Solution of SRS on the finite interval

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The equations of transient stimulated Raman scattering on the finite interval are solved by the spectral transform method on the semi-line. As the problem has a free end, the pump and Stokes output at finite distance can be constructed as the solution of a linear Cauchy-Green integral equation.
Revised version, Submitted to Phys. Lett. A, revtex, NO figure

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