| Functional Variable Separation for Generalized （1＋2）-Dimensional Nonlinear Diffusion Equations |
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| 引用本文： | 张顺利,楼森岳,屈长征.Functional Variable Separation for Generalized （1＋2）-Dimensional Nonlinear Diffusion Equations[J].中国物理快报,2005,22(5):1029-1032. |
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| 作者姓名： | 张顺利 楼森岳 屈长征 |
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| 作者单位： | [1]CenterofNonlinearScienceandDepartmentofPhysics,NingboUniversity,Ningbo315211／／DepartmentofPhysics,Shanghai3iaoTongUniversity,Shanghai200030 [2]DepartmentofMathematics,NorthwestUniversity,Xi＇an710069 [3]CenterofNonlinearScienceandDepartmentofPhysics,NingboUniversity,Ningbo315211／／DepartmentofMathematics,NorthwestUniversity,Xi＇an710069 |
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| 摘 要： | The functional variable separation approach is applied to study the generalized (1 2)-dimensional nonlinear diffusion equations. Complete classification for those equations admitting the functional separable solutions and some such exact solutions are obtained. Consequently, the results reported previously are widely extended.
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| 关 键 词： | 功能变量分离 非线性偏微分方程 扩散函数 精确解 |
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