On KP Multi–Soliton Solutions Associated To Rational Degenerations Of Real Hyperelliptic Curves

Simonetta Abenda


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.


Total positivity; KP equation; real solitons; M-curves; hyperelliptic curves; duality of Grassmann cells via space–time transformations

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DOI: 10.6092/issn.2240-2829/5976


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