摘要
讨论了与能量依赖速度的二阶特征值问题相联系的有限维系统的可积性,利用位势函数与特征函数之间的Bargmann约束,将Lax对非线性化,得到新的有限维Ham ilton正则系统,最后借助于Liouville意义下的完全可积系的对合解得到发展方程族的对合表示。
In this paper, the integrability which a finite-dimensional Hamihonian system is associated with a second-order spectral problem with the speed energy is discussed. Moreover, according to the Bargmann constraint between the potential function and the eigenfunction , the Lax pairs are nonlinearized, Then based on the involutive solution of completely integrable Hamihonian system in Liouville sense, the involutive solutions of the evolution equations are given.
关键词
谱问题
可积系统
对合表示
spectral problem
integrable problem
involutive representation
