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The initial value problem for hyperbolic integrable systems are frequently given on a finite or semi-infinite interval.In these cases, simplifications to the solution of the Marchenko equations can be given [1].The common features of all these problems is that the initial value problem is a Goursat problem and the asymptotic form of the effective reflection coefficients is stationary[2].One feature of the latter is that all contributions of the continuous spectra (radiation) becomes equivalent to countable set of pure solitons and/or virtual solitons [3].This procedure is of interest for solving initial-boundary value problems by the inverse scattering transform applied to a semi-infinite or finite interval.