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Abundant lump and lump–kink solutions for the new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation

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Abstract

By utilizing the Hirota’s bilinear form and symbolic computation, abundant lump solutions and lump–kink solutions of the new (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation are derived in this work. Meanwhile, the interaction between lump solutions and the exponential function is also investigated. The dynamic properties of these obtained lump and interaction solutions are analyzed and described in figures by selecting appropriate parameters.

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Authors and Affiliations

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

    Jian-Guo Liu & Yan He

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  1. Jian-Guo Liu
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  2. Yan He
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Correspondence to Yan He.

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The authors state that this research complies with ethical standards. This research does not involve either human participants or animals.

Additional information

Project supported by National Natural Science Foundation of China (Grant No. 81260644), Special project of science and Technology Department of Jiangxi provincial science and Technology Department (Grant No. 20151BBG70031) and Science and technology project of Jiangxi provincial health and Family Planning Commission (20175537).

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Liu, JG., He, Y. Abundant lump and lump–kink solutions for the new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation. Nonlinear Dyn 92, 1103–1108 (2018). https://doi.org/10.1007/s11071-018-4111-7

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  • DOI: https://doi.org/10.1007/s11071-018-4111-7

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