AIMS Mathematics, 2020, 5(1): 421-439. doi: 10.3934/math.2020029

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

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

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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