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New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions

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Abstract

In this paper, we develop a new extended Kadomtsev–Petviashvili (eKP) equation. We use the Painlevé analysis to confirm the integrability of the eKP equation. We derive the bilinear form, multiple soliton solutions and lump solutions via using the Hirota’s direct method. Moreover, the soliton, breather and lump interaction solutions for this model are also obtained as well. Graphs are drawn to illustrate the abundant dynamical behaviors of the obtained solutions.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Beijing Technology and Business University, Beijing, 100048, People’s Republic of China

    Yu-Lan Ma

  2. Department Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

    Abdul-Majid Wazwaz

  3. School of Computer, Beijing Technology and Business University, Beijing, 100048, People’s Republic of China

    Bang-Qing Li

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  1. Yu-Lan Ma
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  2. Abdul-Majid Wazwaz
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  3. Bang-Qing Li
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Ma, YL., Wazwaz, AM. & Li, BQ. New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions. Nonlinear Dyn 104, 1581–1594 (2021). https://doi.org/10.1007/s11071-021-06357-8

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