SOME TRAVELING WAVE SOLITONS OF THE GREEN-NAGHDI SYSTEM

被引：6

作者：

Deng, Shengfu ^{[1
]}

Guo, Boling ^{[1
]}

Wang, Tingchun ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 02期

关键词：

Green-Naghdi system; smooth soliton wave solution; cusp soliton wave solution; smooth periodic wave solution; periodic cusp wave solution; WATER-WAVES; EQUATIONS;

D O I：

10.1142/S0218127411028623

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The traveling wave solutions for an equivalent system of the Green-Naghdi system are considered. The qualitative analysis methods of planar autonomous systems yield their phase portraits. The exact expressions of smooth soliton wave solutions, cusp soliton wave solutions, smooth periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given. These reveal some new properties of the Green-Naghdi system.

引用

页码：575 / 585

页数：11

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