BIFURCATION OF TRAVELING WAVE SOLUTIONS FOR THE JOSEPH-EGRI EQUATION

被引：3

作者：

Fan, Feiting ^{[1
]}

Zhou, Yuqian ^{[1
]}

Liu, Qian ^{[2
]}

机构：

[1] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China

[2] Southwest Minzu Univ, Sch Comp Sci & Technol, Chengdu 610041, Sichuan, Peoples R China

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2019年 / 83卷 / 02期

基金：

中国博士后科学基金;

关键词：

Joseph-Egri equation; bifurcation; traveling wave; dynamical system; elliptic integral; traveling wave solution; MODEL-EQUATIONS; LONG WAVES;

D O I：

10.1016/S0034-4877(19)30038-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The bifurcation method of dynamical system is applied to study traveling waves of the Joseph-Egri equation. The phase space geometry of traveling wave system of the Joseph-Egri equation is investigated in detail. We obtain the parameter bifurcation sets in which various bounded and unbounded orbits are identified and simulated. Furthermore, by the calculation of complicated elliptic integrals, exact expressions of all traveling wave solutions of the Joseph-Egri equation are given, including bounded and unbounded ones.

引用

页码：175 / 190

页数：16

共 19 条

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