Analytical soliton solutions of the three-wave interaction equations are shown to exhibit high power conversion for a range of nonlinear materials with no satellite peaks and energy conversion close to 100%. Related numerical solutions that yield power conversion up to 10 times those of the initial waves with less than 3% energy in the small satellite peaks and high-energy efficiency are exhibited for KDP crystals; substantial compression of the fundamental pulses is observed in this case.
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Ibragimov et al. (1996) studied this question.