A Type of New Loop Algebra and a Generalized Tu Formula

DOI10.1088/0253-6102/51/1/08zbMath1175.81126OpenAlexW1997693847MaRDI QIDQ3631522

Fukui Guo, Yu-Feng Zhang

Publication date: 10 June 2009

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/51/1/08

zbMATH Keywords

Lie algebraHamiltonian structureloop algebraTu formula

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Inverse scattering problems in quantum theory (81U40) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (5)

Generalized fractional supertrace identity for Hamiltonian structure of NLS-MKdV hierarchy with self-consistent sources ⋮ Some soliton hierarchies associated with Lie algebras \(\mathfrak{sp}(4)\) and \(\mathfrak{so}(5)\) ⋮ A class of new Lie algebra, the corresponding g-mKdV hierarchy and its Hamiltonian structure ⋮ The semidirect sum of Lie algebras and its applications to C-KdV hierarchy ⋮ New extended Lie algebra and the generalized integrable Liouville hierarchy

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