DENSE CONFIGURATION OF SOLITONS IN RESONANT 4-WAVE-MIXING

A set of integrable four-wave mixing models arising in a medium with a resonant transition is presented. A suitable modification of the inve rse scattering transform is constructed and used to find a common one- phase periodic solution of the evolution equations. The Whitham equati ons describing the dynamics of slowly changing parameters are found. T heir solution is used for a description of the evolution of light puls es with sharp leading edges. The possible application of the results f or the analysis of the evolution of dense packets of solitons is discu ssed.