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

被引：1

作者：

BOBENKO, AI ^{[1
]}

KUKSIN, SB ^{[1
]}

机构：

[1] ETH ZENTRUM,FIM,CH-8092 ZURICH,SWITZERLAND

来源：

JOURNAL OF NONLINEAR SCIENCE | 1995年 / 5卷 / 03期

关键词：

SINE-GORDON EQUATION; DIRICHLET BOUNDARY CONDITIONS; NEUMANN BOUNDARY CONDITIONS; SCHOTTKY UNIFORMIZATION;

D O I：

10.1007/BF01212955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：207 / 232

页数：26

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