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On limit fractional Volterra hierarchies

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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.

limit fractional Volterra hierarchynoncommutative limit fractional Volterra hierarchyDarboux transformationsoliton solutionquasi determinant solution

Lixiang Zhang、Chuanzhong Li

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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

国家自然科学基金KC Wong Magna Fund in Ningbo University

12071237

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
年,卷(期):2024.76(1)
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