摘要
提出 Li Zhuang 族的一种推广,适当选取特征值问题中的参考函数可得到许多新的非线性发展方程族.利用迹的恒等式建立起这些新族的双 Ham ilton 结构. 在 Neum ann 和 Bargm ann 约束下,将特征值问题非线性化为有限维 Ham ilton
An extension of Li Zhuang hierarchy is discussed.We present new problems of a kind,for which many new hierarchies of nonlinear evoluation equations are derived by choosing different reference functions in the eigenvalue problem.The bi Hamiltonian structure of the corresponding hierarchies is obtained by using the trace identity.Under the so called Neumann and Bargmann constraints between the potentials and the eigenfunctions,the eigenvalue problem is nonlinearized as to finite dimensional Hamiltonian systems.
出处
《内蒙古大学学报(自然科学版)》
CAS
CSCD
1999年第5期551-556,共6页
Journal of Inner Mongolia University:Natural Science Edition
基金
河南省自然科学基金
关键词
L-Z族
特征值
非线性
H系统
N系统
B系统
Li Zhuang hierarchy
Hamiltonian structure
Neumann system
Bargmann system