On limit fractional Volterra hierarchies  

作　　者：Lixiang Zhang Chuanzhong Li 

机构地区：[1]School of Mathematics and Statistics,Ningbo University,Ningbo,315211,China [2]College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao,266590,China

出　　处：《Communications in Theoretical Physics》2024年第1期7-16,共10页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.12071237;KC Wong Magna Fund in Ningbo University。

摘　　要：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.

关 键 词：limit fractional Volterra hierarchy noncommutative limit fractional Volterra hierarchy Darboux transformation soliton solution quasi determinant solution 

分 类 号：O171[理学—数学]