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Bifurcation of Traveling Wave Solutions for the Joseph—Egri Equation.

Authors :
Liu, Qian
Fan, Feiting
Zhou, Yuqian
Source :
Reports on Mathematical Physics. Apr2019, Vol. 83 Issue 2, p175-190. 16p.
Publication Year :
2019

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00344877
Volume :
83
Issue :
2
Database :
Academic Search Index
Journal :
Reports on Mathematical Physics
Publication Type :
Academic Journal
Accession number :
136444982
Full Text :
https://doi.org/10.1016/S0034-4877(19)30038-2