integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation
文献类型：期刊论文
| 作者 | Zhang Yingnan2; Chang Xiangke2; Hu Juan1; Hu Xingbiao2 ; Tam Hon Wah3
|
| 刊名 | sciencechinamathematics
 |
| 出版日期 | 2015 |
| 卷号 | 58期号:2页码:279 |
| ISSN号 | 1674-7283 |
| 英文摘要 | We present a systematic procedure to derive discrete analogues of integrable PDEs via Hirota's bilinear method. This approach is mainly based on the compatibility between an integrable system and its Backlund transformation. We apply this procedure to several equations, including the extended Korteweg-de-Vries (KdV) equation, the extended Kadomtsev-Petviashvili (KP) equation, the extended Boussinesq equation, the extended Sawada-Kotera (SK) equation and the extended Ito equation, and obtain their associated semi-discrete analogues. In the continuum limit, these differential-difference systems converge to their corresponding smooth equations. For these new integrable systems, their Backlund transformations and Lax pairs are derived. |
| 资助项目 | [National Natural Science Foundation of China] ; [Hong Kong Baptist University Faculty Research] ; [Hong Kong Research Grant Council] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/47038]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 作者单位 | 1.浙江工业大学 2.中国科学院数学与系统科学研究院 3.香港浸会大学 |
| 推荐引用方式 GB/T 7714 | Zhang Yingnan,Chang Xiangke,Hu Juan,et al. integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation[J]. sciencechinamathematics,2015,58(2):279. |
| APA | Zhang Yingnan,Chang Xiangke,Hu Juan,Hu Xingbiao,&Tam Hon Wah.(2015).integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation.sciencechinamathematics,58(2),279. |
| MLA | Zhang Yingnan,et al."integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation".sciencechinamathematics 58.2(2015):279. |
入库方式： OAI收割
来源：数学与系统科学研究院
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