Integrable structure of the classical lattice WN algebra

Kazuhiro Hikami

doi:10.1016/S0960-0779(97)00142-2

Integrable structure of the classical lattice W_N algebra

Kazuhiro Hikami

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Studied is the integrable structure of the classical lattice W_N algebra, which formulates the Hamiltonian structure of the N-reduced lattice KP hierarchy. We show that the monodromy matrix satisfies the Poisson algebra with the ℤ_N invariant classical r-matrix.

Original language	English
Pages (from-to)	1773-1782
Number of pages	10
Journal	Chaos, solitons and fractals
Volume	9
Issue number	10
DOIs	https://doi.org/10.1016/S0960-0779(97)00142-2
Publication status	Published - Jan 1 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1016/S0960-0779(97)00142-2

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abstract = "Studied is the integrable structure of the classical lattice WN algebra, which formulates the Hamiltonian structure of the N-reduced lattice KP hierarchy. We show that the monodromy matrix satisfies the Poisson algebra with the ℤN invariant classical r-matrix.",

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