SMALL-AMPLITUDE SOLUTIONS OF THE SINE-GORDON EQUATION ON AN INTERVAL UNDER DIRICHLET OR NEUMANN BOUNDARY-CONDITIONS

Authors
BOBENKO AI KUKSIN SB
Citation
Ai. Bobenko et Sb. Kuksin, SMALL-AMPLITUDE SOLUTIONS OF THE SINE-GORDON EQUATION ON AN INTERVAL UNDER DIRICHLET OR NEUMANN BOUNDARY-CONDITIONS, Journal of nonlinear science, 5(3), 1995, pp. 207-232
Citations number
18
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,Mechanics
Journal title
Journal of nonlinear science → ACNP
ISSN journal
09388974
Volume
5
Issue
3
Year of publication
1995
Pages
207 - 232
Database
ISI
SICI code
0938-8974(1995)5:3<207:SSOTSE>2.0.ZU;2-3
Abstract
We give a complete classification of the small-amplitude finite-gap so lutions of the sine-Gordon (SG) equation on an interval under Dirichle t or Neumann boundary conditions. Our classification is based on an an alysis of the finite-gap solutions of the boundary problems for the SG equation by means of the Schottky uniformization approach.