2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187259We consider the dynamical correlation functions of the quantum Nonlinear Schrodinger equation. In a previous paper we found that the dynamical correlation functions can be described by the vacuum expectation value of an operator-valued Fredholm determinant. In this paper we show that a Riemann-Hilbert problem can be associated with this Fredholm determinant. This Riemann-Hilbert problem formulation permits us to write down completely integrable equations for the Fredholm determinant and to perform an asymptotic analysis for the correlation function.21 pages, Latex, no figuresHigh Energy Physics - TheoryCondensed MatterQuantum AlgebraExactly Solvable and Integrable Systemstext