Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies

Yunbo Zeng, Yiqing Zhu, Ting Xiao and Huihui Dai

Physica A: Statistical Mechanics and its Applications, 2002, vol. 303, issue 3, 321-338

Abstract: 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.

Keywords: Bäcklund transformation; Canonical transformation; Spectrality; Constrained flows of soliton equation; Lax representation (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:303:y:2002:i:3:p:321-338

DOI: 10.1016/S0378-4371(01)00550-7

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