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
收藏
页码：1520 / 1527
页数：8
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