A Riemann-Hilbert Approach to Complex Sharma-Tasso-Olver Equation on Half Line

In this paper, the Fokas unified method is used to analyze the initial-boundary value problem of a complex Sharma-Tasso-Olver （cSTO） equation on the half line. We show that the solution can be expressed in terms of the solution of a Riemann-Hilbert problem. The relevant jump matrices are explicitly...

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Bibliographic Details
Published in:理论物理通讯：英文版 2017, Vol.67 (11), p.580-594
Main Authors: 张宁, 夏铁成, 胡贝贝
Format: Article
Language:English
Online Access:Get full text
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Summary:In this paper, the Fokas unified method is used to analyze the initial-boundary value problem of a complex Sharma-Tasso-Olver （cSTO） equation on the half line. We show that the solution can be expressed in terms of the solution of a Riemann-Hilbert problem. The relevant jump matrices are explicitly given in terms of the matrix-value spectral functions spectral functions {a（λ）, b（A）} and {A（λ）, B（λ）}, which depending on initial data uo（ x ） = u（ x, 0） and boundary data go（y） = u（0, y）, gl（y） = us（0, y）, g2（y） = uxx（0, y）. These spectral functions are not independent, they satisfy a global relation.
ISSN:0253-6102