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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 1, Pages 189–201
DOI: https://doi.org/10.4213/tmf6390 (Mi tmf6390) 		 
This article is cited in 12 scientific papers (total in 12 papers)

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

B. Pelloni

University of Reading
Full-text PDF (421 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf6390
Abstract: 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.
Keywords: elliptic sine-Gordon equation, nonlinear boundary value problem, Riemann–Hilbert problem.
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 1, Pages 1031–1041
DOI: https://doi.org/10.1007/s11232-009-0094-3
Bibliographic databases:
Language: Russian
Citation: B. Pelloni, “Spectral analysis of the elliptic sine-Gordon equation in the quarter plane”, TMF, 160:1 (2009), 189–201; Theoret. and Math. Phys., 160:1 (2009), 1031–1041
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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\pages 1031--1041
\crossref{https://doi.org/10.1007/s11232-009-0094-3}
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  • https://doi.org/10.4213/tmf6390
  • https://www.mathnet.ru/eng/tmf/v160/i1/p189
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:437
    Full-text PDF :186
    References:57
    First page:7
     
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