| 非线性耦合Harry-Dym方程的对称约化 |
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| 引用本文： | 胡潇,胡恒春.非线性耦合Harry-Dym方程的对称约化[J].上海理工大学学报,2016,38(1):8-12. |
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| 作者姓名： | 胡潇 胡恒春 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093;上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 上海市自然科学基金资助项目(10ZR1420800);上海市重点学科建设项目(XTKX2012);国家自然科学基金资助项目(11071164,11201302) |
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| 摘 要： | 借助符号计算软件Maple将Clarkson-Kruskal直接法应用于非线性耦合Harry-Dym方程中,运用相应规则得到对称变换并求得非线性耦合Harry-Dym方程的相似变量和相似解.通过选取不同的特殊常数得到非线性耦合Harry-Dym方程两种常微分形式的对称约化方程.利用约化方程构造了非线性耦合Harry-Dym方程可能的新严格解.
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| 关 键 词： | 对称约化 Clarkson-Kruskal直接法 非线性耦合Harry-Dym方程 |
| 收稿时间： | 2014/10/24 0:00:00 |
Symmetry Reduction for the Nonlinear Coupled Harry-Dym Equation |
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| HU Xiao and HU Hengchun.Symmetry Reduction for the Nonlinear Coupled Harry-Dym Equation[J].Journal of University of Shanghai For Science and Technology,2016,38(1):8-12. |
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| Authors: | HU Xiao and HU Hengchun |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | With the help of symbolic computation software Maple, the Clarkson-Kruskal direct method was developed for the nonlinear coupled Harry-Dym equation, the similarity variables and similarity solutions of the nonlinear coupled Harry-Dym equation were obtained by the symmetry transformation.Two forms of symmetric reduced equation were obtained by selecting different special contants.The exact solutions of the reduction equation were also constructed directly. |
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| Keywords: | symmetry reduction Clarkson-Kruskal direct method nonlinear coupled Harry-Dym equation |
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