22 citations · 62 across the 10 of their papers we have counts for
12 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…
Asymptotic Analysis of discrete nonlinear localised modes in a Kagome lattice
Jonathan AD Wattis, Pilar R Gordoa, Andrew Pickering
We describe a nonlinear kagome lattice with nonlinear dynamics described by Klein-Gordon interactions with a scalar unknown at each node, such as might occur in a nonlinear electri…
Sundman-like transformations and the NRT nonlinear Schrödinger equation
P. R. Gordoa, A. Pickering, D. Puertas-Centeno +1
We present a new generalization of the well-known power-type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. O…
Generalized and new solutions of the NRT nonlinear Schrödinger equation
P. R. Gordoa, A. Pickering, D. Puertas-Centeno +1
In this paper we present new solutions of the non-linear Schröodinger equation proposed by Nobre, Rego-Monteiro and Tsallis for the free particle, obtained from different Lie symme…
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…