title: The unified transform method for the Sasa-Satsuma equation on the half-line.
abstract: We implement the unified transform method to the initial-boundary value (IBV) problem of the Sasa-Satsuma equation on the half line. In addition to presenting the basic Riemann-Hilbert formalism, which linearizes this IBV problem, we also analyse the associated general Dirichlet to Neumann map using the so-called global relation.
authors.affiliation: School of Mathematical Science and Key Laboratory of Mathematics for Nonlinear Science , Fudan University , Shanghai 200433, People's Republic of China.
authors.forename: Jian
authors.initials: J
authors.lastname: Xu
authors.forename: Engui
authors.initials: E
authors.lastname: Fan
keywords: Riemann–Hilbert problem; Sasa–Satsuma equation; initial-boundary value problem