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.

引用

页数：10

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