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
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
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页数:7
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