| 带有扰动非线性源的多孔介质方程的近似泛函分离变量 |
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| 引用本文： | 吉飞宇,张顺利.带有扰动非线性源的多孔介质方程的近似泛函分离变量[J].物理学报,2012,61(8):80202-080202. |
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| 作者姓名： | 吉飞宇 张顺利 |
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| 作者单位： | 西北大学数学系,西安,710069 |
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| 基金项目： | 国家自然科学基金(批准号: 10671156)和 陕西省自然科学基金( 批准号: SJ08A05)资助的课题. |
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| 摘 要： | 讨论了带有扰动非线性源的多孔介质方程的近似泛函分离变量问题. 给出了该类方程容许近似泛函分离变量解的完全分类. 举例阐述了近似泛函分离变量解的求解步骤,获得了分类方程的近似泛函分离变量解.
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| 关 键 词： | 多孔介质方程 近似广义条件对称 近似泛函分离变量法 |
| 收稿时间： | 2011-07-18 |
Approximate functional variable separation for the porous medium equation with perturbed nonlinear source |
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| Ji Fei-Yu,Zhang Shun-Li.Approximate functional variable separation for the porous medium equation with perturbed nonlinear source[J].Acta Physica Sinica,2012,61(8):80202-080202. |
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| Authors: | Ji Fei-Yu Zhang Shun-Li |
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| Institution: | Department of Mathematics, Northwest University, Xi'an 710069, China |
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| Abstract: | The approximate functional variable separation for the porous medium equation with perturbed nonlinear source is studied. Complete classification of the perturbed equation which admits approximate functional separable solutions is obtained. The main solving procedure for the approximate functional variable separation approach is shown by way of examples, and the corresponding approximate functional separable solutions to the resulting equations are then constructed. |
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| Keywords: | porous medium equation approximate generalized conditional symmetry approximate functional variable separation approach |
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