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

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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

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.

Additional Information DOI (links to Russian version): 10.1007/s11232-009-0094-3
Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/7542
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
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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