摘要
From a new Lie algebra proposed by Zhang, two expanding Lie algebras and its corresponding loop algebrasare obtained.Two expanding integrable systems are produced with the help of the generalized zero curvature equation.One of them has complex Hamiltion structure with the help of generalized Tu formula (GTM).
基金
Supported by the Natural Science Foundation of China under Grant Nos.60971022,61072147,and 11071159
the Natural Science Foundation of Shanghai under Grant No.09ZR1410800
the Shanghai Leading Academic Discipline Project under Grant No.J50101
the National Key Basic Research Project of China under Grant No.KLMM0806