Algebrogeometric solutions of the nonlinear boundary problem on a segment for the sine-Gordon equation
type: Item
instance of: scholarly article
title: Algebrogeometric solutions of the nonlinear boundary problem on a segment for the sine-Gordon equation
zbMATH Open document ID: 0811.35119
DOI: 10.1007/BF01210432
published in: Mathematical Notes
publication date: 1994-04-12T00:00:00Z
review text: In dieser Arbeit wenden die Verff. eine algebro-geometrische Methode auf die sine-Gordon-Gleichung der Form \(u_{xx} - u_{tt} = \sin u\) mit den Randbedingungen \[ \left( u_ x + \theta_ 0 \sin \left. {u \over 2} \right) \right |_{x=0} = 0, \quad \left( u_ x + \theta_ 1 \sin \left. {u \over 2} \right) \right |_{x = 1} = 0, \quad \theta_ 0,\;\theta_ 1 \in \mathbb{R} \] an. Ein ähnliches aber etwas leichteres Problem mit nichthomogenen Randbedingungen auf dem Abschnitt \(u |_{x=0} = \varphi_ 0\), \(u |_{x=1} = \varphi_ 1\) haben die Verff. in einer früheren Arbeit gelöst.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 14H52
zbMATH DE Number: 525727
zbMATH Keywords: algebrogeometric solutions
zbMATH Keywords: nonlinear boundary problem
zbMATH Keywords: sine-Gordon equation
author: Ramil' F. Bikbaev
author: A. R. Its
reviewed by: Miloš Čanak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 525727