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- Title
Solution of High-Order Nonlinear Integrable Systems Using Darboux Transformation.
- Authors
Wu, Xinhui; Hu, Jiawei; Zhang, Ning
- Abstract
The 4 × 4 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 λ. The Darboux transformation approach has also been successfully applicated to superintegrable systems.
- Subjects
DARBOUX transformations; NONLINEAR systems; COMPLEX matrices; BACKLUND transformations
- Publication
Axioms (2075-1680), 2023, Vol 12, Issue 11, p1032
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms12111032