Kac–Moody algebra from infinitesimal Riemann–Hilbert transform

DOI10.1063/1.528581zbMath0682.58043OpenAlexW2055821447MaRDI QIDQ4731877

Mo-Lin Ge, Ling-Lie Chau

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528581

zbMATH Keywords

non-isotropic Landau-Lifshitz equationWalquist-Estabrook prolongation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Partial differential equations of mathematical physics and other areas of application (35Q99) Dynamical systems and ergodic theory (37-XX)

Related Items (4)

On the group aspects of Riemann–Hilbert transformations ⋮ The connection between the Riemann-Hilbert transformation and the Poisson bracket for Lax-pair systems ⋮ Regular double Riemann–Hilbert problems and double Kac–Moody algebraic structures for two-dimensional reduced gravity ⋮ Yangian symmetry in integrable quantum gravity

Cites Work

• Non-Abelian bosonization in two dimensions
• The Riemann–Hilbert problem for the supersymmetric constraint equations
• Relationship between the inverse scattering techniques of Belinskii–Zakharov and Hauser–Ernst in general relativity

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