LUMP SOLUTIONS TO THE GENERALIZED (2+1)-DIMENSIONAL B-TYPE KADOMTSEV-PETVIASHVILI EQUATION

Benzhi Cai; Zhenli Wang; Lihua Zhang; Hanze Liu

doi:10.11948/20190183

2020 Volume 10 Issue 3

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Benzhi Cai, Zhenli Wang, Lihua Zhang, Hanze Liu. LUMP SOLUTIONS TO THE GENERALIZED (2+1)-DIMENSIONAL B-TYPE KADOMTSEV-PETVIASHVILI EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 1038-1046. doi: 10.11948/20190183

Citation:

Benzhi Cai, Zhenli Wang, Lihua Zhang, Hanze Liu. LUMP SOLUTIONS TO THE GENERALIZED (2+1)-DIMENSIONAL B-TYPE KADOMTSEV-PETVIASHVILI EQUATION[J]. Journal of Applied Analysis & Computation, 2020, 10(3): 1038-1046. doi: 10.11948/20190183

LUMP SOLUTIONS TO THE GENERALIZED (2+1)-DIMENSIONAL B-TYPE KADOMTSEV-PETVIASHVILI EQUATION

1.
College of Mathematics and Statistics, Ningbo University, Ningbo 315211, Zhejiang, China
2.
School of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
3.
School of Mathematical Sciences, Dezhou University, Dezhou 253000, Shandong, China
4.
College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, Hebei, China
5.
School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, China

Corresponding author: Email address:zzlh100@163.com(L. Zhang)
Fund Project: The authors were supported by Natural Science Foundation of Shandong Province (ZR2017LA012), Science and Technology Program of Colleges and Universities in Shandong (J17KA156), and National Natural Science Foundation of China (11501082)

Abstract

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.
- Lump solution /
- generalized bilinear form /
- B-type KadomtsevPetviashvili equation /
- symbolic computation
MSC: 35Q51, 37K10, 37K40

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References

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