All Stories

  1. Kadomtsev-Petviashvili hierarchies with non-formal pseudo-differential operators, non-formal solutions, and a Yang-Mills–like formulation

    Article • Physics Letters B, August 2025, Elsevier

    Enrique Reyes, Jean-Pierre Magnot

  2. Towards a theory of homotopy structures for differential equations: First definitions and examples

    Article • Journal of Differential Equations, December 2024, Elsevier

    Enrique Reyes, Jean-Pierre Magnot

  3. Linear equations with infinitely many derivatives and explicit solutions to zeta nonlocal equations

    Article • Nuclear Physics B, October 2024, Elsevier

    Enrique Reyes

  4. Fifth-order equations of Camassa-Holm type and pseudo-peakons

    Article • Applied Numerical Mathematics, May 2024, Elsevier

    Enrique Reyes

  5. On Equation Manifolds, the Vinogradov Spectral Sequence, and Related Diffeological Structures

    Article • Symmetry, February 2024, MDPI AG

    Enrique Reyes, Jean-Pierre Magnot

  6. Symmetry and asymptotic solutions for a magnetohydrodynamics Darcy–Forchheimer flow with a p-Laplacian operator

    Article • Physics of Fluids, January 2024, American Institute of Physics

    Enrique Reyes

  7. Diffeologies and generalized Kadomtsev-Petviashvili hierarchies

    Article • January 2024, American Mathematical Society (AMS)

    Enrique Reyes, Jean-Pierre Magnot

  8. On the Cauchy problem for a Kadomtsev-Petviashvili hierarchy on non-formal operators and its relation with a group of diffeomorphisms

    Article • Dynamics of Partial Differential Equations, January 2024, International Press of Boston

    Enrique Reyes, Jean-Pierre Magnot

  9. Nonlinear dynamics in eyring-powell fluid flow with darcy-forchheimer effects. An asymptotic analysis

    Article • Physica Scripta, December 2023, Institute of Physics Publishing

    Enrique Reyes

  10. A Kadomtsev–Petviashvili Hierarchy Driven by Equation Manifolds

    Article • Lobachevskii Journal of Mathematics, September 2023, Pleiades Publishing Ltd

    Enrique Reyes, Jean-Pierre Magnot

  11. Analysis of a fire extinguishing model with a p-Laplacian operator and with non-linear advection and reaction

    Article • Physica Scripta, July 2023, Institute of Physics Publishing

    Enrique Reyes

  12. Editorial Comment: Topical Reviews

    Article • Journal of Nonlinear Mathematical Physics, June 2023, Springer Science + Business Media

    Enrique Reyes

  13. Frölicher structures, diffieties, and a formal KP hierarchy

    Article • January 2023, American Mathematical Society (AMS)

    Enrique Reyes, Jean-Pierre Magnot

  14. Generalized Kadomtsev-Petviashvili: a universal two-dimensional integrable system

    Article • Journal of Mathematical Physics, September 2022, American Institute of Physics

    Enrique Reyes, Jean-Pierre Magnot, Vladimir Roubtsov

  15. Existence of smooth solutions for a class of Euclidean bosonic equations

    Article • Journal of Differential Equations, June 2022, Elsevier

    Enrique Reyes

  16. The Borel transform and linear nonlocal equations: applications to zeta-nonlocal field models

    Article • Advances in Theoretical and Mathematical Physics, January 2022, International Press of Boston

    Enrique Reyes

  17. Generalizing dendriform algebras: Dyckm-algebras, Rotam-algebras, and Rota–Baxter operators

    Article • International Journal of Geometric Methods in Modern Physics, August 2021, World Scientific Pub Co Pte Lt

    Enrique Reyes

  18. Massey products, A∞-algebras, differential equations, and Chekanov homology

    Article • Journal of Nonlinear Mathematical Physics, January 2021, Springer Science + Business Media

    Enrique Reyes

  19. Well-Posedness of the Kadomtsev–Petviashvili Hierarchy, Mulase Factorization, and Frölicher Lie Groups

    Article • Annales Henri Poincaré, March 2020, Springer Science + Business Media

    Jean-Pierre Magnot, Enrique Reyes

  20. Compacton equations and integrability: The rosenau-hyman and Cooper-Shepard-Sodano equations

    Article • Discrete and Continuous Dynamical Systems, January 2020, American Institute of Mathematical Sciences (AIMS)

