Higher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations

被引：5

作者：

Schulze-Halberg, Axel ^{[1
]}

机构：

[1] Indiana Univ NW, Dept Math & Actuarial Sci, Gary, IN 46408 USA

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 10期

关键词：

Generalized Schrodinger equation; Darboux transformation; Auxiliary equation; QUANTUM-MECHANICS;

D O I：

10.1016/j.aml.2012.01.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a recently developed modified Darboux transformation that uses foreign auxiliary equations, can be unified with the Darboux transformation for generalized Schrodinger equations. As a consequence of this unification, we obtain explicit Darboux transformations with foreign auxiliary equations of arbitrary order. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1520 / 1527

页数：8

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