Dynamical behaviors of traveling wave solutions to a Fujimoto-Watanabe equation

doi:10.1088/1674-1056/27/9/090201

中国物理B ›› 2018, Vol. 27 ›› Issue (9): 90201-090201.doi: 10.1088/1674-1056/27/9/090201

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 下一篇

Dynamical behaviors of traveling wave solutions to a Fujimoto-Watanabe equation

Zhen-Shu Wen(温振庶), Li-Juan Shi(师利娟)

School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

收稿日期:2018-05-26 修回日期:2018-06-24 出版日期:2018-09-05 发布日期:2018-09-05
通讯作者: Zhen-Shu Wen E-mail:wenzhenshu@hqu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11701191) and Subsidized Project for Cultivating Postgraduates' Innovative Ability in Scientific Research of Huaqiao University, China.

Dynamical behaviors of traveling wave solutions to a Fujimoto-Watanabe equation

Zhen-Shu Wen(温振庶), Li-Juan Shi(师利娟)

School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

Received:2018-05-26 Revised:2018-06-24 Online:2018-09-05 Published:2018-09-05
Contact: Zhen-Shu Wen E-mail:wenzhenshu@hqu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11701191) and Subsidized Project for Cultivating Postgraduates' Innovative Ability in Scientific Research of Huaqiao University, China.

摘要/Abstract

摘要：

We study dynamical behaviors of traveling wave solutions to a Fujimoto-Watanabe equation using the method of dynamical systems. We obtain all possible bifurcations of phase portraits of the system in different regions of the three-dimensional parameter space. Then we show the required conditions to guarantee the existence of traveling wave solutions including solitary wave solutions, periodic wave solutions, kink-like (antikink-like) wave solutions, and compactons. Moreover, we present exact expressions and simulations of these traveling wave solutions. The dynamical behaviors of these new traveling wave solutions will greatly enrich the previews results and further help us understand the physical structures and analyze the propagation of nonlinear waves.

关键词: dynamical behaviors, traveling wave solutions, Fujimoto-Watanabe equation, bifurcations

Abstract:

Key words: dynamical behaviors, traveling wave solutions, Fujimoto-Watanabe equation, bifurcations

中图分类号: (Ordinary differential equations)

02.30.Hq

02.30.Oz (Bifurcation theory) 05.45.Yv (Solitons) 05.45.-a (Nonlinear dynamics and chaos)

温振庶, 师利娟. Dynamical behaviors of traveling wave solutions to a Fujimoto-Watanabe equation[J]. 中国物理B, 2018, 27(9): 90201-090201.

Zhen-Shu Wen(温振庶), Li-Juan Shi(师利娟). Dynamical behaviors of traveling wave solutions to a Fujimoto-Watanabe equation[J]. Chin. Phys. B, 2018, 27(9): 90201-090201.

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Dynamical behaviors of traveling wave solutions to a Fujimoto-Watanabe equation

Dynamical behaviors of traveling wave solutions to a Fujimoto-Watanabe equation

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