Lax pairs of integrable equations in \(1\leq d\leq 3\) dimensions as reductions of the Lax pair for the self-dual Yang-Mills equations

DOI10.1016/0375-9601(95)00041-ZzbMath1020.37534MaRDI QIDQ1965454

Martin Legare, Alexander D. Popov

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Integrability of vortex equations on Riemann surfaces, Noncommutative self-dual supersymmetric Yang-Mills theory, Scattering of noncommutative waves and solitons in a supersymmetric chiral model in \(2 + 1\) dimensions, Darboux transformations for a Lax integrable system in \(2n\) dimensions, Reduction of self-dual Yang-Mills equations with respect to subgroups of the extended Poincaré group, On infinite-dimensional algebras of symmetries of the self-dual Yang–Mills equations, How to Find Discrete Contact Symmetries

Cites Work

• Self-dual Yang-Mills fields and Nahm's equations
• Twistor correspondences for the soliton hierarchies
• Real methods in twistor theory
• Diffeomorphism algebras and the Nahm and Ward equations
• On self-dual gauge fields
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