关于极限分数Volterra层次

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Communications in Theoretical Physics Pub Date : 2023-11-08 DOI:10.1088/1572-9494/ad0a6d

Li xiang Zhang, Chuanzhong Li

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引用次数: 0

摘要

摘要对于极限分数级Volterra (LFV)层次，构造了n重Darboux 变换及其孤子解。进一步，我们将LFV层次扩展为非交换LFV (NCLFV)层次，并构造了由非交换版本的拟行列式表示的Darboux变换。同时，我们建立了NCLFV层次结构新解与旧解之间的关系。最后，得到了NCLFV层次的拟行列式解。

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On limit fractional Volterra hierarchies

For the limit fractional Volterra (LFV) hierarchy, we construct the n-fold Darboux transformation and the soliton solutions. Furthermore, we extend the LFV hierarchy to the noncommutative LFV (NCLFV) hierarchy, and construct the Darboux transformation expressed by quasi determinant of the noncommutative version. Meanwhile, we establish the relationship between new and old solutions of the NCLFV hierarchy. Finally, the quasi determinant solutions of the NCLFV hierarchy are obtained.

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来源期刊

Communications in Theoretical Physics 物理-物理：综合

CiteScore

5.20

自引率

3.20%

发文量

6110

审稿时长

4.2 months

期刊介绍： Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.