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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, 28(3): 341-345. DOI: 10.3969/j.issn.1003-0972.2015.03.008
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, 28(3): 341-345. DOI: 10.3969/j.issn.1003-0972.2015.03.008
shu
Li Cun , Song Xuanyu , Wang Linsheng , Liu Molin . The Perturbation Theory in Inverse Scattering Transformation for Landau-Lifschitz Equation[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(3): 341-345. DOI: 10.3969/j.issn.1003-0972.2015.03.008
Citation: Li Cun , Song Xuanyu , Wang Linsheng , Liu Molin . The Perturbation Theory in Inverse Scattering Transformation for Landau-Lifschitz Equation[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(3): 341-345. DOI: 10.3969/j.issn.1003-0972.2015.03.008
shu

Landau-Lifschitz方程的反散射变换微扰理论

The Perturbation Theory in Inverse Scattering Transformation for Landau-Lifschitz Equation

    摘要
  • 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

     

    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 parameterλn and the scattering date bn(t) in the bounded state was given by the method mentioned above

     

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