Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation

doi:10.1063/1.1487444

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	Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation
	Liu, TT ; Qin, MZ
	2002-08-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	43 期号:8 页码:4060-4077
摘要	The multisymplectic structure of the KP equation is obtained directly from the variational principal. Using the covariant De Donder-Weyl Hamilton function theories, we reformulate the KP equation to the multisymplectic form which was proposed by Bridges. From the multisymplectic equation, we can derive a multisymplectic numerical scheme of the KP equation which can be simplified to the multisymplectic 45 points scheme. (C) 2002 American Institute of Physics.
DOI	10.1063/1.1487444
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000176907600013
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17942
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, TT
作者单位	1.CCAST, World Lab, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, TT,Qin, MZ. Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2002,43(8):4060-4077.
APA	Liu, TT,&Qin, MZ.(2002).Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation.JOURNAL OF MATHEMATICAL PHYSICS,43(8),4060-4077.
MLA	Liu, TT,et al."Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation".JOURNAL OF MATHEMATICAL PHYSICS 43.8(2002):4060-4077.