| 径向对称的拟线性热方程的新精确解 |
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| 引用本文： | 屈改珠.径向对称的拟线性热方程的新精确解[J].河南科学,2014(9):1683-1684. |
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| 作者姓名： | 屈改珠 |
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| 作者单位： | 渭南师范学院数学与信息科学学院,陕西渭南,714000 |
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| 基金项目： | 国家自然科学基金资助项目(11371293)；陕西省军民融合研究基金项目(13JMR13)；渭南市基础研究计划项目(2013JCYJ-4)；陕西省教育厅专项基金资助项目 |
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| 摘 要： | 利用函数不变集方法,讨论了径向对称的N维拟线性热方程的旋转不变集和精确解,给出了径向对称的拟线性热方程在旋转群上不变时满足的约束条件,进一步求解约束条件得到了上述方程的一些精确解,文中的结果推广了Galaktionov关于非线性演化方程的结论.
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| 关 键 词： | 径向对称的拟线性热方程 旋转不变集 精确解 |
New Explicit Solutions to Radially Symmetric Quaslilinear Heat Equation |
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| Qu Gaizhu.New Explicit Solutions to Radially Symmetric Quaslilinear Heat Equation[J].Henan Science,2014(9):1683-1684. |
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| Authors: | Qu Gaizhu |
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| Institution: | Qu Gaizhu (College of Mathematics and Information Science, Weinan Normal University, Weinan 714000, Shaanxi China) |
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| Abstract: | Using the invariant sets,the rotating invariant sets and explicit solutions to radially symmetric quaslilinear heat equation in R^N are discussed,and the invariant conditions for the radially symmetric quaslilinear heat equation under the rotation group are derived,moreover,by solving these constraints,the invariant solutions can be constructed . These solutions generalize the results of nonlinear evolutionary equations given by Galaktionov . |
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| Keywords: | radially symmetric quaslilinear heat equation evolutionary invariant set explicit solution |
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