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

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Original languageEnglish
Pages (from-to)321-338
Journal / PublicationPhysica A: Statistical Mechanics and its Applications
Issue number3-4
Publication statusPublished - 15 Jan 2002


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.

Research Area(s)

  • Bäcklund transformation, Canonical transformation, Constrained flows of soliton equation, Lax representation, Spectrality

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