THE NEW INTEGRABLE SYSTEM OF THE COMPLEX FORM AND THE COUPLED MKDV HIERARCHY

摘要

In this paper, the new coupled MKdV hierarchy and their Lax pairs are obtained. Through introducing a suitable complex form of symplectic structure [5,8], a new integrable sys- tern of the complex form in the Liouville sense is generated. Moreover, the representations of the solution for the coupled MKdV hierarchy are given by the involutive solutions of the commutable flow [3].