李群法在水波方程中的应用

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Publication date
1 January 2014
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Abstract

引入李群法对二维水波控制方程Laplace方程作群变换,利用同一解曲面的几何条件对其李代数进行降维,并借助于Mathematica计算软件,得到该控制方程的无限李群解,在考虑某边值问题的情况下,得出此问题的解析解。用李群法完成Laplace方程通解和某一特定边界条件特解的推导计算,证明了该方法的可行性

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