The Integrable in Liouville Sense of a Finite-dimensional Hamilton System  

作　　者：ZHU Yun YIN Li 

机构地区：[1]Department of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China

出　　处：《Chinese Quarterly Journal of Mathematics》2011年第1期11-15,共5页数学季刊（英文版）

基　　金：Supported by the NNSF of China(10701066)

摘　　要：Based on a 2 × 2 eigenvalue problem,a set of（1 ＋ 1）-dimensional soliton equations are proposed.Moreover,we obtain a finite dimensional Hamilton system with the help of nonlinearization approach.Then the generating function approach and the way to straighten out of Fm-flow are used to prove the involutivity and the functional independence of conserved integrals for the finite-dimensional Hamilton system,hence,we can verify it is completely integrable in Liouville sense.

关 键 词：（1＋1）-dimension equation Hamilton system the generating function 

分 类 号：O175.29[理学—数学]