

Listed:
  • Jianguo Liu

    (Jiangxi University of Traditional Chinese Medicine)

  • Zhifang Zeng

    (Jiangxi Vocational and Technical College of Communication)

Abstract

In this paper, we employ the extended variable-coefficient homogeneous balance method (EvcHB), the Painlevé-Bäcklund transformation and the simplified Hirota’s method to derive auto-Bäcklund transformation, multiple soliton solutions and multiple singular soliton solutions of the (3+1)-dimensional potential-YTSF equation. We also obtain a variety of traveling wave solutions, soliton-type solutions and rational solutions of distinct physical structures.

Suggested Citation

  • Jianguo Liu & Zhifang Zeng, 2014. "Multiple soliton solutions, soliton-type solutions and rational solutions for the (3+1)-dimensional potential-YTSF equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(6), pages 989-1002, December.
    • Handle: RePEc:spr:indpam:v:45:y:2014:i:6:d:10.1007_s13226-014-0100-9
    DOI: 10.1007/s13226-014-0100-9
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    References listed on IDEAS

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    1. Bai, Cheng-Lin & Zhao, Hong, 2006. "Generalized extended tanh-function method and its application," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1026-1035.
    2. Gh. Forozani & M. Ghorveei Nosrat, 2013. "Solitary solution of modified bad and good Boussinesq equation by using of tanh and extended tanh methods," Indian Journal of Pure and Applied Mathematics, Springer, vol. 44(4), pages 497-510, August.
    3. Zhang, Ting-Xuan & Xuan, Heng-Nong & Zhang, Da-Fang & Wang, Chang-Ji, 2007. "Non-travelling wave solutions to a (3+1)-dimensional potential-YTSF equation and a simplified model for reacting mixtures," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 1006-1013.
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