Multidimensional inverse-scattering and Clifford analysis

被引：1

作者：

Bernstein, S ^{[1
]}

机构：

[1] Bauhaus Univ Weimar, Inst Math & Phys, D-99421 Weimar, Germany

来源：

APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 08期

关键词：

inverse scattering transform; Clifford analysis; Schrodinger-type equation; generalized Cauchy formula;

D O I：

10.1016/S0893-9659(02)00081-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a higher-dimensional 5 method based on Clifford analysis. To explain the method we consider, the formal solution of the inverse scattering problem for the n-dimensional time-dependent Schrodinger equations given by Nachman and Ablowitz [1]. Replacing the general complex Cauchy formula by a higher-dimensional analogue, we get rid of the "miracle condition". (C) 2002 Elsevier Science Ltd. All rights reserved,

引用

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页码：1035 / 1041

页数：7

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