### AIMS Mathematics

2020, Issue 1: 421-439. doi: 10.3934/math.2020029
Research article

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

• 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.

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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• 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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沈阳化工大学材料科学与工程学院 沈阳 110142

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