KMS Of Academy of mathematics and systems sciences, CAS
| Lie symmetries of soliton equations with self-consistent sources via source generation procedure | |
| Hu, Juan1,2; Qian, Xian-Min3; Tam, Hon-Wah4 | |
| 2009-09-01 | |
| Source Publication | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| ISSN | 0022-247X |
| Volume | 357Issue:1Pages:201-213 |
| Abstract | In this paper, the 'source generation' procedure (SGP) proposed by Hu and Wang [X.B. Hu, H.Y. Wang, Construction of dKP and BKP equation with self-consistent Sources, Inverse Problems 22 (2006) 1903-1920] is utilized to derive Lie symmetries of bilinear soliton equations with self-consistent sources (SESCS) such as KPESCS, BKPESCS. and differential-difference KPESCS. Furthermore, it is shown that these Lie symmetries constitute generators of the corresponding Lie symmetry algebras. (C) 2009 Elsevier Inc. All rights reserved. |
| Keyword | KP equation Sawada-Kotera (SK) equation Differential-difference KP equation Lie symmetries Self-consistent sources Source generation procedure |
| DOI | 10.1016/j.jmaa.2009.03.070 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[10771207] ; Institute of Computational Math. ; AMSS ; Hong Kong Baptist University[FRG/07-08/1-54] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000266507400020 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/8824 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Hu, Juan |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100190, Peoples R China 3.Shaoxing Coll Arts & Sci, Dept Phys, Shaoxing 312000, Peoples R China 4.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon Tong, Hong Kong, Peoples R China |
| Recommended Citation GB/T 7714 | Hu, Juan,Qian, Xian-Min,Tam, Hon-Wah. Lie symmetries of soliton equations with self-consistent sources via source generation procedure[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2009,357(1):201-213. |
| APA | Hu, Juan,Qian, Xian-Min,&Tam, Hon-Wah.(2009).Lie symmetries of soliton equations with self-consistent sources via source generation procedure.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,357(1),201-213. |
| MLA | Hu, Juan,et al."Lie symmetries of soliton equations with self-consistent sources via source generation procedure".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 357.1(2009):201-213. |
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