Lax Operator Algebras and Applications to τ-Symmetries for Multilayer Integrable Couplings
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DOI: 10.3390/sym14061185
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… read more here.
Keywords: algebras applications; applications symmetries; integrable couplings; lax operator ... See more keywords
On New Hamiltonian Structures of Two Integrable Couplings
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DOI: 10.3390/sym14112259
Abstract: In this paper, we present new Hamiltonian operators for the integrable couplings of the Ablowitz–Kaup–Newell–Segur hierarchy and the Kaup–Newell hierarchy. The corresponding Hamiltonians allow nontrivial degeneration. Multi-Hamiltonian structures are investigated. The involutive property is proven… read more here.
Keywords: structures two; hamiltonian structures; integrable couplings; two integrable ... See more keywords