Two integrable coupled nonlinear systems
文献类型：期刊论文
| 作者 | Tam, HT; Hu, XB; Wang, DL |
| 刊名 | JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
 |
| 出版日期 | 1999-02-01 |
| 卷号 | 68期号:2页码:369-379 |
| 关键词 | solitons integrable systems Hirota's method Backlund transformation superposition principle |
| ISSN号 | 0031-9015 |
| 英文摘要 | Motivated by Hirota and Satsuma's results on their coupled KdV equation, two integrable coupled nonlinear systems are considered. One of them is a coupled Ito system. It is shown that the coupled Ito system is a special case of the (6,2)-reduction of the two component BKP hierarchy while the other coupled system can be obtained from the (5,1)-reduction of the two component BKP hierarchy. By using MATHEMATICA, we obtain the 3- and 4-soliton solutions of the coupled Ito system. In addition, starting from bilinear equations of the other coupled system, a Backlund transformation is found and nonlinear superposition formulae are established. Soliton solutions and rational solutions are also derived from these results. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000078967400012 |
| 出版者 | PHYSICAL SOC JAPAN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14744]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tam, HT |
| 作者单位 | 1.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Peoples R China 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tam, HT,Hu, XB,Wang, DL. Two integrable coupled nonlinear systems[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,1999,68(2):369-379. |
| APA | Tam, HT,Hu, XB,&Wang, DL.(1999).Two integrable coupled nonlinear systems.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,68(2),369-379. |
| MLA | Tam, HT,et al."Two integrable coupled nonlinear systems".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 68.2(1999):369-379. |
入库方式： OAI收割
来源：数学与系统科学研究院
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