On limit fractional Volterra hierarchies

Lixiang Zhang ¹Chuanzhong Li²

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作者信息

1. School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China
2. School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China;College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao,266590,China
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Abstract

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.

Key words

limit fractional Volterra hierarchy/noncommutative limit fractional Volterra hierarchy/Darboux transformation/soliton solution/quasi determinant solution

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基金项目

国家自然科学基金(12071237)

KC Wong Magna Fund in Ningbo University()

出版年

2024

理论物理通讯(英文版)

中国科学院理论物理研究所中国物理学会

理论物理通讯(英文版)

CSTPCD

影响因子：0.333

ISSN：0253-6102

参考文献量29

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