| 驻定Harry—Dym方程解的参数表示 |
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| 引用本文： | 杜殿楼,王鸿业.驻定Harry—Dym方程解的参数表示[J].应用数学,1998,11(3):98-102. |
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| 作者姓名： | 杜殿楼 王鸿业 |
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| 作者单位： | 郑州大学数学系!郑州，450052 |
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| 基金项目： | 国家自然科学基金!19671074 |
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| 摘 要： | 本文推导出相联于ＨＤ（Ｈａｒｒｙ－Ｄｙｍ）族的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比的ＨＤ特征值问题的解表示。
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| 关 键 词： | 驻定方程 参数表示 解 Harry－Dym方程 |
Parametric Representation of the Solution of Stationary Harry-Dym Equation |
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| Du Dianlou,Wang Hongye.Parametric Representation of the Solution of Stationary Harry-Dym Equation[J].Mathematica Applicata,1998,11(3):98-102. |
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| Authors: | Du Dianlou Wang Hongye |
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| Abstract: | 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. |
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| Keywords: | Stationary equation Onto map integrable system Parametric representation |
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