A generalization of the Kac-Moody algebras with a parameter on an algebraic curve and perturbations of solitons

DOI10.1007/BF02098450zbMath0757.35066OpenAlexW2006111578MaRDI QIDQ1173712

Vladimir Mikhalev

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02098450

zbMATH Keywords

inverse scattering transformLax representation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Soliton equations (35Q51) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

The Krichever map, vector bundles over algebraic curves, and Heisenberg algebras

Cites Work

• Unnamed Item
• Complete integrability of the symmetric chiral O(3)-field equation in a class of rapidly decreasing functions
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• The solution to a generalized Toda lattice and representation theory

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