On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization
文献类型：期刊论文
| 作者 | Yu, Guo-Fu; Tam, Hon-Wah |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2007-06-15 |
| 卷号 | 330期号:2页码:989-1001 |
| 关键词 | soliton pfaffian Casorati solution Grammian determinant |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2006.08.021 |
| 英文摘要 | In this paper, we first present the Casorati and Grammian determinant solutions to the (2 + 1)-dimensional Gardner equation. Then, by using the pfaffianization procedure of Hirota and Ohta, a new integrable coupled system is generated from the Gardner equation. Moreover, Gramm-type pfaffian solutions to the pfaffianized system are proposed. (c) 2006 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000245639300018 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4871]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yu, Guo-Fu |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing, Peoples R China 3.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yu, Guo-Fu,Tam, Hon-Wah. On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2007,330(2):989-1001. |
| APA | Yu, Guo-Fu,&Tam, Hon-Wah.(2007).On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,330(2),989-1001. |
| MLA | Yu, Guo-Fu,et al."On the (2+1)-dimensional Gardner equation: Determinant solutions and pfaffianization".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 330.2(2007):989-1001. |
入库方式： OAI收割
来源：数学与系统科学研究院
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