By using the inverse spectral transform, the stimulated Raman scattering equations are solved and the explicit output data are given for arbitrary laser pump and Stokes seed profiles injected on a vacuum of optical phonons. For long duration laser pulses, this solution is modified so as to take into account the damping rate of the optical phonon wave. This model is used to interpret the experiments of Dr\"uhl, Wenzel, and Carlsten [Phys. Rev. Lett. 51, 1171 (1983)], in particular, the creation of a spike of (anomalous) pump radiation. The related nonlinear Fourier spectrum does not contain discrete eigenvalues, hence this Raman spike is not a soliton.
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Claude et al. (1995) studied this question.
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