37 citations · 57 across the 5 of their papers we have counts for
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Direct "Delay" Reductions of the Toda Equation
Nalini Joshi
A new direct method of obtaining reductions of the Toda equation is described. We find a canonical and complete class of all possible reductions under certain assumptions. The resu…
Bäcklund transformations for fourth Painlevé hierarchies
Pilar R. Gordoa, Nalini Joshi, Andrew Pickering
Bäcklund transformations (BTs) for ordinary differential equations (ODEs), and in particular for hierarchies of ODEs, are a topic of great current interest. Here we give an improve…
Generating Function Associated with the Determinant Formula for the Solutions of the Painleve' II Equation
Nalini Joshi, Kenji Kajiwara, Marta Mazzocco
In this paper we consider a Hankel determinant formula for generic solutions of the Painleve' II equation. We show that the generating functions for the entries of the Hankel deter…
Truncation-type methods and Backlund transformations for ordinary differential equations: the third and fifth Painleve equations
P. R. Gordoa, N. Joshi, A. Pickering
In a recent paper we presented a truncation-type method of deriving Backlund transformations for ordinary differential equations. This method is based on a consideration of truncat…