一阶负阶矩阵AKNS流及其达布变换

IF 1.7 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2025-09-03 DOI:10.1007/s10773-025-06102-6

Wen-Xiu Ma

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引用次数: 0

摘要

本文将谱参数中含有一阶极点的Lax对与矩阵AKNS谱问题联系起来，导出了一阶负阶矩阵AKNS流。在AKNS框架内构造相应的Darboux变换。从种子解出发，通过推导的达布变换的单次应用，生成了非线性负阶模型的一类精确和显式解。

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The First Negative-order Matrix AKNS Flow and its Darboux Transformation

This paper presents the first negative-order matrix AKNS flow, derived by associating a Lax pair containing a first-order pole in the spectral parameter with the matrix AKNS spectral problem. The corresponding Darboux transformation is constructed within the AKNS framework. Starting from a seed solution, a class of exact and explicit solutions to the nonlinear negative-order model is generated via a single application of the derived Darboux transformation.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.