Antonio J. Pan-Collantes
Mathematics Professor at the University of Cádiz. My work focuses on the intersection of geometry and analysis, exploring symmetries in differential equations, solvable structures, and their applications in mathematical physics.
Explore My ResearchTeaching
University of Cádiz
- B.Sc. in Computer Engineering: Algebra
- B.Sc. in Marine Sciences: Mathematics
- B.Sc. in Chemical Engineering: Mathematics I & Advanced Mathematics
Secondary & High School
Experience at IES San Juan de Dios teaching:
- Core Subjects: Mathematics & Computer Science
- Specialized Field: Robotics
Research & Publications
My research explores the underlying structures of differential equations. Here is a selection of my published papers, preprints, and other academic contributions.
Published Papers
- Surfaces associated with first-order ODEs, A. J. Pan-Collantes, J. A. Álvarez-García – Mediterranean Journal of Mathematics, 22, 100, 2025. (preprint)
- Classification of traveling wave solutions of the modified Zakharov–Kuznetsov equation, A. J. Pan-Collantes, C. Muriel, A. Ruiz – Chaos, Solitons & Fractals, 193, 116091, 2025. (preprint)
- Autonomous second-order ODEs: a geometric approach, A. J. Pan-Collantes, J. A. Álvarez-García – Axioms, 13(11), 788, 2024. (preprint)
- Integrable (3+1)-dimensional generalization for dispersionless Davey–Stewartson system, A. J. Pan-Collantes – Qualitative Theory of Dynamical Systems, 23, 151, 2024. (preprint)
- Integration of Differential Equations by 𝓒∞-structures, A. J. Pan-Collantes, C. Muriel, A. Ruiz – Mathematics, 11(18), 3897, 2023. (preprint)
- 𝓒∞-structures in the integration of involutive distributions, A. J. Pan-Collantes, A. Ruiz, C. Muriel, J. L. Romero – Physica Scripta, 98(8):085222, 2023. (preprint)
- 𝓒∞-symmetries of distributions and integrability, A. J. Pan-Collantes, A. Ruiz, C. Muriel, J. L. Romero – Journal of Differential Equations, 348(4–5):126, 2023. (preprint)
- On the singular scheme of codimension one holomorphic foliations in ℙ³, L. Giraldo, A. J. Pan-Collantes – International Journal of Mathematics, 2010. (preprint)
Preprints
- First Integrals Without Integrating Factors or Symmetries (2025)
- Classification of the travelling wave solutions to the Sharma–Tasso–Olver equation (2025)
Book Chapters
- Integration of first-order ODEs by Jacobi fields (2025)
PhD Thesis
New methods for the integration of distributions of vector fields.
Research Stays
- Slezská univerzita, Opava (CZ)
- Università Degli Studi Di Milano, Milan (IT)
- IMPA, Angra dos Reis (BR)