| (磁)流体波动力学问题的近似求解─参数微分法 |
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| 引用本文： | 冯学尚,王连圭,杨复兴.(磁)流体波动力学问题的近似求解─参数微分法[J].吉首大学学报(自然科学版),1998(1). |
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| 作者姓名： | 冯学尚 王连圭 杨复兴 |
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| 作者单位： | 中科院日球物理数值开放研究实验室!北京，100080，中山学院电子系!中山，528403，吉首大学!吉首，416000 |
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| 摘 要： | 针对非线性物理如等离子体物理、流体力学、大气科学等领域中信受人们关注的两类摄动问题（Ⅰ）、（Ⅱ），引进"参数微分法"得到其近似解，其结果可用于研讨摄动对原物理问题解的影响。类似的问题在许多动力学问题物理解的数值定性分析及其应用WKB方法处理时也会经常遇到。这里的方法仅对两个特例给出，无疑可用于其它类似问题的处理。
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| 关 键 词： | 近似求解 参数微分法 （磁）流体波动问题 |
Approximate Solution Method for Some (Magnetic)Hydrodynamics Wave Problems by Parameter Differentiation |
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| Wang Liangui, Yang Fuxing, Feng Xueshang, Zhao Fengmei.Approximate Solution Method for Some (Magnetic)Hydrodynamics Wave Problems by Parameter Differentiation[J].Journal of Jishou University(Natural Science Edition),1998(1). |
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| Authors: | Wang Liangui Yang Fuxing Feng Xueshang Zhao Fengmei |
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| Abstract: | In this paper, a parameter differentiation solution method is proposed for approximately solvlng some perturbed hydrodynamics problems. From the approximate solution obtalned by this method, the contribution of the perturbed term in the governing equation can be seen clearly. As applications, the method is applied to some well-known perturbed problems related to KdV and Burgers equations arising in space physics, fluid mechanics, atmospheric sclence and a survey is given for the available results on these physlcal problems. |
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| Keywords: | (magnetic)hydrodynomics wave problems approximate solution method parameter differentiation |
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