Dynamics of traveling wave solutions to a highly nonlinear Fujimoto-Watanabe equation

doi:10.1088/1674-1056/28/4/040201

中国物理B ›› 2019, Vol. 28 ›› Issue (4): 40201-040201.doi: 10.1088/1674-1056/28/4/040201

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

Dynamics of traveling wave solutions to a highly nonlinear Fujimoto-Watanabe equation

Li-Juan Shi(师利娟), Zhen-Shu Wen(温振庶)

Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

收稿日期:2018-12-27 修回日期:2019-01-31 出版日期:2019-04-05 发布日期:2019-04-05
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 Nos. 11701191 and 11871232), the Program for Innovative Research Team in Science and Technology in University of Fujian Province, Quanzhou High-Level Talents Support Plan (Grant No. 2017ZT012), and the Subsidized Project for Cultivating Postgraduates' Innovative Ability in Scientific Research of Huaqiao University.

Dynamics of traveling wave solutions to a highly nonlinear Fujimoto-Watanabe equation

Li-Juan Shi(师利娟), Zhen-Shu Wen(温振庶)

Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China

Received:2018-12-27 Revised:2019-01-31 Online:2019-04-05 Published:2019-04-05
Contact: Zhen-Shu Wen E-mail:wenzhenshu@hqu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11701191 and 11871232), the Program for Innovative Research Team in Science and Technology in University of Fujian Province, Quanzhou High-Level Talents Support Plan (Grant No. 2017ZT012), and the Subsidized Project for Cultivating Postgraduates' Innovative Ability in Scientific Research of Huaqiao University.

摘要/Abstract

摘要：

In this work, we apply the bifurcation method of dynamical systems to investigate the underlying complex dynamics of traveling wave solutions to a highly nonlinear Fujimoto-Watanabe equation. We identify all bifurcation conditions and phase portraits of the system in different regions of the three-dimensional parametric space, from which we present the sufficient conditions to guarantee the existence of traveling wave solutions including solitary wave solutions, periodic wave solutions, kink-like (antikink-like) wave solutions, and compactons. Furthermore, we obtain their exact expressions and simulations, which can help us understand the underlying physical behaviors of traveling wave solutions to the equation.

关键词: highly nonlinear Fujimoto-Watanabe equation, dynamics, traveling wave solutions, bifurcations

Abstract:

Key words: highly nonlinear Fujimoto-Watanabe equation, dynamics, traveling wave solutions, 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)

师利娟, 温振庶. Dynamics of traveling wave solutions to a highly nonlinear Fujimoto-Watanabe equation[J]. 中国物理B, 2019, 28(4): 40201-040201.

Li-Juan Shi(师利娟), Zhen-Shu Wen(温振庶). Dynamics of traveling wave solutions to a highly nonlinear Fujimoto-Watanabe equation[J]. Chin. Phys. B, 2019, 28(4): 40201-040201.

