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,
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页码：1035 / 1041
页数：7
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