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

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2021 English Publisher:Springer Science and Business Media LLCJournal:Nonlinear Dynamics, volume 104, pages 1,581-1,594 (issn: 0924-090X, eissn: 1573-269X,

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Authors: Yu-Lan Ma; Abdul-Majid Wazwaz; Bang-Qing Li;

doi: 10.1007/s11071-021-06357-8

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 Painleve 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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Saint Xavier University
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Beijing Technology and Business University
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