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Some new kink type solutions for the new (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation

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Abstract

Exact solutions of higher-dimensional nonlinear equations takes a major place in the study of nonlinear phenomena observed in nature. In this article, some new kink type solutions are investigated for the new (3+1)-dimensional Boiti-Leon-Manna-Pempinelli(BLMP) equation. Firstly, a variety of solutions are obtained by Hirota’s bilinear form, which include kink type wave solution, periodic solitary wave solutions and singular solitary wave solutions using extended homoclinic test approach. Secondly, solutions with three wave form are obtained by generalized three wave method. The extended homoclinic test approach is also used to construct solutions with a tail which explain some physical phenomenon. Moreover, some figures of the solutions are shown behind.

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The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation, to any qualified researcher.

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Funding

The paper was supported by National Natural Science Foundation of China Nos.  11861013, 11771444;  Guangxi Science and Technology Base and Talent Project No.  AD21238019;  the Fundamental Research Funds for the Central Universities, China University of Geosciences(Wuhan) No. 2018061.

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  1. These authors contributed equally to this work.

Authors and Affiliations

  1. School of Mathematics and Physics, China University of Geosciences, Lumo Road, Hubei, 430074, Wuhan, China

    Xue Chen, Yanfeng Guo & Tengfei Zhang

  2. School of Science, Guangxi University of Science and Technology, Donghuan Avenue, Liuzhou, 545006, Guangxi, China

    Yanfeng Guo

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  1. Xue Chen
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  2. Yanfeng Guo
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These authors contributed equally to this work.

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Correspondence to Yanfeng Guo.

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Chen, X., Guo, Y. & Zhang, T. Some new kink type solutions for the new (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Nonlinear Dyn 111, 683–695 (2023). https://doi.org/10.1007/s11071-022-07856-y

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