The Klein-Gordon Equation on the Half Line: a Riemann-Hilbert Approach

被引：5
|
作者：
Pelloni, Beatrice [1 ]
Pinotsis, Dimitrios A. [1 ]
机构：
[1] Univ Reading, Dept Math, Reading RG6 6AX, Berks, England
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / Suppl 3期
基金：
英国工程与自然科学研究理事会;
关键词：
D O I：
10.2991/jnmp.2008.15.s3.32
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We solve an initial-boundary problem for the Klein-Gordon equation on the half line using the Riemann-Hilbert approach to solving linear boundary value problems advocated by Fokas. The approach we present can be also used to solve more complicated boundary value problems for this equation, such as problems posed on time-dependent domains. Furthermore, it can be extended to treat integrable nonlinearisations of the Klein-Gordon equation. In this respect, we briefly discuss how our results could motivate a novel treatment of the sine-Gordon equation.
引用
收藏
页码：334 / 344
页数：11
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