output
20172024
most citedNonintegrability of the unfoldings of codimension-two bifurcations

13 citations

5 papers

astro-ph.GA2024★ 7 cited

Sulfur-bearing molecules in a sample of early star-forming cores

N. C. Martinez, S. Paron, M. E. Ortega +5

The sulfur content in dense molecular regions of the interstellar medium is highly depleted in comparison to diffuse clouds. The reason of this phenomenon is unclear, thus it is ne…

math.DS2019★ 13 cited

Nonintegrability of the unfoldings of codimension-two bifurcations

Primitivo B. Acosta-Humánez, Kazuyuki Yagasaki

Codimension-two bifurcations are fundamental and interesting phenomena in dynamical systems. Fold-Hopf and double-Hopf bifurcations are the most important among them. We study the…

math-ph2018

Liouvillian Solutions of Schrödinger Equation with Polynomial Potentials using Gröbner Basis

Primitivo Belén Acosta-Humánez, Henock Venegas-Gómez

The main aim of this paper is the presentation of a new methodology to obtain Liouvillian solutions of stationary one dimensional Schrödinger equation with quasi-solvable polynomia…

quant-ph2018★ 6 cited

Generalized Lennard-Jones Potentials, SUSYQM and Differential Galois Theory

Manuel F. Acosta-Humánez, Primitivo B. Acosta-Humánez, Erick Tuirán

In this paper we start with proving that the Schrödinger equation (SE) with the classical Lennard-Jones (L-J) potential is nonintegrable in the sense of the differential Gal…

math.CA2017★ 2 cited

Variations for Some Painlevé Equations

Primitivo B. Acosta-Humánez, Marius van der Put, Jaap Top

This paper first discusses irreducibility of a Painlevé equation . We explain how the Painlevé property is helpful for the computation of special classical and algebraic solutio…