Institutional Repository of Key Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences
Frobenius integrable decompositions of nonlinear evolution equations with modified term | |
Fang, Yong1,2,3; Dong, Huanhe4; Hou, Yijun1,2; Kong, Yuan5; Hou, YJ (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China. | |
2014 | |
发表期刊 | APPLIED MATHEMATICS AND COMPUTATION |
卷号 | 226页码:435-440 |
文章类型 | Article |
摘要 | Frobenius integrable decompositions are introduced for nonlinear evolution equations with modified term. Two classes of polynomial equations with modified term are transformed into Frobenius integrable ordinary differential equations by two special Backlund transformations. The resulting solutions are illustrated to describe the solution phenomena shared with the mKdV equation, Sharma-Tasso-Olver equation, the modified Kawachara equation, the fifth-order KdV equation and its various forms. (C) 2013 Elsevier Inc. All rights reserved. |
关键词 | Frobenius Integrable Decompositions Polynomial Equations Modified Term Backlund Transformations |
学科领域 | Mathematics |
DOI | 10.1016/j.amc.2013.10.047 |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000331496200040 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.qdio.ac.cn/handle/337002/23925 |
专题 | 海洋环流与波动重点实验室 |
通讯作者 | Hou, YJ (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China. |
作者单位 | 1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.Chinese Acad Sci, KLOCAW, Qingdao 266071, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Shandong Univ Sci & Technol, Informat Sch, Qingdao 266510, Peoples R China 5.Huazhong Univ Sci & Technol, Automat Sch, Wuhan 430074, Peoples R China |
第一作者单位 | 中国科学院海洋研究所; 海洋环流与波动重点实验室 |
推荐引用方式 GB/T 7714 | Fang, Yong,Dong, Huanhe,Hou, Yijun,et al. Frobenius integrable decompositions of nonlinear evolution equations with modified term[J]. APPLIED MATHEMATICS AND COMPUTATION,2014,226:435-440. |
APA | Fang, Yong,Dong, Huanhe,Hou, Yijun,Kong, Yuan,&Hou, YJ .(2014).Frobenius integrable decompositions of nonlinear evolution equations with modified term.APPLIED MATHEMATICS AND COMPUTATION,226,435-440. |
MLA | Fang, Yong,et al."Frobenius integrable decompositions of nonlinear evolution equations with modified term".APPLIED MATHEMATICS AND COMPUTATION 226(2014):435-440. |
条目包含的文件 | ||||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
Frobenius integrable(404KB) | 限制开放 | ODC PDDL | 浏览 |
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。
修改评论