| Landau-Lifschitz方程的反散射变换微扰理论 |
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| 引用本文： | 李存,宋宣玉,王林生,刘墨林.Landau-Lifschitz方程的反散射变换微扰理论[J].信阳师范学院学报(自然科学版),2015(3):341-345. |
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| 作者姓名： | 李存 宋宣玉 王林生 刘墨林 |
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| 作者单位： | 1. 信阳师范学院物理电子工程学院,河南信阳,464000
2. 河南工业职业技术学院电子工程系,河南南阳,473000 |
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| 基金项目： | 国家自然科学基金项目(11475143)；河南省教育厅科学技术研究重点项目(12 B140014)；信阳师范学院青年科研基金项目 |
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| 摘 要： | 基于反散射变换方法建立了Landau-Lifschitz方程的微扰理论.保持由第一个Lax方程出发引入的Jost解的解析性,而在第二个Lax方程中修正了存在微扰项方程散射数据随时间的演化方程,从而得到了Landau-Lifschitz方程微扰理论的两个基本方程以及分离谱时谱参量λn和bn(t)散射数据随时间的演化规律.
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| 关 键 词： | Jost解 反散射变换 微扰理论 |
The Perturbation Theory in Inverse Scattering Transformation for Landau-Lifschitz Equation |
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| Li Cun
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Song Xuanyu
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Wang Linsheng
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Liu Molin.The Perturbation Theory in Inverse Scattering Transformation for Landau-Lifschitz Equation[J].Journal of Xinyang Teachers College(Natural Science Edition),2015(3):341-345. |
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| Authors: | Li Cun Song Xuanyu Wang Linsheng Liu Molin |
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| Institution: | ,College of Physics and Electronic Engineering,Xinyang Normal University,Department of Electronic Engineering,Henan Polytechnic Institute |
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| Abstract: | The perturbation theory was developed for Landau-Lifschitz equation based on inverse scattering transformation. Two basic equations were observed in the method of remaining Jost solutions from the first Lax equation unchanged and the scattering date being revised in the second Lax equation. Then the spectrum parameter λnand the scattering date bn( t) in the bounded state was given by the method mentioned above. |
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| Keywords: | Jost solutions inverse scattering transformation perturbation theory |
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