@Article{JPDE-31-4,
author = {Yanping, Ran and jing, Li},
title = {Bifurcation Method to Analysis of Traveling Wave Solutions for (3+1)-Dimensional Nonlinear Models Generated by the Jaulent-Miodek Hierarchy},
journal = {Journal of Partial Differential Equations},
year = {2018},
volume = {31},
number = {4},
pages = {304--321},
abstract = {<p>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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v31.n4.2},
url = {https://global-sci.com/article/88213/bifurcation-method-to-analysis-of-traveling-wave-solutions-for-31-dimensional-nonlinear-models-generated-by-the-jaulent-miodek-hierarchy}
}