| 非等谱非线性演化方程族的零曲率表示 |
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| 引用本文： | 丁双双,王廷明.非等谱非线性演化方程族的零曲率表示[J].中国海洋大学学报(自然科学版),2005,35(6):921-922,928. |
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| 作者姓名： | 丁双双 王廷明 |
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| 作者单位： | 1. 中国海洋大学数学系,山东,青岛,266071
2. 青岛大学师范学院数学系,山东,青岛,266071 |
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| 基金项目： | 国家自然科学基金项目（10272068）资助 |
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| 摘 要： | 基于梯度序列提出了1种构造非等谱演化方程族的零曲率方程的方法,作为例子讨论了由谱参数泛函梯度产生梯度序列时的特殊情况.
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| 关 键 词： | 非线性演化方程 梯度序列 零曲率方程 |
| 文章编号： | 1672-5174（2005）06-921-03 |
| 收稿时间： | 2004-11-26 |
| 修稿时间： | 2004-11-262005-03-24 |
The Zero Curvature Representation for Nonisospectral Hierarchies of Evolution Equations |
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| DING Shuang-Shuang,WANG Ting-Ming.The Zero Curvature Representation for Nonisospectral Hierarchies of Evolution Equations[J].Periodical of Ocean University of China,2005,35(6):921-922,928. |
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| Authors: | DING Shuang-Shuang WANG Ting-Ming |
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| Institution: | 1. Department of Mathematics, Ocean University of China, Qingdao 266071, China; 2. Department of Mathematics, Teachers College, Qingdao University, Qingdao 266071, China |
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| Abstract: | In this paper, the zero curvature r tions is obtained by using a gradient sequence. dient of the spectral parameter. A special case epresentation for nonisospectral hierarchies of evolution equa- In which the gradient sequence is given by the functional gra- is considered as an example |
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| Keywords: | nonlinear evolution equation gradient sequence the zero curvature equation |
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