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Lump and lump strip solutions to the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation

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Abstract.

Based on symbolic computation, the lump and lump strip solutions of the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation are presented using the generalized bilinear operator with the parameter p = 3. Those solutions are obtained from polynomial solutions, and are simply classified into some classes. Three illustrative examples of the resulting solutions are displayed. Finally, the dynamic properties of the obtained solutions are described.

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Authors and Affiliations

  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, P. O. Box 122, 100876, Beijing, China

    Xue Guan & Wenjun Liu

  2. School of Electronics and Information Engineering, Wuhan Donghu University, 430212, Wuhan, China

    Qin Zhou

Authors
  1. Xue Guan
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  2. Qin Zhou
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  3. Wenjun Liu
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Correspondence to Wenjun Liu.

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Guan, X., Zhou, Q. & Liu, W. Lump and lump strip solutions to the (3 + 1)-dimensional generalized Kadomtsev-Petviashvili equation. Eur. Phys. J. Plus 134, 371 (2019). https://doi.org/10.1140/epjp/i2019-12719-6

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