| 拟线性热方程的函数分离变量解 |
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| 引用本文： | 娄丹,谢离丽.拟线性热方程的函数分离变量解[J].纯粹数学与应用数学,2012(2):242-246. |
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| 作者姓名： | 娄丹 谢离丽 |
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| 作者单位： | 西北大学数学系,陕西西安710069 |
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| 基金项目： | 国家自然科学基金(10671156) |
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| 摘 要： | 用群状结构法研究拟线性热方程的分离变量解,对于允许和型分离变量解的二阶拟线性热方程给出了一个完整的分类.说明了一些带有函数类型反应项的方程具有函数分离变量解,推广了前人的结论.
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| 关 键 词： | 函数分离变量解 群状结构法 拟线性热方程 |
Functional separable solutions to quasi-linear heat equation |
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| Lou Dan,Xie Lili.Functional separable solutions to quasi-linear heat equation[J].Pure and Applied Mathematics,2012(2):242-246. |
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| Authors: | Lou Dan Xie Lili |
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| Institution: | (Department of Mathematics,Northwest University,Xi an 710069,China) |
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| Abstract: | In this paper,we considered the separable solutions to the quasi-linear heat equation with the group foliation method.A classification was carried out for the second order heat equations which admit additive separable solutions.The result is an extension of some known conclusions about the functional separation of variable solutions. |
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| Keywords: | functional separable solution group foliation method quasi-linear heat equation |
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