A new high-order spectral problem of the mKdV and its associated integrable decomposition

A new high-order spectral problem of the mKdV and its associated integrable decomposition

Ji Jie;Yao Yu-Qin;Yu Jing;Liu Yu-Qing

【期刊名称】《中国物理：英文版》 【年(卷),期】2007(016)002

【摘要】A new approach to formulizing a new high-order matrix spectral problem from a normal 2 × 2 matrix modified Korteweg-de Vries (mKdV) spectral problem is presented. It is found that the isospectral evolution equation hierarchy of this new higher-order matrix spectral problem turns out to be the well-known mKdV equation hierarchy. By using the binary nonlinearization method, a new integrable decomposition of the mKdV equation is obtained in the sense of Liouville. The proof of the integrability shows that r-matrix structure is very interesting. 【总页数】7页(296-302)

【关键词】spectral problem;integrable decomposition;mKdV equation hierarchy

【作者】Ji Jie;Yao Yu-Qin;Yu Jing;Liu Yu-Qing

【作者单位】Department of Mathematics, Shanghai University, Shanghai 200444, China;Department of Mathematics, Shanghai University, Shanghai 200444, China;Department of Mathematics, University of Science and Technology of China, Hefei 230026, China;Department of