驻定Harry-Dym方程解的参数表示

Parametric Representation of the Solution of Stationary Harry-Dym Equation

本文推导出相联于HD（Harry－Dym）A的Lenard递归方程的多项式解，并证明了任一驻定HD方程的解都可由非线性化的HD特征值问题的解表示．

In this paper, the polynomial solution of the Lenard's recursive equation as sociated with Harry-Dym spectral problem is derived. We prove that every solution of stationary Harry-Dym spectral problem is derived. We prove that every solution of stationary Harry-Dym's equation has a parametric representation r = f( ) where is a solution of a Bargmann system obtained through the nonlinearization of the Harry-Dym eigenvalue problem.