A remark on the connection between affine Lie algebras and soliton equations

DOI10.1007/BF00402019zbMath0661.35074MaRDI QIDQ1113021

Etsuro Date

Publication date: 1988

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

zbMATH Keywords

Clifford algebras\(\tau\)-functionswavefunctionsLax equationsFock repesentationKdV-type

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)

Cites Work

• Unnamed Item
• Solitons and infinite dimensional Lie algebras
• Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V
• Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–

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