Gelfand-Dikii Brackets for Nonstandard Lax Equations
J.C. Brunelli, Ashok Das, Wen-Jui Huang
TL;DR
This paper extends Gelfand-Dikii brackets to nonstandard Lax equations and explores the potential origins of Kac-Moody algebras within these systems, advancing the mathematical framework of integrable systems.
Contribution
It introduces a generalization of Gelfand-Dikii brackets for nonstandard Lax equations and investigates the algebraic structures involved.
Findings
Gelfand-Dikii brackets are generalized to new classes of Lax equations.
Possible connections between these systems and Kac-Moody algebras are discussed.
The work provides a foundation for further exploration of algebraic structures in integrable systems.
Abstract
We generalize the construction of Gelfand-Dikii brackets to the case of nonstandard Lax equations. We also discuss the possible origin of Kac-Moody algebras present in such systems.
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