Bifurcation Method to Analysis of Traveling Wave Solutions for (3+ 1)-Dimensional Nonlinear Models Generated by the Jaulent-Miodek Hierarchy

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Nonlinear (3+1)-dimensional equation Bifurcation method traveling wave solution
• 年，卷（期）: 2018,（4）
• 页码范围: 304-321
• 页数: 18页
• 分类号: O175.29
• 语种: 英文
• DOI: 10.4208/jpde.v31.n4.2

摘要

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.