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

Ning Zhang , Tiecheng Xia , Beibei Hu

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classification 🧮 math-ph math.MPnlin.PSnlin.SI

keywords complexequationhalflinesharma-tasso-olveranalyzeapproachcsto

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In this paper, we use the Fokas method to analyze the complex Sharma-Tasso-Olver(cSTO) equation on the half line. We show that it can be represented in terms of the solution of a matrix RHP formulated in the plane of the complex spectral parameter {\lambda}.

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

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