KMS Of Academy of mathematics and systems sciences, CAS
| Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation | |
| Yu, Guo-Fu1; Hu, Xing-Biao2 | |
| 2009-09-01 | |
| Source Publication | MATHEMATICS AND COMPUTERS IN SIMULATION
 |
| ISSN | 0378-4754 |
| Volume | 80Issue:1Pages:184-191 |
| Abstract | In this paper, we would give a broad set of sufficient conditions of systems of linear partial differential equations which guarantee that the Grammian determinant solves the KP (Kadomtsev-Petviashvili) equation in the bilinear form. A systematic analysis of linear partial differential equations is made for solving the resultant linear systems. A special method is constructed to solve the representative system. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved. |
| Keyword | Solitons Pfaffian Grammian determinant Kadomtsev-Petviashvili equation |
| DOI | 10.1016/j.matcom.2009.06.006 |
| Language | 英语 |
| WOS Research Area | Computer Science ; Mathematics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied |
| WOS ID | WOS:000271103800021 |
| Publisher | ELSEVIER SCIENCE BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/7320 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yu, Guo-Fu |
| Affiliation | 1.Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China 2.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Yu, Guo-Fu,Hu, Xing-Biao. Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation[J]. MATHEMATICS AND COMPUTERS IN SIMULATION,2009,80(1):184-191. |
| APA | Yu, Guo-Fu,&Hu, Xing-Biao.(2009).Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation.MATHEMATICS AND COMPUTERS IN SIMULATION,80(1),184-191. |
| MLA | Yu, Guo-Fu,et al."Extended Gram-type determinant solutions to the Kadomtsev-Petviashvili equation".MATHEMATICS AND COMPUTERS IN SIMULATION 80.1(2009):184-191. |
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