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- Title
Lax Operator Algebras and Applications to τ -Symmetries for Multilayer Integrable Couplings.
- Authors
Li, Chun-Xia; Ma, Wen-Xiu; Shen, Shou-Feng
- Abstract
The algebraic structures of zero curvature representations are furnished for multilayer integrable couplings associated with matrix spectral problems, both discrete and continuous. The key elements are a class of matrix loop algebras consisting of block matrices with blocks of the same size. As illustrative examples, isospectral and non-isospectral integrable couplings and the corresponding commutator relations of their Lax operators are computed explicitly in the cases of the Volterra lattice hierarchy and the AKNS hierarchy, along with their τ -symmetry algebras.
- Subjects
OPERATOR algebras; MATRICES (Mathematics); COMMUTATORS (Operator theory); LAX pair; ALGEBRA; COMMUTATION (Electricity); CURVATURE
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 6, pN.PAG
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14061185