广义多孔介质方程的条件Lie-B(a)cklund对称和对称约化 |
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引用本文: | 郑群珍,姬利娜.广义多孔介质方程的条件Lie-B(a)cklund对称和对称约化[J].安徽师范大学学报(自然科学版),2017,40(5):420-423. |
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作者姓名: | 郑群珍 姬利娜 |
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作者单位: | 河南教育学院数学与统计学院,河南郑州,450046;河南农业大学信息与计算科学系,河南郑州,450002 |
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基金项目: | 国家自然科学基金项目,河南省教育厅教师教育研究课题 |
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摘 要: | 本文运用条件Lie-B(a)cklund对称方法研究了广义多孔介质方程.允许二阶条件Lie-B(a)cklund对称的方程被确定给出.继而,通过相应的对称约化得到了方程的精确解.
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关 键 词: | 广义多孔介质方程 条件Lie-B(a)cklund对称 对称约化 精确解 |
Conditional Lie-B(a)cklund Symmetries and Reductions of Generalized Porous Medium Equation |
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Abstract: | In this paper,conditional Lie-B(a)cklund symmetry method was used to study generalized porous medium equation.The equations which admit second-order conditional Lie-B(a)cklund symmetries were identified.As a result exact solutions of the resulting equations were constructed due to the corresponding symmetry reductions. |
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Keywords: | generalized porous medium equation conditional Lie-B(a)cklund symmetry symmetry reduction exact solution |
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