5 citations · 7 across the 7 of their papers we have counts for
7 papers
The integrable Volterra system in the case of infinitely many species, either countable or uncountable
Orlando Ragnisco, Federico Zullo
In the present paper we derive a further extension of the results contained in two recent articles, both published in Open Communications in Nonlinear Mathematical Physics, where i…
The N-species integrable Volterra system as a maximally superintegrable Hamiltonian system
Orlando Ragnisco, Federico Zullo
The results presented in this paper are a natural development of those described in the paper {\it The Volterra Integrable case. Novel analytical and numerical results} (OCNMP Vol.…
Unified structures for solutions of Painlevé equation II and Somos-4 like relations for the tau functions
Federico Zullo, Maria Grazia Naso, Elena Vuk
We present certain general structures related to the solutions of Painlevé equation II and to the solutions of the differential equation satisfied by the corresponding Hamiltonian…
The Volterra Integrable case. Novel analytical and numerical results
M. Scalia, O. Ragnisco, B. Tirozzi +1
In the present paper we reconsider the integrable case of the Hamiltonian -species Volterra system, as it has been introduced by Vito Volterra in 1937 and significantly enrich t…
Integrable maps in 4D and modified Volterra lattices
A. N. W. Hone, J. A. G. Roberts, P. Vanhaecke +1
In recent work, we presented the construction of a family of difference equations associated with the Stieltjes continued fraction expansion of a certain function on a hyperellipti…
Hirota bilinear equations for Painlevé transcendents
A. N. W. Hone, F. Zullo
We present some observations on the tau-function for the fourth Painlevé equation. By considering a Hirota bilinear equation of order four for this tau-function, we describe the ge…
Properties of the series solution for Painleve I
A. N. W. Hone, O. Ragnisco, F. Zullo
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painleve equation. For the general solution,…