参考文献 19

[1]	Fujimoto A and Watanabe Y 1989 Phys. Lett. A 136 294 doi: 10.1016/0375-9601(89)90820-7
[2]	Shiohama K 1989 Geometry of Manifolds (Academic Press)
[3]	Sakovich S 1991 J. Phys. A: Math. Gen. 24 L519
[4]	Sakovich S 2011 J. Math. Phys. 52 023509 doi: 10.1063/1.3548837
[5]	Shi L J and Wen Z S 2018 Commun. Theor. Phys. 69 631 doi: 10.1088/0253-6102/69/6/631
[6]	Wen Z S and Shi L J 2018 Chin. Phys. B 27 090201 doi: 10.1088/1674-1056/27/9/090201
[7]	Wen Z S, Liu Z R and Song M 2009 Appl. Math. Comput. 215 2349
[8]	Wen Z S and Liu Z R 2011 Nonlinear Anal. Real. 12 1698 doi: 10.1016/j.nonrwa.2010.11.002
[9]	Biswas A and Song M 2013 Commun. Nonlinear Sci. 18 1676 doi: 10.1016/j.cnsns.2012.11.014
[10]	Chen A Y, Wen S Q, Tang S Q, Huang W T and Qiao Z J 2015 Stud. Appl. Math. 134 24 doi: 10.1111/sapm.12060
[11]	Pan C H and Yi Y T 2015 J. Nonlinear Math. Phys. 22 308 doi: 10.1080/14029251.2015.1033243
[12]	Wen Z S 2017 Nonlinear Dyn. 87 1917 doi: 10.1007/s11071-016-3162-x
[13]	Wen Z S 2017 Int. J. Bifurcat. Chaos 27 1750114 doi: 10.1142/S0218127417501140
[14]	Li J B and Qiao Z J 2012 Int. J. Bifurcat. Chaos 22 12500305
[15]	Wen Z S 2014 Nonlinear Dyn. 77 849 doi: 10.1007/s11071-014-1346-9
[16]	Wen Z S and Shi L J 2018 Dyn. Syst. Appl. 27 581
[17]	Liu Z R and Long Y 2007 Nonlinear Anal. Real. 8 136 doi: 10.1016/j.nonrwa.2005.06.005
[18]	Wen Z S 2015 Nonlinear Dyn. 82 767 doi: 10.1007/s11071-015-2195-x
[19]	Li S Y and Liu Z R 2015 Nonlinear Dyn. 79 903 doi: 10.1007/s11071-014-1710-9

Dynamics of traveling wave solutions to a highly nonlinear Fujimoto-Watanabe equation

Dynamics of traveling wave solutions to a highly nonlinear Fujimoto-Watanabe equation

