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

共 50 条

[1] New exact solutions to the (2+1)-dimensional Broer-Kaup equation
Zhu, Jiamin
Ma, Zhengyi
CHAOS SOLITONS & FRACTALS, 2007, 34 (02) : 476 - 481
[2] Exact solutions of (2+1)-dimensional stochastic Broer-Kaup equation
Dai, Chaoqing
Chen, Junlang
PHYSICS LETTERS A, 2009, 373 (14) : 1218 - 1225
[3] Exact Solutions and Conservation Laws to the (2+1)-Dimensional Higher Order Broer-Kaup Equations
Yu, Jinqian
Liu, Xiqiang
Lv, Hailing
INTERNATIONAL JOINT CONFERENCE ON APPLIED MATHEMATICS, STATISTICS AND PUBLIC ADMINISTRATION (AMSPA 2014), 2014, : 245 - 253
[4] Dromion and other exact solutions of (2+1)-dimensional Broer-Kaup equation
Xia, TC
Zhang, HQ
CHAOS SOLITONS & FRACTALS, 2003, 16 (01) : 167 - 172
[5] New Explicit Exact Solutions for the(2+1)-Dimensional Higher-Order Broer-Kaup System
BAI Cheng-Lin ZHAO Hong Department of Communication Engineering
CommunicationsinTheoreticalPhysics, 2004, 41 (04) : 521 - 526
[6] Dromion and other exact solutions of (2+1)-dimensional higher-order Broer-Kaup system
Bai, CL
Zhao, H
CZECHOSLOVAK JOURNAL OF PHYSICS, 2004, 54 (09) : 927 - 939
[7] New explicit exact solutions for the (2+1)-dimensional higher-order Broer-Kaup system
Bai, CL
Hong, Z
COMMUNICATIONS IN THEORETICAL PHYSICS, 2004, 41 (04) : 521 - 526
[8] Doubly periodic wave and folded solitary wave solutions for (2+1)-dimensional higher-order Broer-Kaup equation
Huang, Wenhua
Liu, Yulu
Lu, Zhiming
CHAOS SOLITONS & FRACTALS, 2007, 31 (01) : 54 - 63
[9] Periodic Folded Wave Patterns for(2+1)-Dimensional Higher-Order Broer-Kaup Equation
HUANG Wen-Hua College of Science
Communications in Theoretical Physics, 2008, 50 (10) : 827 - 831
[10] Periodic Folded Wave Patterns for (2+1)-Dimensional Higher-Order Broer-Kaup Equation
Huang Wen-Hua
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 50 (04) : 827 - 831

← 1 2 3 4 5 →