Application of the polynomial function method to the variable-coefficient Kadomtsev-Petviashvili equation

被引：3

作者：

Wu, Xue-Sha ^{[1
]}

Zhang, Hao-Miao ^{[1
]}

Liu, Jian-Guo ^{[2
]}

机构：

[1] Chongqing Coll Elect Engn, Chongqing 401331, Peoples R China

[2] Jiangxi Univ Chinese Med, Coll Comp, Nanchang 330004, Jiangxi, Peoples R China

来源：

RESULTS IN PHYSICS | 2023年 / 51卷

关键词：

Kadomtsev-Petviashvili equation; Polynomial function method; Fluid mechanics; Lump-soliton solution; Lump-periodic solution; LUMP SOLUTIONS;

D O I：

10.1016/j.rinp.2023.106670

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we research a (2+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid dynamics and plasma physics. The lump, lump-soliton and lump-periodic solutions are derived based on the variable-coefficient polynomial function method. The effect of variable coefficients on the amplitude and velocity of solitons is analyzed and shown by some 3D graphs, contour plots and density graphs.

引用

页数：7

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