Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 130

Small-Amplitude Solutions of the Sine-Gordon Equation on an Interval under Dirichlet or Neumann Boundary Conditions

A. I. Bobenko, S. Kuksin

J. of Nonlinear Science 5 (1995) 207-232

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 SG equation by means of the Schottky uniformization approach. There are two figures which are included as a separate file.

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