| Burgers方程的强对称、李代数及其守恒律(英文) |
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| 引用本文： | 许斌.Burgers方程的强对称、李代数及其守恒律(英文)[J].聊城大学学报(自然科学版),2010,23(4). |
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| 作者姓名： | 许斌 |
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| 基金项目： | 山东省自然科学基金资助项目 |
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| 摘 要： | 借助于热传导方程的无穷多新的强对称、对称,求出了Burgers方程新的强对称,并由此生成了两组无穷多新的对称.同时证明了两组新对称构成一无穷维李代数.最后利用得到的新对称导出了Burgers方程无穷多新的守恒律,并且推广了相应求解守恒律的公式.
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| 关 键 词： | Burgers方程 强对称 李代数 守恒律 |
Recursion Operator,Lie Algebra and Conservation Laws of the Burgers Equation |
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| XU Bin.Recursion Operator,Lie Algebra and Conservation Laws of the Burgers Equation[J].Journal of Liaocheng University:Natural Science Edition,2010,23(4). |
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| Authors: | XU Bin |
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| Abstract: | The recursion operator and two kinds of symmetries of the Burgers equation are obtained with the aid of the Heat equation.And the infinite-dimensional Lie-algebra constructed by the new symmetries is proved.In the end,the infinite conservation laws of the Burgers equation are derived via the new symmetries and the corresponding formula of the conservation laws are generalized. |
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| Keywords: | Burgers equation Heat equation recursion operator Lie algebra conservation laws |
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