| 不变子空间方法及一个非线性演化方程的精确解 |
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| 引用本文： | 姜丙利,柳银萍. 不变子空间方法及一个非线性演化方程的精确解[J]. 浙江师范大学学报(自然科学版), 2013, 0(2): 155-160 |
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| 作者姓名： | 姜丙利 柳银萍 |
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| 作者单位： | 华东师范大学计算机科学与技术系,上海200241 |
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| 基金项目： | 国家自然科学基金资助项目（11071274） |
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| 摘 要： | 应用不变子空间方法构造了一个非线性演化方程的精确解,通过分别考虑其2阶和3阶不同的不变子空间,获得了3个具有分离变量形式的精确解.通过和已有的解比较,所得的解都是首次报道的新解.
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| 关 键 词： | 不变子空间方法 精确解 非线性演化方程 广义变量分离 |
The invariant subspace method and exact solutions for a nonlinear evolution equation |
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| JIANG Bingli,LIU Yinping. The invariant subspace method and exact solutions for a nonlinear evolution equation[J]. Journal of Zhejiang Normal University Natural Sciences, 2013, 0(2): 155-160 |
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| Authors: | JIANG Bingli LIU Yinping |
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| Affiliation: | (Department of Computer Science and Technology,East China Normal University,Shanghai 200241,China) |
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| Abstract: | The invariant subspace method was applied to construct exact solutions of a nonlinear evolution equation,and three solutions in the form of separation of variables were successfully obtained with the help of different invariant subspaces.Compared with known solutions,these solutions were first reported new solutions. |
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| Keywords: | invariant subspace method exact solution nonlinear evolution equation separation of variables |
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