摘要
由一个3×3谱问题得出与之对应的Loop孤子方程,通过将其非线性化,产生一个Lie-Poisson结构下的Hamiltonian系统,并运用母函数法证明此Hamiltonian系统是可积的.
A 3 × 3 spectral problem and its related Loop solition equation are presented. The corresponding nonlinearized one, a generalized Hamiltonian system with a Lie-Poisson structure is also obtained. Further, the integrability of this Hamiltonian system is proved by making use of generating function method.
出处
《郑州轻工业学院学报(自然科学版)》
CAS
2005年第3期119-121,共3页
Journal of Zhengzhou University of Light Industry:Natural Science
基金
The Natural Science Foundation of He'nan Province(2004110006)
The Foundation of Zhengzhou Univ.of Light Ind.(2004XJJ013)