APPLICATIONS OF THE LIE ALGEBRA gl(2)

DOI10.1142/S0217984909019922zbMath1167.37356OpenAlexW1989901731WikidataQ115246016 ScholiaQ115246016MaRDI QIDQ3392278

Hon-Wah Tam, Yu-Feng Zhang

Publication date: 13 August 2009

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984909019922

zbMATH Keywords

exact solutionevolution equationLie algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (8)

A novel kind of a multicomponent hierarchy of discrete soliton equations and its application ⋮ Nonlinear bi-integrable couplings with Hamiltonian structures ⋮ A kind of generalized integrable couplings and their bi-Hamiltonian structure ⋮ Nonlinear continuous integrable Hamiltonian couplings ⋮ A new non-isospectral integrable couplings for generalized Volterra lattice hierarchy ⋮ A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems ⋮ \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems ⋮ A new multi-component integrable coupling and its application to isospectral and nonisospectral problems

Cites Work

• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A discrete variational identity on semi-direct sums of Lie algebras
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras

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