Hamiltonian Structure of Multicomponent KdV Equations

Ömer Oğuz
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Ömer Oğuz: Research and Applications Boğazici University, Physics Department and Center for Turkish-Balkan Physics

A chapter in Symmetries in Science VIII, 1995, pp 405-413 from Springer

Abstract: Abstract Recently a lot of attention has been given to generalizations of KdV equations more than one KdV field (see refs.[1–7] and references therein). These integrable coupled equations can play an important role in both physics and mathematics. It is known that there exists a relation between the Poisson bracket structure of integrable systems and the conformal algebras (see refs.[8–13] and references therein). Furtheremore, a connection between integrable systems and conformal field theory has been established after quantizing the integrable systems (see e.g. [14, 15]). Very recently it has also been shown that there is a relation between a matrix KdV hierarchy and a non-linear and non-local Poisson bracket algebra, or the so-called V-algebra [16].

Keywords: Poisson Bracket; Jacobi Identity; Conformal Field Theory; Hamiltonian Operator; Hamiltonian Structure (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1915-7_29

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DOI: 10.1007/978-1-4615-1915-7_29

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