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Nonlinear localized waves resonance and interaction solutions of the (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation

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This paper deals with localized waves in the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in the incompressible fluid. Based on Hirota’s bilinear method, N-soliton solutions related to Boiti–Leon–Manna–Pempinelli equation are constructed. Novel nonlinear wave phenomena are obtained by selecting appropriate parameters to N-soliton solutions, and time evolutions of different kinds of solitary waves are investigated in detail. Rich elastic interactions are illustrated analytically and graphically. More specifically, the inelastic interactions, i.e., fusion and fission of solitary waves, are constructed by choosing special parameters on kink solitons and breathers. The analysis of the influence of parameters on propagation is revealed in three tables. The results have potential applications in fluid mechanics.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Nos. 11905013, 11971067, 11772063), the Beijing Natural Science Foundation under Grant (No. 1182009), and the Scientific Research Common Program of Beijing Municipal Commission of Education under Grant (No. KM201911232011).

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Authors and Affiliations

  1. School of Applied Science, Beijing Information Science and Technology University, Beijing, 100192, People’s Republic of China

    Juanjuan Wu, Yaqing Liu, Linhua Piao, Jianhong Zhuang & Deng-Shan Wang

  2. Research Center for Sensor Technology, Beijing Information Science and Technology University, Jianxiangqiao Campus, Beijing, 100101, People’s Republic of China

    Linhua Piao

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  1. Juanjuan Wu
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Wu, J., Liu, Y., Piao, L. et al. Nonlinear localized waves resonance and interaction solutions of the (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Nonlinear Dyn 100, 1527–1541 (2020). https://doi.org/10.1007/s11071-020-05573-y

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