TY - JOUR

T1 - A family of integrable symplectic standard-like maps related to symmetric spaces

AU - Suris, Yuri B.

PY - 1994/8/29

Y1 - 1994/8/29

N2 - We propose a family of symplectic standard-like maps, providing finite-difference approximations for all integrable nonlinear oscillators related to the classical series of symmetric spaces, introduced by Fordy et al. The Lax pair representations are found and the complete integrability is proved for all but the BDI maps. For the latter a large but incomplete set of integrals is found. For the AIII system also the r-matrix structure is presented.

AB - We propose a family of symplectic standard-like maps, providing finite-difference approximations for all integrable nonlinear oscillators related to the classical series of symmetric spaces, introduced by Fordy et al. The Lax pair representations are found and the complete integrability is proved for all but the BDI maps. For the latter a large but incomplete set of integrals is found. For the AIII system also the r-matrix structure is presented.

UR - http://www.scopus.com/inward/record.url?scp=0039312303&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(94)91007-3

DO - 10.1016/0375-9601(94)91007-3

M3 - Article

AN - SCOPUS:0039312303

SN - 0375-9601

VL - 192

SP - 9

EP - 16

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1

ER -