Variational discretizations for the generalized Rosenau-type equations

doi:10.1016/j.amc.2015.09.060

	Variational discretizations for the generalized Rosenau-type equations
	Cai, Wenjun 1,3; Sun, Yajuan2 ; Wang, Yushun 3
	2015-11-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	271 页码:860-873
摘要	The generalized Rosenau-type equations include the Rosenau-RLW equation and the Rosenau-KdV equation, which both admit the third order Lagrangians. In the Lagrangian framework, this paper presents the variational formulations of the generalized Rosenau-type equations as well as their multisymplectic structures. Based on the discrete variational principle, we construct the variational discretizations for solving the evolutions of solitary solutions of this class of equations. We simulate the motion of the single solitary wave, and also observe the different kind of collisions for the generalized Rosenau-type equations with various coefficients. (C) 2015 Elsevier Inc. All rights reserved.
关键词	Lagrangian density Variational integrator Multisymplectic formulation Solitons collision Local conservation law
DOI	10.1016/j.amc.2015.09.060
语种	英语
资助项目	Foundation of the NNSFC[60931002] ; Foundation of the NNSFC[11271357] ; Foundation of the NNSFC[11271195] ; Foundation of the NNSFC[11271196] ; Foundation of the NNSFC[41504078] ; National Basic Research Program of China[2010CB832702] ; Foundation for Innovative Research Groups of the NNSFC[11321061] ; ITER-China Program[2014GB124005]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000367819300009
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21700
专题	计算数学与科学工程计算研究所
通讯作者	Sun, Yajuan
作者单位	1.Univ Chinese Acad Sci, Key Lab Computat Geodynam, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Nanjing Normal Univ, Sch Math Sci, Jiangsu Prov Key Lab NSLSCS, Nanjing 210046, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Cai, Wenjun,Sun, Yajuan,Wang, Yushun. Variational discretizations for the generalized Rosenau-type equations[J]. APPLIED MATHEMATICS AND COMPUTATION,2015,271:860-873.
APA	Cai, Wenjun,Sun, Yajuan,&Wang, Yushun.(2015).Variational discretizations for the generalized Rosenau-type equations.APPLIED MATHEMATICS AND COMPUTATION,271,860-873.
MLA	Cai, Wenjun,et al."Variational discretizations for the generalized Rosenau-type equations".APPLIED MATHEMATICS AND COMPUTATION 271(2015):860-873.