摘要
利用Darboux变换的周期固定点,(1+1)维可积系统的时间和空间的依赖性,可分解为两个可交换的可积的有限维Hamilton系统。本文直接从(1+1)维系统的可积性和Darboux变换性质出发,导出了这些有限维系统的守恒积分的生成函数和可积性。
By means of the periodic fixed points of Darboux transformation, the time-space dependence of (1+1)-dimensional integrable systems can by factored by two commuting and integrable finite-dimensional Hamiltonian systems. The generating function of the integrals of motion and integrability of these systems can be deduced directly from the integrability of(1+1)-dimensional systems and the property of Darboux transformation.
基金
This work supported by the Chinese National Basic Research project "Nonlinear Science."
关键词
周期固定点
哈密顿系统
D变换
periodic fixed points, Darboux transformation, seperation of variables
