Covariant Lax operators and Kac–Moody algebras

DOI10.1063/1.529345zbMath0737.35074OpenAlexW2042329254MaRDI QIDQ3981646

Ashok Das, Shibaji Roy

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529345

zbMATH Keywords

Kac-Moody algebrasSchrödinger equationsymmetriesLax operators

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40)

Related Items (2)

Classical extended conformal algebras associated with constrained KP hierarchy ⋮ Primary currents and Riemannian geometry in W algebras

Cites Work

• Current algebras and Wess-Zumino model in two dimensions
• Modifying Lax equations and the second Hamiltonian structure
• On the complete integrability of a nonlinear Schrödinger equation
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Covariant differential operators for densities and KdV equation as a flow on diffeomorphism groups
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Extended conformal symmetries and U(1) currents
• The Inverse Problem in the Quantum Theory of Scattering
• Integrals of nonlinear equations of evolution and solitary waves

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