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High order symplectic schemes for the sine-Gordon equation

文献类型：期刊论文

作者Wang, YS; Wang, B; Ji, ZZ; Qin, MZ
刊名JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
出版日期2003-11-01
卷号72期号:11页码:2731-2736
关键词sine-Gordon equation high order symplectic scheme generating function method variation derivative
ISSN号0031-9015
DOI10.1143/JPSJ.72.2731
英文摘要In this paper, taking the sine-Gordon equation as an example, we present a new method to construct the symplectic schemes for Hamilton PDEs. Different from the previous symplectic methods dealing with PDEs, our method is that to view the PDEs as a Hamilton system in Banach space, then to apply the generating functions method to the Hamilton system. After overcoming successfully the essential difficulties on the calculations of high order variation derivatives, we get the semi-discrete difference schemes for the PDEs with arbitrary order of accuracy in time direction. Furthermore the corresponding modified equations of the infinite dimensional Hamiltonian system are obtained from the semidiscretization. We use the central difference operators to discretize the derivatives in space. Thus the resulting full discrete symplectic schemes can be of any order accuracy. Numerical results on collisions of solitons are also presented to show the effectiveness of the schemes.
WOS研究方向Physics
语种英语
WOS记录号WOS:000186914400009
出版者PHYSICAL SOC JAPAN
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/19118]  
专题中国科学院数学与系统科学研究院
通讯作者Wang, YS
作者单位1.Chinese Acad Sci, Lasg, Inst Atmospher Phys, Beijing 100029, Peoples R China
2.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
3.Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Wang, YS,Wang, B,Ji, ZZ,et al. High order symplectic schemes for the sine-Gordon equation[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2003,72(11):2731-2736.
APA Wang, YS,Wang, B,Ji, ZZ,&Qin, MZ.(2003).High order symplectic schemes for the sine-Gordon equation.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,72(11),2731-2736.
MLA Wang, YS,et al."High order symplectic schemes for the sine-Gordon equation".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 72.11(2003):2731-2736.

入库方式： OAI收割

来源：数学与系统科学研究院

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