Characteristics of the breathers, rogue waves and solitary waves in a generalized (2+1)-dimensional Boussinesq equation

被引：77
|
作者：
Wang, Xiu-Bin [1 ,2 ]
Tian, Shou-Fu [1 ,2 ,3 ]
Qin, Chun-Yan [1 ,2 ]
Zhang, Tian-Tian [1 ,2 ]
机构：
[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China
[2] China Univ Min & Technol, Ctr Nonlinear Equat, Xuzhou 221116, Peoples R China
[3] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England
来源：
EPL | 2016年 / 115卷 / 01期
基金：
中国博士后科学基金;
关键词：
DE-VRIES EQUATION; SCHRODINGER-EQUATIONS; KDV EQUATION; WATER; SYMMETRIES; SOLITONS;
D O I：
10.1209/0295-5075/115/10002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Under investigation in this work is a generalized (2+1)-dimensional Boussinesq equation, which can be used to describe the propagation of small-amplitude, long wave in shallow water. By virtue of Bell's polynomials, an effective way is presented to succinctly construct its bilinear form. Furthermore, based on the bilinear formalism and the extended homoclinic test method, the breather wave solution, rogue-wave solution and solitary-wave solution of the equation are well constructed. Our results can be used to enrich the dynamical behavior of the generalized (2+1)-dimensional nonlinear wave fields. Copyright (C) EPLA, 2016
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页数：6
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