Bifurcation Method to Analysis of Traveling Wave Solutions for (3+1)-Dimensional Nonlinear Models Generated by the Jaulent-Miodek Hierarchy
Year: 2018
Author: Yanping Ran, jing Li
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 4 : pp. 304–321
Abstract
In this paper, the third model of four (3+1)-dimensional nonlinear evolution equations, generated by the Jaulent-Miodek hierarchy, is investigated by the bifurcation method of planar dynamical systems. The 2-parameters different bifurcation regions are obtained. According to the different phase portraits in 2-parameters different bifurcation regions, we obtain kink (anti-kink) wave solutions, solitary wave solutions and periodic wave solutions for the third of these models in the different subsets of 4-parameters space by dynamical system method. Furthermore, the explicit exact expressions of these bounded traveling waves are obtained. All these wave solutions are characterized by distinct physical structures.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v31.n4.2
Journal of Partial Differential Equations, Vol. 31 (2018), Iss. 4 : pp. 304–321
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Nonlinear (3+1)-dimensional equation