Bäcklund transformations for high-order constrained flows of the AKNS hierarchy : Canonicity and spectrality property
Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1095-1108 |
| Journal / Publication | Journal of Physics A: Mathematical and General |
| Volume | 35 |
| Issue number | 4 |
| Publication status | Published - 1 Feb 2002 |
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Abstract
A new infinite number of one- and two-point Bäcklund transformations (BTs) with explicit expressions are constructed for the high-order constrained flows of the AKNS hierarchy. It is shown that these BTs are canonical transformations including the Bäcklund parameter η and a spectrality property holds with respect to η and the 'conjugated' variable μ for which the point (η, μ) belongs to the spectral curve. In addition, the formulae of m-times repeated Darboux transformations for the high-order constrained flows of the AKNS hierarchy are presented.
Citation Format(s)
Bäcklund transformations for high-order constrained flows of the AKNS hierarchy: Canonicity and spectrality property. / Zeng, Yunbo; Dai, Huihui; Song, Jinping.
In: Journal of Physics A: Mathematical and General, Vol. 35, No. 4, 01.02.2002, p. 1095-1108.
In: Journal of Physics A: Mathematical and General, Vol. 35, No. 4, 01.02.2002, p. 1095-1108.
Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal
