Sine-Gordon equation on the semi-axis

被引：7

作者：

Khabibullin, IT ^{[1
]}

机构：

[1] Russian Acad Sci, Ural Sci Ctr, Inst Math, Ufa 450001, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1998年 / 114卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1007/BF02557111

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the sine-Gordon equation u(tt) - u(xx) + sin u = 0 on the semi-axis x > 0. We show that boundary conditions of the forms u(x)(0, t) = c(1)cos(u(0, t)/2) + c(2)sin(u(0, t)/2) and u(0, t) = c are compatible with the Backlund transformation. We construct a multisoliton solution satisfying these boundary conditions.

引用

页码：90 / 98

页数：9

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