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耦合的Harry-Dym方程的对称约化 被引量:1

Symmetry reduction for the coupled Harry-Dym equations
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摘要 目的研究耦合的Harry-Dym方程的对称约化。方法 Steinberg提出的对称方法。结果得到耦合的Harry-Dym方程所允许的对称和相应的常微分方程组。结论将耦合的Harry-Dym方程转化为常微分方程组。 Aim To study the symmetry reduction for the coupled Harry-Dym equations. Methods Steinberg's similarity method. Results The symmetry and the corresponding system of ordinary differential equations are obtained. Conclusion The coupled Harry-Dym equations can be reduced to the system of ordinary differential equations.
出处 《西北大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第6期961-963,共3页 Journal of Northwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11101332) 河南省自然科学基金资助项目(2007140020)
关键词 耦合的Harry—Dym方程 对称约化 Fr6chet导数 相似解 the coupled Harry-Dym equations symmetry reduction Frechet derivatives similarity solutions
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