| Group Foliation Method and Functional Separation of Variables to Nonlinear Diffusion Equations |
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| 作者姓名： | 屈长征 张顺利 |
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| 作者单位： | [1]CenterforNonlinearStudies,NorthwestUniversity,Xi＇an710069 [2]DepartmentofMathematics,NorthwestUniversity,Xi＇an710069 |
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| 摘 要： | Generalized functional separation of variables to nonlinear diffusion equations is studied in terms of the extended group foliation method. A complete classification for the nonlinear diffusion equation with source term which admits functional separable solutions is presented.
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| 关 键 词： | 非线性扩散函数 叶状结构群 变量分离法 数学物理方程 |
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