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New three-wave solutions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

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Abstract

Based on the extended three-wave approach and the Hirota’s bilinear method, the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation is investigated. With the aid of symbolic computation, some three-wave solutions including kinky periodic solitary-wave solutions, periodic soliton solutions and kink solutions are presented. The figures corresponding to these solutions are illustrated to show abundant physics structures. These solutions enrich the sorts of the dynamics of nonlinear wave model.

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Acknowledgements

We would like to thank Editor, the Referees for their timely and valuable comments.

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Authors and Affiliations

  1. College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi, 330004, China

    Jian-Guo Liu, Jian-Qiang Du & Bin Nie

  2. Department of Basic, Jiangxi Vocational and Technical College of Communication, Jiangxi, 330013, China

    Zhi-Fang Zeng

Authors
  1. Jian-Guo Liu
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  2. Jian-Qiang Du
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  3. Zhi-Fang Zeng
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  4. Bin Nie
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Correspondence to Jian-Guo Liu.

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Project supported by National Natural Science Foundation of China (Grant Nos. 61562045 and 61363042).

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Liu, JG., Du, JQ., Zeng, ZF. et al. New three-wave solutions for the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Nonlinear Dyn 88, 655–661 (2017). https://doi.org/10.1007/s11071-016-3267-2

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