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 19

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Liping Zhang(张丽萍), Zuyu Xu(徐祖雨), Xiaojie Li(黎晓杰), Xu Zhang(张旭), Mingyang Qin(秦明阳), Ruozhou Zhang(张若舟), Juan Xu(徐娟), Wenxin Cheng(程文欣), Jie Yuan(袁洁), Huabing Wang(王华兵), Alejandro V. Silhanek, Beiyi Zhu(朱北沂), Jun Miao(苗君), and Kui Jin(金魁). Cascade excitation of vortex motion and reentrant superconductivity in flexible Nb thin films[J]. 中国物理B, 2023, 32(4): 47302-047302.
[2]	Z W Liang(梁正伟), P Wu(吴平), L C Wang(王利晨), B G Shen(沈保根), and Zhi-Hong Wang(王志宏). Conductive path and local oxygen-vacancy dynamics: Case study of crosshatched oxides[J]. 中国物理B, 2023, 32(4): 47303-047303.
[3]	Cong-Min Ji(祭聪敏), Yusong Tu(涂育松), and Yuan-Yan Wu(吴园燕). Heterogeneous hydration patterns of G-quadruplex DNA[J]. 中国物理B, 2023, 32(2): 28702-028702.
[4]	Tao-Wen Xiong(熊涛文), Xiao-Ping Chen(陈小平), Ye-Ping Lin(林也平), Xin-Fu He(贺新福), Wen Yang(杨文), Wang-Yu Hu(胡望宇), Fei Gao(高飞), and Hui-Qiu Deng(邓辉球). Molecular dynamics study of interactions between edge dislocation and irradiation-induced defects in Fe–10Ni–20Cr alloy[J]. 中国物理B, 2023, 32(2): 20206-020206.
[5]	Peng Xu(许鹏), Ran Zhang(张然), and Sheng-Mei Zhao(赵生妹). Realization of the iSWAP-like gate among the superconducting qutrits[J]. 中国物理B, 2023, 32(2): 20306-020306.
[6]	Zilin Wang(王梓霖), Liang Yang(杨亮), Changsheng Liu(刘长生), and Shiwei Lin(林仕伟). Formation of nanobubbles generated by hydrate decomposition: A molecular dynamics study[J]. 中国物理B, 2023, 32(2): 23101-023101.
[7]	Qing-Qin Zou(邹青钦), Shuang Lei(雷双), Zhang-Yong Li(李章勇), and Dui Qin(秦对). Effects of adjacent bubble on spatiotemporal evolutions of mechanical stresses surrounding bubbles oscillating in tissues[J]. 中国物理B, 2023, 32(1): 14302-014302.
[8]	Ding-Zong Zhang(张定宗), Xu-Ming Feng(冯旭铭), Jun Ma(马骏), Wen-Feng Guo(郭文峰), Yan-Qing Huang(黄艳清), and Hong-Bo Liu(刘洪波). Linear analysis of plasma pressure-driven mode in reversed shear cylindrical tokamak plasmas[J]. 中国物理B, 2023, 32(1): 15201-015201.
[9]	Long Zhou(周龙), Xu-Long Zhang(张旭龙), Yu-Ying Cao(曹玉莹), Fu Zheng(郑富), Hua Gao(高华), Hong-Fei Liu(刘红飞), and Zhi Ma(马治). Prediction of flexoelectricity in BaTiO₃ using molecular dynamics simulations[J]. 中国物理B, 2023, 32(1): 17701-017701.
[10]	Mengjiao Wu(吴梦娇), Huishu Ma(马慧姝), Haiping Fang(方海平), Li Yang(阳丽), and Xiaoling Lei(雷晓玲). Adsorption dynamics of double-stranded DNA on a graphene oxide surface with both large unoxidized and oxidized regions[J]. 中国物理B, 2023, 32(1): 18701-018701.
[11]	Tzu-Chia Chen, Mahyuddin KM Nasution, Abdullah Hasan Jabbar, Sarah Jawad Shoja, Waluyo Adi Siswanto, Sigiet Haryo Pranoto, Dmitry Bokov, Rustem Magizov, Yasser Fakri Mustafa, A. Surendar, Rustem Zalilov, Alexandr Sviderskiy, Alla Vorobeva, Dmitry Vorobyev, and Ahmed Alkhayyat. Effect of spatial heterogeneity on level of rejuvenation in Ni₈₀P₂₀ metallic glass[J]. 中国物理B, 2022, 31(9): 96401-096401.
[12]	Zhen Liu(刘震), Zi-Xuan Yang(杨子萱), Chuan Xu(徐川), Jia-Ji Zhao(赵嘉佶), Lu-Junyu Wang(王陆君瑜), Yun-Qi Fu(富云齐), Xue-Lei Liang(梁学磊), Hui-Ming Cheng(成会明), Wen-Cai Ren(任文才), Xiao-Song Wu(吴孝松), and Ning Kang(康宁). Finite superconducting square wire-network based on two-dimensional crystalline Mo₂C[J]. 中国物理B, 2022, 31(9): 97404-097404.
[13]	Hanghang Chen(陈航航), Zijiang Yang(杨紫江), and Maodu Chen(陈茂笃)^†. State-to-state integral cross sections and rate constants for the N⁺(³P)+HD→NH⁺/ND⁺+D/H reaction: Accurate quantum dynamics studies[J]. 中国物理B, 2022, 31(9): 98204-098204.
[14]	Xinwen Ma(马新文), Shaofeng Zhang(张少锋), Weiqiang Wen(汶伟强), Zhongkui Huang(黄忠魁), Zhimin Hu(胡智民), Dalong Guo(郭大龙), Junwen Gao(高俊文), Bennaceur Najjari, Shenyue Xu(许慎跃), Shuncheng Yan(闫顺成), Ke Yao(姚科), Ruitian Zhang(张瑞田), Yong Gao(高永), and Xiaolong Zhu(朱小龙). Atomic structure and collision dynamics with highly charged ions[J]. 中国物理B, 2022, 31(9): 93401-093401.
[15]	Long Lin(林龙), Tong-Gang Jia(贾铜钢), Zhi-Bin Wang(王志斌), and Peng-Cheng Li(李鹏程). Probing subcycle spectral structures and dynamics of high-order harmonic generation in crystals[J]. 中国物理B, 2022, 31(9): 93202-093202.