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

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math.CA2007★ 37 cited

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…