TY - JOUR
T1 - Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies
AU - Zeng, Yunbo
AU - Zhu, Yiqing
AU - Xiao, Ting
AU - Dai, Huihui
PY - 2002/1/15
Y1 - 2002/1/15
N2 - It is shown that explicit Bäcklund transformations (BTs) for the high-order constrained flows of soliton hierarchy can be constructed via their Darboux transformations and Lax representation, and these BTs are canonical transformations including Bäcklund parameter η and possess a spectrality property with respect to η and the 'conjugated' variable μ for which the pair (η, μ) lies on the spectral curve. As model we present the canonical explicit BTs with the spectrality for high-order constrained flows of the Kaup-Newell hierarchy and the KdV hierarchy. © 2002 Elsevier Science B.V. All rights reserved.
AB - It is shown that explicit Bäcklund transformations (BTs) for the high-order constrained flows of soliton hierarchy can be constructed via their Darboux transformations and Lax representation, and these BTs are canonical transformations including Bäcklund parameter η and possess a spectrality property with respect to η and the 'conjugated' variable μ for which the pair (η, μ) lies on the spectral curve. As model we present the canonical explicit BTs with the spectrality for high-order constrained flows of the Kaup-Newell hierarchy and the KdV hierarchy. © 2002 Elsevier Science B.V. All rights reserved.
KW - Bäcklund transformation
KW - Canonical transformation
KW - Constrained flows of soliton equation
KW - Lax representation
KW - Spectrality
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U2 - 10.1016/S0378-4371(01)00550-7
DO - 10.1016/S0378-4371(01)00550-7
M3 - RGC 21 - Publication in refereed journal
SN - 0378-4371
VL - 303
SP - 321
EP - 338
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 3-4
ER -