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

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