Using the technique introduced in [1], 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.
@article{5976,
title = {On KP Multi--Soliton Solutions Associated To Rational Degenerations Of Real Hyperelliptic Curves},
journal = {Bruno Pini Mathematical Analysis Seminar},
year = {2015},
doi = {10.6092/issn.2240-2829/5976},
language = {EN},
url = {http://dml.mathdoc.fr/item/5976}
}
Abenda, Simonetta. On KP Multi–Soliton Solutions Associated To Rational Degenerations Of Real Hyperelliptic Curves. Bruno Pini Mathematical Analysis Seminar, (2015), . doi : 10.6092/issn.2240-2829/5976. http://gdmltest.u-ga.fr/item/5976/