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An integrable generalization of the sine-Gordon equation on the half-line
Baylor University, United States .ORCID iD: 0000-0001-6191-7769
2011 (English)In: IMA Journal of Applied Mathematics, ISSN 0272-4960, E-ISSN 1464-3634, Vol. 76, no 4, 554-572 p.Article in journal (Refereed) Published
Abstract [en]

We analyse a generalization of the sine-Gordon equation in laboratory coordinates on the half-line. Using the Fokas transform method for the analysis of initial boundary-value problems for integrable partial differential equations, we show that the solution u(x, t) can be constructed from the initial and boundary values via the solution of a 2 × 2-matrix Riemann-Hilbert problem.

Place, publisher, year, edition, pages
2011. Vol. 76, no 4, 554-572 p.
Keyword [en]
boundary-value problem, inverse spectral theory, Riemann-Hilbert problem, Boundary values, Half-line, Initial-boundary value problems, Riemann Hilbert problems, Sine-Gordon equation, Spectral theory, Transform methods, Boundary value problems, Inverse problems, Partial differential equations
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URN: urn:nbn:se:kth:diva-163810DOI: 10.1093/imamat/hxq049ISI: 000293620400004ScopusID: 2-s2.0-80051688328OAI: diva2:802384

QC 20150427

Available from: 2015-04-13 Created: 2015-04-12 Last updated: 2015-04-27Bibliographically approved

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Lenells, Jonatan
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