Extended resolvent and inverse scattering with an application to KPI

Extended resolvent and inverse scattering with an application to KPI
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扩展解析和逆散射以及 KPI 的应用

DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
B. Prinari
B. Prinari
中科院分区：
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文献类型：
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作者：
M. Boiti;F. Pempinelli;A. Pogrebkov;B. Prinari

文献摘要

被引文献

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我们详细介绍了一种用于研究与 2+1 维可积方程相关的线性问题的扩展解决方法。我们的演示以非平稳薛定谔方程为例，其势是通过二维衰减函数对单孤子势的扰动。给出了逆散射理论的修改以及约斯特解的性质和来自解析方法的光谱数据，如下所示。
We present in detail an extended resolvent approach for investigating linear problems associated to 2+1 dimensional integrable equations. Our presentation is based as an example on the nonstationary Schrodinger equation with potential being a perturbation of the one-soliton potential by means of a decaying two-dimensional function. Modification of the inverse scattering theory as well as properties of the Jost solutions and spectral data as follows from the resolvent approach are given.