On the Exact Traveling Wave Solutions of (2+1)-Dimensional Higher Order Broer-Kaup Equation

被引：2
|
作者：
Li, Jibin [1 ,2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Kunming Univ Sci & Technol, Dept Math, Kunming 650093, Yunnan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2014年 / 24卷 / 01期
基金：
中国国家自然科学基金;
关键词：
(2+1)-dimensional higher order Broer-Kaup equation; exact traveling wave solution; integrable system; kink wave solution; periodic wave solution; SOLITON-LIKE; SYSTEM;
D O I：
10.1142/S0218127414500072
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the dynamical behavior and exact parametric representations of all traveling wave solutions for (2 + 1)-dimensional higher order Broer-Kaup equation. By using the method of dynamical systems, under different parametric conditions, for the solution component U, exact monotonic and nonmonotonic kink wave solutions, two-peak wave solutions, periodic wave solutions, as well as unbounded traveling wave solutions are obtained. Exact wave profiles of traveling wave solutions for all solution components U, V, W, P are shown.
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页数：10
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