Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves

doi:10.1088/1361-6544/ac9a2d

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	Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves
	Pan, Chen 1,2; Yanheng, Ding 1,2; Hua-Yang, Wang 1,2
	2022-12-01
发表期刊	NONLINEARITY
ISSN	0951-7715
卷号	35 期号:12 页码:6422-6452
摘要	Using variational methods, we study the existence of stationary solutions to a periodic nonlinear Dirac-Maxwell system. Firstly, we prove the existence of n-periodic solutions to the system for all positive integers n. Then we use the concentration-compactness argument and the periodic approximation method for obtaining soliton-like solutions. We also investigate the existence of periodic ground states and soliton-like ground states, as well as their connection. Besides, results for the regularity of solutions and decay rate of the soliton-like solutions are given.
关键词	Dirac-Maxwell system variational methods periodic solutions soliton-like solutions ground states
DOI	10.1088/1361-6544/ac9a2d
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China ; [11871242] ; [12031015] ; [12271508]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000880811500001
出版者	IOP Publishing Ltd
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60669
专题	中国科学院数学与系统科学研究院
通讯作者	Pan, Chen; Yanheng, Ding; Hua-Yang, Wang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Pan, Chen,Yanheng, Ding,Hua-Yang, Wang. Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves[J]. NONLINEARITY,2022,35(12):6422-6452.
APA	Pan, Chen,Yanheng, Ding,&Hua-Yang, Wang.(2022).Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves.NONLINEARITY,35(12),6422-6452.
MLA	Pan, Chen,et al."Solutions to a nonlinear Dirac-Maxwell system: from periodic waves to soliton-like waves".NONLINEARITY 35.12(2022):6422-6452.