摘要
得到了一个带任意函数A_(m-1)的发展方程族和它的矢量场X_m的换位表示以及Lax对,选择特殊的A_(m-1),可得到WKI和Heisenberg方程.又给出了一个经典可积的Hamiltonian系统和WKI方程与这个系统之间以及Heisenberg方程与共焦对合系之间的关系。
In this paper, the authors obtained a evolution equation hierarchy with arbitrary function Am-1, and the commtator representation of its vector field Xm and Lax pair . To electspecial Am-1 the authors obtained WKJ and Heis enberg equation , gave an integrable Hamiltonian system (1R2N, dp∧dq, H0) :
and the relation between WKJ equation and this system and the relation be tween Heisenberg equation and confocal system .
