Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 321-338 |
| Journal / Publication | Physica A: Statistical Mechanics and its Applications |
| Volume | 303 |
| Issue number | 3-4 |
| Publication status | Published - 15 Jan 2002 |
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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. © 2002 Elsevier Science B.V. All rights reserved.
Research Area(s)
- Bäcklund transformation, Canonical transformation, Constrained flows of soliton equation, Lax representation, Spectrality
Citation Format(s)
Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies. / Zeng, Yunbo; Zhu, Yiqing; Xiao, Ting et al.
In: Physica A: Statistical Mechanics and its Applications, Vol. 303, No. 3-4, 15.01.2002, p. 321-338.
In: Physica A: Statistical Mechanics and its Applications, Vol. 303, No. 3-4, 15.01.2002, p. 321-338.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
