12 citations · 27 across the 10 of their papers we have counts for
10 papers
Exact integration of Hamiltonian dynamics via Jacobi and Poisson Cinf-structures
A. J. Pan-Collantes, C. Sardón, X. Zhao
We develop a geometric framework for the exact integration of Hamiltonian systems based on triangular closure relations among a finite family of functions. Unlike Liouville-Arnold…
Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation
A. J. Pan-Collantes, C. Muriel, A. Ruiz
The -structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov--Ku…
Autonomous second-order ODEs: a geometric approach
Antonio J. Pan-Collantes, Jose A. Alvarez-Garcia
Given an autonomous second-order ordinary differential equation (ODE), we define a Riemannian metric on an open subset of the first-order jet bundle. A relationship is established…
Integration of first-order ODEs by Jacobi fields
A. J. Pan-Collantes, J. A. Alvarez-Garcia
A new class of vector fields enabling the integration of first-order ordinary differential equations (ODEs) is introduced. These vector fields are not, in general, Lie point symmet…
Surfaces associated with first-order ODEs
Antonio J. Pan-Collantes, José A. Álvarez-García
A link between first-order ordinary differential equations (ODEs) and 2-dimensional Riemannian manifolds is explored. Given a first-order ODE, an associated Riemannian metric on th…
Integrable (3+1)-dimensional generalization for dispersionless Davey--Stewartson system
Antonio J. Pan-Collantes
This paper introduces a (3+1)-dimensional dispersionless integrable system, utilizing a Lax pair involving contact vector fields, in alignment with methodologies presented by A. Se…