Using the technique introduced in S. Abenda, P.G. Grinevich (arXiv:1506.00563 submitted), we explain the relations between the description of KP–multisolitons in the Sato Grassmannian and in finite–gap theory in the special cases GrTP(1, M) and GrTP(M − 1, M) where the multisolitons may be associated to Krichever data on rational degenerations of regular hyperelliptic M–curves of genus M − 1.
Abenda, S. (2015). On KP multi-soliton solutions associated to rational degenerations of real hyperelliptic curves. BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 1, 138-157 [10.6092/issn.2240-2829/5976].
On KP multi-soliton solutions associated to rational degenerations of real hyperelliptic curves
ABENDA, SIMONETTA
2015
Abstract
Using the technique introduced in S. Abenda, P.G. Grinevich (arXiv:1506.00563 submitted), we explain the relations between the description of KP–multisolitons in the Sato Grassmannian and in finite–gap theory in the special cases GrTP(1, M) and GrTP(M − 1, M) where the multisolitons may be associated to Krichever data on rational degenerations of regular hyperelliptic M–curves of genus M − 1.File in questo prodotto:
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