POISSON-LIE STRUCTURE OF LAX-PAIR MATRIX OF INTEGRABLE CLASSICAL NON-LINEAR SIGMA MODEL UNDER THE MOVING FRAME | Zendy

Xiang-Mao Ding | Zendy; WANG YAN-SHEN | Zendy; Bo-Yu Hou | Zendy

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POISSON-LIE STRUCTURE OF LAX-PAIR MATRIX OF INTEGRABLE CLASSICAL NON-LINEAR SIGMA MODEL UNDER THE MOVING FRAME

Author(s) -

Xiang-Mao Ding,

WANG YAN-SHEN,

Bo-Yu Hou

Publication year - 1994

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.43.1

Subject(s) - covariant transformation , moving frame , connection (principal bundle) , poisson bracket , sigma model , pure mathematics , space (punctuation) , matrix (chemical analysis) , integrable system , physics , mathematical physics , poisson distribution , sigma , field (mathematics) , frame (networking) , lie algebra , mathematical analysis , mathematics , geometry , quantum mechanics , nonlinear system , materials science , computer science , telecommunications , statistics , composite material , operating system

We give out the Poisson-Lie brackets of non-linear σ model in O(3)/O(2) sy-mmetric space. Covariant properties from fixed frame to moving frame are discussed, in the process the covariant decomposing methods are used. The r-s-matrix independent of field except the connection of the space is found.

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