The theory of frequency-degenerate six-wave mixing of ultra-short light pulses in a medium with relaxing Kerr nonlinearity is developed. The energetic and temporal output characteristics are analyzed as functions of parameters of medium and pump pulses. For certain delay time between pump pulses, the parametric gain of the signal and conjugated pulse in whole medium length is maximized. An effect of the counter-propagating pump pulse compression is predicted. The dynamics of transition between six-wave mixing and four-wave with a change of an angle between the pump and signal propagation directions is studied.
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