Solution of High-Order Nonlinear Integrable Systems Using Darboux Transformation

被引：1
作者：
Wu, Xinhui [1 ,2 ]
Hu, Jiawei [1 ,2 ]
Zhang, Ning [1 ,2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, Dept Fundamental Course, Tai An 271019, Peoples R China
来源：
AXIOMS | 2023年 / 12卷 / 11期
基金：
中国国家自然科学基金;
关键词：
new soliton hierarchy; generalized Hamiltonian structures; Darboux transformation; HAMILTONIAN STRUCTURES; HIERARCHY; COUPLINGS; EQUATION;
D O I：
10.3390/axioms12111032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The 4x4 trace-free complex matrix set is introduced in this study. By using it, we are able to create a novel soliton hierarchy that is reduced to demonstrate its bi-Hamiltonian structure. Additionally, we give the Darboux matrix T, whose elements are connected to the spectral parameter in accordance with the various positions and numbers of the spectral parameter lambda. The Darboux transformation approach has also been successfully applicated to superintegrable systems.
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页数：10
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