A special addition theorem for theta-functions and nonlinear equations
type: Item
instance of: scholarly article
title: A special addition theorem for theta-functions and nonlinear equations
zbMATH Open document ID: 0920.14022
author: S. G. Sadovnichuk
author: R. K. Romanovskii
published in: Siberian Mathematical Journal
publication date: 1999-05-11T00:00:00Z
review text: In the article under review, the authors derive some consequences from the Mumford theorem characterizing the Jacobi varieties of hyperelliptic algebraic curves in terms of theta-constants. These formulas, treated as special addition theorems for the corresponding theta-functions, are applied to effectivization of theta-functional formulas for finite gap solutions to the Korteweg-de Vries and sine-Gordon equations.
Mathematics Subject Classification ID: 14K25
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 1286057
zbMATH Keywords: theta-function
zbMATH Keywords: soliton
zbMATH Keywords: Jacobi varieties
zbMATH Keywords: hyperelliptic algebraic curves
zbMATH Keywords: theta-constant
reviewed by: I. A. Taimanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1286057