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

• 来源期刊: 中国物理（英文版）
• 关键词: spectral problem integrable decomposition mKdV equation hierarchy
• 年，卷（期）: 2007,（2）
• 页码范围: 296-302
• 页数: 7页
• 语种: 英文

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.