On the Linearization of the Painleve' III-VI Equations and Reductions of the Three-Wave Resonant System

N. Joshi, A. V. Kitaev, P. A. Treharne

We extend similarity reductions of the coupled (2+1)-dimensional three-wave resonant interaction system to its Lax pair. Thus we obtain new 3x3 matrix Fuchs--Garnier pairs for the…