3 papers
nlin.SI2025
Liouvillian integrability of vector fields in higher dimensions
Waleed Aziz, Colin Christopher, Chara Pantazi +1
We consider complex rational vector fields in dimension (equivalently, differential forms of degree in variables) which admit a Liouvillian first integral. Extendin…
nlin.SI2023
Liouvillian integrability of three dimensional vector fields
Waleed Aziz, Colin Christopher, Chara Pantazi +1
We consider a three dimensional complex polynomial, or rational, vector field (equivalently, a two-form in three variables) which admits a Liouvillian first integral. We prove that…
nlin.SI2020
Integrability and linearizability conditions for a cubic Lotka-Volterra systems
Hersh M. Saber, Waleed H. Aziz
The main objective of this work is to investigate the integrability and linearizability problems around a singular point at the origin of the family of differential systems Particu…