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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 |
| Item Type | Article |
| 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 |
| Download/View statistics | View download statistics for this item |
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