TRAVELING WAVE SOLUTIONS OF THE GREEN-NAGHDI SYSTEM

被引：4

作者：

Deng, Shengfu ^{[1
]}

Guo, Boling ^{[2
]}

Wang, Tingchun ^{[3
]}

机构：

[1] Zhanjiang Normal Univ, Dept Math, Zhanjiang 524048, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[3] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 210044, Jiangsu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2013年 / 23卷 / 05期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Green-Naghdi system; smooth solitary wave solutions; solitary cusp wave solutions; smooth periodic wave solutions; periodic cusp wave solutions; WATER; BIFURCATIONS; DERIVATION; EQUATIONS;

D O I：

10.1142/S0218127413500879

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the traveling wave solutions of the Green-Naghdi system. Using the qualitative analysis methods of planar autonomous systems, we show not only its phase portraits but also the exact expressions of some bounded wave solutions. These results are a complement of the work by Deng et al. [2011], which studied the traveling wave solutions of its equivalent system under some conditions.

引用

页数：8

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