37 citations · 79 across the 3 of their papers we have counts for
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math.CA2008★ 15 cited
On the Linearization of the First and Second Painleve' Equations
N. Joshi, A. V. Kitaev, P. A. Treharne
We found Fuchs--Garnier pairs in 3X3 matrices for the first and second Painleve' equations which are linear in the spectral parameter. As an application of our pairs for the second…
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…