Small-amplitude solutions of the sine-Gordon equation on an interval under dirichlet or Neumann boundary conditions |
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| Authors: | A. I. Bobenko S. B. Kuksin |
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| Affiliation: | (1) Fachbereich Mathematik, TU Berlin, Strasse des 17 Juni 136, 10623 Berlin, Germany;(2) FIM, ETH-Zentrum, CH-8092 Zürich, Switzerland |
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| Abstract: | ![]()
Summary We give a complete classification of the small-amplitude finite-gap solutions of the sine-Gordon (SG) equation on an interval under Dirichlet or Neumann boundary conditions. Our classification is based on an analysis of the finite-gap solutions of the boundary problems for the SG equation by means of the Schottky uniformization approach.On leave from IPPI, Moscow, Russia |
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| Keywords: | sine-Gordon equation Dirichlet boundary conditions Neumann boundary conditions Schottky uniformization |
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