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| 摘要: |
| 本文研究了一类KS方程的初边值问题.利用一致变换方法，并结合Green公式和Jordan引理，在半直线上得到了这类方程的显式解公式.所得结论将为该类方程适定性和数值计算的研究提供新的思路. |
| 关键词: KS方程 一致变换方法 显式解 Green公式 Jordan引理 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:国家自然科学基金资助（11671316）；河南省教育厅科学技术研究重点项目基金资助（16A110007）. |
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| THE EXPLICIT SOLUTION OF KURAMOTO SIVASHINSKY EQUATION |
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LIAN Ying-ying,WANG Hong-wei
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| Abstract: |
| In this paper, we study the initial boundary value problem of KS equation. By means of the unified transform method, we obtain the explicit solution on the half line with Green formula and Jordan lemma, which provides a new way of studying for the well-posedness and numerical calculation of this kind of equation. |
| Key words: KS equation unified transform method explicit solution Green formula Jordan lemma |