    Enrique Reyes

  21. Nonlinear pseudo-differential equations defined by elliptic symbols on Lp(ℝn) and the fractional Laplacian

    Article • Israel Journal of Mathematics, May 2019, Springer Science + Business Media

    Enrique Reyes

  22. The Laplace transform and nonlocal field equations

    Article • January 2019, American Institute of Physics

    Enrique Reyes

  23. A Laplace transform approach to linear equations with infinitely many derivatives and zeta-nonlocal field equations

    Article • Advances in Theoretical and Mathematical Physics, January 2019, International Press of Boston

    Enrique Reyes

  24. Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras

    Article • Journal of Pure and Applied Algebra, August 2018, Elsevier

    Enrique Reyes

  25. Local and Nonlocal Symmetries in Mathematical Physics

    Article • Journal of Nonlinear Mathematical Physics, December 2017, Taylor & Francis

    Enrique Reyes

  26. The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra

    Article • Journal of Nonlinear Mathematical Physics, December 2017, Taylor & Francis

    Jean-Pierre Magnot, Enrique Reyes

  27. Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations

    Article • Journal of Nonlinear Mathematical Physics, June 2017, Taylor & Francis

    Enrique Reyes

  28. From Hopf fibrations to exotic causal replacements

    Article • October 2016, American Physical Society (APS)

    Enrique Reyes

  29. Nonlinear Evolution Equations with Infinitely Many Derivatives

    Article • Complex Analysis and Operator Theory, February 2016, Springer Science + Business Media

    Enrique Reyes

  30. Differential Equations with Infinitely Many Derivatives and the Borel Transform

    Article • Annales Henri Poincaré, November 2015, Springer Science + Business Media

    Humberto E Prado, Enrique Reyes

  31. The Ehlers–Geroch theorem on geodesic motion in general relativity

    Article • International Journal of Geometric Methods in Modern Physics, February 2015, World Scientific Pub Co Pte Lt

    Enrique Reyes

  32. Equations of Camassa–Holm type and the geometry of loop groups

    Article • Journal of Geometry and Physics, January 2015, Elsevier

    Enrique Reyes

  33. Formal Pseudodifferential Operators in One and Several Variables, Central Extensions, and Integrable Systems

    Article • Advances in Mathematical Physics, January 2015, Hindawi Publishing Corporation

    Enrique Reyes

  34. SOBOLEV SPACES ON LOCALLY COMPACT ABELIAN GROUPS AND THE BOSONIC STRING EQUATION

    Article • Journal of the Australian Mathematical Society, October 2014, Cambridge University Press

    Enrique Reyes

  35. On equations with infinitely many derivatives: integral transforms and the Cauchy problem

    Article • Journal of Physics Conference Series, March 2014, Institute of Physics Publishing

    Humberto E Prado, Enrique Reyes

  36. Sobolev Spaces on Locally Compact Abelian Groups: Compact Embeddings and Local Spaces

    Article • Journal of Function Spaces, January 2014, Hindawi Publishing Corporation

    Enrique Reyes

  37. NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY

    Article • International Journal of Geometric Methods in Modern Physics, August 2013, World Scientific Pub Co Pte Lt

    Enrique Reyes

  38. The Kadomtsev-Petviashvili hierarchy and the Mulase factorization of formal Lie groups

    Article • Journal of Geometric Mechanics, January 2013, American Institute of Mathematical Sciences (AIMS)

    Enrique Reyes

  39. THE RELLICH LEMMA ON COMPACT ABELIAN GROUPS AND EQUATIONS OF INFINITE ORDER

    Article • International Journal of Geometric Methods in Modern Physics, December 2012, World Scientific Pub Co Pte Lt

    Enrique Reyes

  40. On a General Class of Nonlocal Equations

    Article • Annales Henri Poincaré, September 2012, Springer Science + Business Media

    Humberto E Prado, Enrique Reyes

  41. The modified Hunter–Saxton equation

    Article • Journal of Geometry and Physics, August 2012, Elsevier

    Enrique Reyes

  42. The dual modified Korteweg-de Vries–Fokas–Qiao equation: Geometry and local analysis

    Article • Journal of Mathematical Physics, July 2012, American Institute of Physics

    Enrique Reyes

  43. The initial value problem for ordinary differential equations with infinitely many derivatives

    Article • Classical and Quantum Gravity, March 2012, Institute of Physics Publishing

    Enrique Reyes

  44. Jet Bundles, symmetries, Darboux transforms

    Article • January 2012, American Mathematical Society (AMS)

