| 短脉冲方程的Lie对称分析及精确解研究 |
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| 引用本文： | 陈丽萍,王跃. 短脉冲方程的Lie对称分析及精确解研究[J]. 昆明冶金高等专科学校学报, 2011, 27(1): 54-59. DOI: 10.3969/j.issn.1009-0479.2011.01.013 |
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| 作者姓名： | 陈丽萍 王跃 |
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| 作者单位： | 昆明冶金高等专科学校文理学院,云南昆明,650033 |
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| 摘 要： | 非线性偏微分方程是现代数学的一个重要分支,对精确解的研究是非线性偏微分方程理论研究的重要组成部分。L ie对称方法是构造非线性偏微分方程精确解的一个直接而又强有力的方法。运用L ie对称分析法研究了一类称之为短脉冲方程的非线性发展方程,对其进行了古典L ie对称分析,获得了该方程的无穷小生成元和相应的对称群,并得到了一些对称约化及群不变解。
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| 关 键 词： | 短脉冲方程 Lie对称 对称分析 群不变解 |
Analysis of Lie Symmetry and Exact Solution of Short Pulse Equation |
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| CHENG Li-ping,WANG Yue. Analysis of Lie Symmetry and Exact Solution of Short Pulse Equation[J]. Journal of Kunming Metallurgy College, 2011, 27(1): 54-59. DOI: 10.3969/j.issn.1009-0479.2011.01.013 |
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| Authors: | CHENG Li-ping WANG Yue |
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| Affiliation: | CHENG Li-ping,WANG Yue(Faculty of Arts and Science,Kunming Metallargy College,Kunming 650033,China) |
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| Abstract: | Nonlinear partial differential equation is an important branch of modern mathematics and research on exact solution of nonlinear partial differential equations is an important component of theoretical research.As is known to all,Lie symmetric method is a direct and powerful way which comprises exact solution of nonlinear partial differential equation.Using Lie symmetry analysis to study nonlinear evolution equation,specifically short pulse equation,the paper found the infinitesimal generator of the equation... |
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| Keywords: | short pulse equation Lie symmetry symmetry analysis group-invariant solution |
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