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Lump solutions to the generalized (2+1)-dimensional B-type Kadomtsev-Petviashvili equation
Authors:Benzhi Cai  Zhenli Wang  Lihua Zhang  Hanze Liu
Affiliation:Department of Mathematics, Ningbo University,School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China,School of Mathematical Sciences, Dezhou University, Dezhou 253000, Shan- dong, China and School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, China
Abstract:Through symbolic computation with Maple, the (2+1)-dimensional B-type Kadomtsev-Petviashvili(BKP) equation is considered. The generalized bilinear form not the Hirota bilinear method is the starting point in the computation process in this paper. The resulting lump solutions contain six free parameters, four of which satisfy two determinant conditions to guarantee the analyticity and rational localization of the solutions, while the others are arbitrary. Finally, the dynamic properties of these solutions are shown in figures by choosing the values of the parameters.
Keywords:Lump solution   generalized bilinear form   B-type Kadomtsev-Petviashvili equation   symbolic computation.
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