The unified transform method for the Sasa-Satsuma equation on the half-line

Proc Math Phys Eng Sci. 2013 Nov 8;469(2159):20130068. doi: 10.1098/rspa.2013.0068.

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.

Keywords: Riemann–Hilbert problem; Sasa–Satsuma equation; initial-boundary value problem.