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首页> 外文期刊>Applications of Mathematics >AN ANALYTIC METHOD FOR THE INITIAL VALUE PROBLEM OF THE ELECTRIC FIELD SYSTEM IN VERTICAL INHOMOGENEOUS ANISOTROPIC MEDIA
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AN ANALYTIC METHOD FOR THE INITIAL VALUE PROBLEM OF THE ELECTRIC FIELD SYSTEM IN VERTICAL INHOMOGENEOUS ANISOTROPIC MEDIA

机译：垂直非均质各向异性介质中电场系统初值问题的一种解析方法

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摘要

The time-dependent system of partial differential equations of the second order describing the electric wave propagation in vertically inhomogeneous electrically and magnetically biaxial anisotropic media is considered. A new analytical method for solving an initial value problem for this system is the main object of the paper. This method consists in the following: the initial value problem is written in terms of Fourier images with respect to lateral space variables, then the resulting problem is reduced to an operator integral equation. After that the operator integral equation is solved by the method of successive approximations. Finally, a solution of the original initial value problem is found by the inverse Fourier transform.
机译：考虑了描述电波在垂直不均匀的电和磁双轴各向异性介质中传播的二阶偏微分方程的时变系统。解决该系统初值问题的一种新的分析方法是本文的主要目的。该方法包括以下内容：相对于横向空间变量，将傅里叶图像写成初始值问题，然后将结果问题简化为算子积分方程。之后，算子积分方程通过逐次逼近法求解。最后，通过傅立叶逆变换找到原始初始值问题的解决方案。

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