A new multi-symplectic scheme for nonlinear "good" Boussinesq equation

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	A new multi-symplectic scheme for nonlinear "good" Boussinesq equation
	Huang, LY ; Zeng, WP ; Qin, MZ
	2003-11-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	21 期号:6 页码:703-714
摘要	The Hamiltonian formulations of the linear "good" Boussinesq (L.G.B.) equation and the multi-symplectic formulation of the nonlinear "good" Boussinesq (N.G.B.) equation are considered. For the multi-symplectic formulation, a new fifteen-point difference scheme which is equivalent to the multi-symplectic Preissmann integrator is derived. We also present numerical experiments, which show that the symplectic and multi-symplectic schemes have excellent long-time numerical behavior.
关键词	nonlinear "good" Boussinesq equation multi-symplectic scheme Preissmann integrator conservation law
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000186851300002
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18536
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, LY
作者单位	1.Huaqiao Univ, Dept Math, Quanzhou 362011, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, LY,Zeng, WP,Qin, MZ. A new multi-symplectic scheme for nonlinear "good" Boussinesq equation[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(6):703-714.
APA	Huang, LY,Zeng, WP,&Qin, MZ.(2003).A new multi-symplectic scheme for nonlinear "good" Boussinesq equation.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(6),703-714.
MLA	Huang, LY,et al."A new multi-symplectic scheme for nonlinear "good" Boussinesq equation".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.6(2003):703-714.