一个有限维完全可积系统——耦合HD方程Lax对的非线性化

A Finite-dimensienal Completely Integrable System—The Nonlinearization of the Lax pair of Coupled HD Equations

在位势与特征函数的Bargmann约束下,耦合Harry Dym方程族的Lax对的空间部分q_(xx)+(λu+λ~2v-α)q=0和时间部分均被非线性化为辛空间(R^(2n)dp∧dq)中的Liouville完全可积系统。

Under the Bargmann constraint between the potentials and eigenfunctions, the spatial partq_(xx)+(λu+λ~2v-α)q=0 and the time part of the Lax pair of coupled Harry Dym equations are all non-linearized to be completely integrable systems in Liouville sense in the symplectic space (R^(2N), dp ∧dq).