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二元Camassa-Holm方程的李对称分析和精确解

Hongxia TIAN,Ben GAO

Journal of University of Chinese Academy of Sciences（2016）

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Abstract
利用李群分析法研究二元Camassa-Holm方程,该方程以具有线性剪切流的浅水波为模型.通过对称分析得到方程的相似约化和精确解,再用幂级数法获得方程的解.证明了所得幂级数解的收敛性.从变换群的角度考虑了方程所得解的物理意义.
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Key words
Lie symmetry analysis,two-component Camassa-Holm equation,similarity reduction,exact solution
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