title: |
The Klein-Gordon Equation on the Half Line: a Riemann-Hilbert Approach |
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publication: |
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| volume-issue: | 15 - supplement 3 | |
| pages: | 334 - 344 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2008.15.s3.32 (how to use a DOI) | |
author(s): |
Beatrice Pelloni, Dimitrios A. Pinotsis |
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publication date: |
October 2008 |
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abstract: |
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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |