中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
Variational discretizations for the generalized Rosenau-type equations

文献类型：期刊论文

作者Cai, Wenjun1,3; Sun, Yajuan2; Wang, Yushun3
刊名APPLIED MATHEMATICS AND COMPUTATION
出版日期2015-11-15
卷号271页码:860-873
关键词Lagrangian density Variational integrator Multisymplectic formulation Solitons collision Local conservation law
ISSN号0096-3003
DOI10.1016/j.amc.2015.09.060
英文摘要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.
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
语种英语
WOS记录号WOS:000367819300009
出版者ELSEVIER SCIENCE INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21699]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。