|
|||||
|
|
A new high-order spectral problem of the mKdV and its associated integrable decomposition |
|
| Authors: | Ji Jie Yao Yu-Qin Yu Jing Liu Yu-Qing |
| Affiliation: | Department of Mathematics, Shanghai University, Shanghai 200444, China; Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; Department of Information Science, Jiangsu Polytechnic University, Changzhou 213016, China |
| Abstract: | A new approach to formulizing a new high-order matrix spectralproblem from a normal 2× 2 matrix modified Korteweg--de Vries(mKdV) spectral problem is presented. It is found that theisospectral evolution equation hierarchy of this new higher-ordermatrix spectral problem turns out to be the well-known mKdV equationhierarchy. By using the binary nonlinearization method, a newintegrable decomposition of the mKdV equation is obtained in thesense of Liouville. The proof of the integrability shows thatr-matrix structure is very interesting. |
| Keywords: | spectral problem integrabledecomposition mKdV equation hierarchy |
| 本文献已被 维普 等数据库收录！ | |
| 点击此处可从《中国物理》浏览原始摘要信息 | |
| 点击此处可从《中国物理》下载免费的PDF全文 | |