Solitons in stimulated Raman scattering and resonant two-photon propagation

We are starting from equations of motion describing both stimulated Raman scattering and resonant two-photon absorption and emission processes. Application of the Estabrook-Wahlquist method leads to a system of differential equations whose integrability conditions are the original equations. This system is used as the starting point for applying the inverse scattering method. Implicit N-soliton formulae and explicit one-soliton formulae are derived. Possible applications under specified experimental conditions are discussed.