Backlund transformations and soliton solutions for a (3+1)-dimensional B-type Kadomtsev-Petviashvili equation in fluid dynamics

被引：0
|
作者：
Huang, Zhi-Ruo [1 ,2 ]
Tian, Bo [1 ,2 ]
Zhen, Hui-Ling [1 ,2 ]
Jiang, Yan [1 ,2 ]
Wang, Yun-po [1 ,2 ]
Sun, Ya [1 ,2 ]
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 80卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
(3+1)-Dimensional B-type Kadomtsev-Petviashvili equation; Hirota method; Bell polynomials; Soliton solutions; Backlund transformations; DE-VRIES EQUATION; LATTICE; WAVES;
D O I：
10.1007/s11071-014-1321-5
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
A (3+1)-dimensional B-type Kadomtsev-Petviashvili equation, which can be applied to describe the propagation of non-linear waves in fluid dynamics, is under investigation in this paper. Based on the binary Bell polynomials, Hirota method, and symbolic computation, the bilinear form is obtained. Backlund transformations are derived in the Bell-polynomial and bilinear forms. Besides, one-and two-soliton solutions are presented. The only coefficient in the equation can affect the soliton structure. Soliton shapes keep unchanged after the elastic interaction and they maintain their original directions and amplitudes except for some phase shifts.
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收藏
页码：1 / 7
页数：7
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