Explicit construction of group varieties related to soliton solutions of the KP hierarchy
type: Item
instance of: scholarly article
title: Explicit construction of group varieties related to soliton solutions of the KP hierarchy
zbMATH Open document ID: 0814.14042
DOI: 10.1007/BF01759318
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1995-06-22T00:00:00Z
review text: Relating group varieties to certain solutions of the Kadomtsev- Petviashvili (KP) hierarchy, the author applies an earlier result to a special class of solutions which are of partitular interest in physics -- the so-called \(N\)-solitons. He shows by explicit computations that these solutions are actually holomorphic theta types and that the related group varieties are direct products of the multiplicative group of the ground field \(k\).
Mathematics Subject Classification ID: 14K25
Mathematics Subject Classification ID: 14F10
Mathematics Subject Classification ID: 14L10
zbMATH DE Number: 495897
zbMATH Keywords: theta-functions
zbMATH Keywords: Kadomtsev-Petviashvili hierarchy
zbMATH Keywords: KP hierarchy
zbMATH Keywords: \(N\)- solitons
zbMATH Keywords: group varieties
author: Francesco Bottacin
reviewed by: Thomas Siebert
MaRDI profile type: Publication
cites work: Q5590570
cites work: Group varieties related to the KP hierarchy
cites work: Q3688825
cites work: Q5602064
cites work: Alcuni elementi di teoria degli ipercorpi
cites work: Tata lectures on theta. III
cites work: Characterization of Jacobian varieties in terms of soliton equations
full work available at URL: https://doi.org/10.1007/bf01759318
OpenAlex ID: W2094237810
description: scientific article; zbMATH DE number 495897