Complexiton solutions and periodic-soliton solutions for the (2+1)-dimensional BLMP equation

Jian-Guo Liu; Wen-Hui Zhu; Yan He; Aly R. Seadawy; Jian-Guo Liu; Wen-Hui Zhu; Yan He; Aly R. Seadawy

doi:10.3934/math.2020029

AIMS Mathematics

2020, Volume 5, Issue 1: 421-439. doi: 10.3934/math.2020029

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Research article

Complexiton solutions and periodic-soliton solutions for the (2+1)-dimensional BLMP equation

Jian-Guo Liu ^{1
,
,},
Wen-Hui Zhu ^{2
,
,},
Yan He ^{1
,
,},
Aly R. Seadawy ^{3
,
,}

1.
College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, China
2.
Institute of artificial intelligence, Nanchang Institute of Science and Technology, Jiangxi 330108, China
3.
Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

Received: 29 October 2019 Accepted: 02 December 2019 Published: 04 December 2019
MSC : 35C08, 68M07, 33F10

The (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation is studied, which describes the incompressible fluid. By virtue of an ansätz functions and the bilinear form, many entirely new complexiton solutions and periodic-soliton solutions are derived. With the aid of symbolic computation, their dynamical behaviors are demonstrated in some three-dimensional plots by choosing different values of the parameters.
- bilinear form,
- complexiton solutions,
- incompressible fluid,
- dynamical behaviors,
- periodic solutions
Citation: Jian-Guo Liu, Wen-Hui Zhu, Yan He, Aly R. Seadawy. Complexiton solutions and periodic-soliton solutions for the (2+1)-dimensional BLMP equation[J]. AIMS Mathematics, 2020, 5(1): 421-439. doi: 10.3934/math.2020029

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Abstract

The (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation is studied, which describes the incompressible fluid. By virtue of an ansätz functions and the bilinear form, many entirely new complexiton solutions and periodic-soliton solutions are derived. With the aid of symbolic computation, their dynamical behaviors are demonstrated in some three-dimensional plots by choosing different values of the parameters.

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