| 三阶变系数方程许可单参群的一个性质 |
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| 引用本文： | 马庆华.三阶变系数方程许可单参群的一个性质[J].惠州学院学报,1996,16(4):1-4. |
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| 作者姓名： | 马庆华 |
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| 摘 要： | 在“初始”的三阶变系数线性方程许可某单参群的条件下，考察并获得另一三阶变系数方程许可同一单参群的条件。证明了如果一辅助的二阶线性方程有精确解，则这两个三阶方程在许可同一单参群时也可积。给出了一些例子。
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| 关 键 词： | 许可，单参变换群，可积，对称 |
A Property of the Third-Order Ordinary Differential Equations with Variable Coefficients Admitting One-Parameter Group |
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| Ma Qinghua.A Property of the Third-Order Ordinary Differential Equations with Variable Coefficients Admitting One-Parameter Group[J].Journal of Huizhou University,1996,16(4):1-4. |
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| Authors: | Ma Qinghua |
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| Institution: | Dept. of Mathematics |
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| Abstract: | Under the assumption of the initial third-order linear differential equation with variable coefficients admitting a one-parameter group, the conditions of admitting the same one-parameter group for another third-order linear differential equation are discussed. It was showed that if an auxiliary second-order differential equation has exact solutions. these two third-order differnential equations are integrable when they admit the same one-parameter group. Examples are given. |
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| Keywords: | admit one-parameter group integrable symmetry |
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