逆散射问题中的达布变换

IF 0.5 Q3 MATHEMATICS Ufa Mathematical Journal Pub Date : 2016-01-01 DOI:10.13108/2016-8-4-42

Mukhtar Shamil'evich Badakhov, A. Shabat

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引用次数: 3

摘要

众所周知，达布变换在ISP应用中起着关键作用。本文给出了具有紧支持势的Schrödinger方程的这种变换的理论，该方程不一定是光滑的。研究了复平面上共轭点处反射系数零点的一类新的变换。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Darboux transformations in the inverse scattering problem

As it is known, Darboux transformations play a key role in applications in ISP. In the paper we expose the theory of such transformations for the Schrödinger equations with compactly supported potential, which are not necessarily smooth. We study a new class of transformations connected with the zeroes of the reflection coefficient located at conjugated points in the complex plane.

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来源期刊

Ufa Mathematical Journal MATHEMATICS-

CiteScore

1.10

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0.00%

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