111 citations · 142 across the 7 of their papers we have counts for
8 papers
On the autonomisation of differential equations I: Sundman transformations for Painlevé equations I-IV
Pilar R. Gordoa, Alexandru Iosif, Andrew Pickering
We consider the application of Sundman transformations to the first four Painlevé equations -, with and being left for future work. Since the Painlevé e…
Equivalence and finite time blow-up of solutions and interfaces for two nonlinear diffusion equations
Benito Hernández-Bermejo, Razvan Gabriel Iagar, Pilar R. Gordoa +2
In this work, we construct a transformation between the solutions to the following reaction-convection-diffusion equation posed f…
The Prelle-Singer method and Painlevé hierarchies
P R Gordoa, A Pickering, M Senthilvelan
We consider systems of ordinary differential equations (ODEs) of the form , where is a Hamiltonian operator of a completely integrable partial diffe…
A note on the Painleve analysis of a (2+1) dimensional Camassa-Holm equation
P. R. Gordoa, A. Pickering, M. Senthilvelan
We investigate the Painleve analysis for a (2+1) dimensional Camassa-Holm equation. Our results show that it admits only weak Painleve expansions. This then confirms the limitation…
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…
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…