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Spectral analysis of the elliptic sine-Gordon equation in the quarter plane

Pelloni, B. (2009) Spectral analysis of the elliptic sine-Gordon equation in the quarter plane. Theoretical and Mathematical Physics, 160 (1). pp. 1031-1041. ISSN 0040-5779

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Official URL: http://www.springerlink.com/content/26l450817553w2...

Abstract/Summary

We study the elliptic sine-Gordon equation in the quarter plane using a spectral transform approach. We determine the Riemann-Hilbert problem associated with well-posed boundary value problems in this domain and use it to derive a formal representation of the solution. Our analysis is based on a generalization of the usual inverse scattering transform recently introduced by Fokas for studying linear elliptic problems.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:7542
Uncontrolled Keywords:elliptic sine-Gordon equation - nonlinear boundary value problem - Riemann-Hilbert problem
Additional Information:DOI (links to Russian version): 10.1007/s11232-009-0094-3
Publisher:Springer Verlag

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