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Hamiltonian Structure of Multicomponent KdV Equations

In: Symmetries in Science VIII

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  • Ömer Oğuz

    (Research and Applications Boğazici University, Physics Department and Center for Turkish-Balkan Physics)

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].

Suggested Citation

  • Ömer Oğuz, 1995. "Hamiltonian Structure of Multicomponent KdV Equations," Springer Books, in: Bruno Gruber (ed.), Symmetries in Science VIII, pages 405-413, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-1915-7_29
    DOI: 10.1007/978-1-4615-1915-7_29
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