The Fokas Method for the Broer-Kaup System on the Half-Line

Abstract We analyze the Broer-Kaup system posed on half-line by using unified transform method, also known as Fokas method. derive formal representation of solution for in terms matrix Riemann-Hilbert problem formulated complex plane spectral parameter. The jump is uniquely defined functions that satisfy a certain relation, called global relation involving initial and boundary values. Furthermore, constructed from values are investigated, plus their associated problems inverse problems.