|
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
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.
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
Linking options:
https://www.mathnet.ru/eng/tmf6390https://doi.org/10.4213/tmf6390 https://www.mathnet.ru/eng/tmf/v160/i1/p189
|
Statistics & downloads: |
Abstract page: | 437 | Full-text PDF : | 186 | References: | 57 | First page: | 7 |
|