    Enrique Reyes

  45. Geometric Integrability of the Camassa–Holm Equation. II

    Article • International Mathematics Research Notices, July 2011, Oxford University Press (OUP)

    Enrique Reyes

  46. Equations of Pseudo-Spherical Type (After S.S. Chern and K. Tenenblat)

    Article • Results in Mathematics, July 2011, Springer Science + Business Media

    Enrique Reyes

  47. Functional calculus via Laplace transform and equations with infinitely many derivatives

    Article • Journal of Mathematical Physics, October 2010, American Institute of Physics

    Enrique Reyes

  48. The Modified Camassa-Holm Equation

    Article • International Mathematics Research Notices, September 2010, Oxford University Press (OUP)

    Enrique Reyes

  49. Remarks on Undecidability, Incompleteness and the Integrability Problem

    Article • International Journal of Theoretical Physics, August 2010, Springer Science + Business Media

    Enrique Reyes

  50. Completeness in quantum mechanics and the Weyl–Titchmarsh–Kodaira theorem

    Article • Journal of Physics A Mathematical and Theoretical, May 2010, Institute of Physics Publishing

    Enrique Reyes

  51. The Laplace Transform in the Study of Equations with Infinitely Many Derivatives

    Article • January 2010, American Institute of Physics

    Enrique Reyes

  52. Nonlinear Equations with Infinitely many Derivatives

    Article • Complex Analysis and Operator Theory, November 2009, Springer Science + Business Media

    Enrique Reyes

  53. Nonlocal symmetries and a Darboux transformation for the Camassa–Holm equation

    Article • Journal of Physics A Mathematical and Theoretical, April 2009, Institute of Physics Publishing

    Enrique Reyes

  54. EXPLICIT SOLUTIONS TO THE KAUP–KUPERSHMIDT EQUATION VIA NONLOCAL SYMMETRIES

    Article • International Journal of Bifurcation and Chaos, August 2007, World Scientific Pub Co Pte Lt

    Enrique Reyes

  55. On nonlocal symmetries of some shallow water equations

    Article • Journal of Physics A Mathematical and Theoretical, April 2007, Institute of Physics Publishing

    Enrique Reyes

  56. Pseudo-potentials, nonlocal symmetries and integrability of some shallow water equations

    Article • Selecta Mathematica, December 2006, Springer Science + Business Media

    Enrique Reyes

  57. Correspondence theorems for hierarchies of equations of pseudo-spherical type

    Article • Journal of Differential Equations, June 2006, Elsevier

    Enrique Reyes

  58. The soliton content of classical Jackiw–Teitelboim gravity

    Article • Journal of Physics A General Physics, December 2005, Institute of Physics Publishing

    Enrique Reyes

  59. Nonlocal symmetries and the Kaup–Kupershmidt equation

    Article • Journal of Mathematical Physics, June 2005, American Institute of Physics

    Enrique Reyes

  60. On the motion of particles and strings, presymplectic mechanics, and the variational bicomplex

    Article • General Relativity and Gravitation, March 2005, Springer Science + Business Media

    Enrique Reyes

  61. On Covariant Phase Space and the Variational Bicomplex

    Article • International Journal of Theoretical Physics, May 2004, Springer Science + Business Media

    Enrique Reyes

  62. On generalized Bäcklund transformations for equations describing pseudo-spherical surfaces

    Article • Journal of Geometry and Physics, March 2003, Elsevier

    Enrique Reyes

  63. Transformations of solutions for equations and hierarchies of pseudo-spherical type

    Article • Journal of Physics A General Physics, February 2003, Institute of Physics Publishing

    Enrique Reyes

  64. Geometric integrability of the Camassa-Holm equation

    Article • Letters in Mathematical Physics, January 2002, Springer Science + Business Media

    Enrique Reyes

  65. On formal integrability of evolution equations and local geometry of surfaces

    Article • Differential Geometry and its Applications, September 2001, Elsevier

    Enrique Reyes

  66. Conservation laws and Calapso–Guichard deformations of equations describing pseudo-spherical surfaces

    Article • Journal of Mathematical Physics, May 2000, American Institute of Physics

    Enrique Reyes

  67. Article • Acta Applicandae Mathematicae, January 2000, Springer Science + Business Media

    Enrique Reyes

  68. Pseudo-spherical Surfaces and Integrability of Evolution Equations

    Article • Journal of Differential Equations, July 1998, Elsevier

    Enrique Reyes