| 一类带限定变换的二阶耦合线性微分方程组的解析解 |
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| 引用本文： | 杨鹏飞.一类带限定变换的二阶耦合线性微分方程组的解析解[J].物理学报,2006,55(11):5579-5584. |
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| 作者姓名： | 杨鹏飞 |
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| 作者单位： | 陕西广播电视大学榆林市分校，榆林 719000 |
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| 摘 要： | 用函数和方程变换将二阶耦合线性微分方程组转化为一阶非线性类椭圆方程，并给出了一次和二次限定变换下方程组的Jacobi椭圆函数解析解，所得结果修正了文献中超导特例的近似解，进一步肯定了超导边界层电场的存在性.
关键词：
微分方程
Jacobi椭圆函数
解析解
超导
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| 关 键 词： | 微分方程 Jacobi椭圆函数 解析解 超导 |
| 文章编号： | 1000-3290/2006/55(11)/5579-06 |
| 收稿时间： | 11 12 2005 12:00AM |
| 修稿时间： | 2005-11-122006-03-23 |
Analytical solution for a class of coupled linear second-order differential equations limited by transformations |
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| Yang Peng-Fei.Analytical solution for a class of coupled linear second-order differential equations limited by transformations[J].Acta Physica Sinica,2006,55(11):5579-5584. |
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| Authors: | Yang Peng-Fei |
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| Institution: | Yulin Branch of Shaanxi Radio and Television University, Yulin 719000, China |
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| Abstract: | By using the function and equation transformations,a coupled linear second-order differential equations are reduced to a nonlinear first-order Elliptic equation. And the analytical solutions to coupled transformations that include first-order and second-order transformations are given.The special approximate solution to a superconductivity question derived from a reference is reformed by using the new result given in this paper, and the existence of electric field in the surface of superconductor is validated. |
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| Keywords: | differential equations Jacobi elliptic equations analytical solution superconductivity |
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