Alfred Michel Grundland

Domaines de Recherche

Liste de publications sélectionnées pour les 6 dernières années

(Articles publiés dans des revues avec comité de lecture)

  1. A. M. Grundland, J. De Lucas (2025) Quasi-rectifiable Lie algebras for partial differential equations, Journal of Nonlinearity, doi.org/10.1088/1361-6544/ada50e, Editor Evaluation: significant and very high arXiv:2312.05238v2
  2. A. M. Grundland (2024) On k-wave solutions of quasilinear systems of partial differential equations, Open Access, J. Nonlin. Math. Phys. OCNMP, id 12927#, édition spéciale dediée à la mémoire du professeur Decio Levi, arXiv:2305.04090v7
  3. A. M. Grundland, I. Marquette (2023) The Lie algebra of the lowest transitively differential group of degree three, J. Phys. A: Math. Theor. 56, 345205 (24pp), dedié à la mémoire du professeur Jiri Patera, doi.org/10.1088/1751-8121/acc866, arXiv:2304.06458v2
  4. A. M. Grundland, D. Latini, I. Marquette (2023) Recurrence relations and general solution of the exceptional Hermite equation, Annales Henri Poincaré, https://doi.org/10.1007/s00023-023-01395-x, arXiv:2211.00327
  5. A. M. Grundland, J. De Lucas (2023) Multiple Riemann wave solutions of the general form of quasilinear hyperbolic systems, Advances of Differential Equations, 28, 1-2, 73-112, dédié à la mémoire du professeur Pavel Winternitz, doi.org/10.57262/ade028-0102-73
  6. N. Crampé, A. M. Grundland (2021), The Veronese sequence of analytic solutions of the ℂP2s sigma model equation described via Krawtchouk polynomials, Proc. Conf. Quantum Theory and Symmetry, Springer, CRM series Math. Phys., Eds. M. Paranjape, pp. 55-63, https://doi.org/10.100/9/8-3-030-55///-5_5,
    Springer link: https://www.springer.com/gp/book/9783030557768
  7. V. Chalifour, A. M. Grundland (2020), General solution of the exceptional Hermite differential equation and its minimal surface representation, Annales Henri Poincaré 21, 3341-3384, https://doi.org/10.1007/s00023-020-00945-x, arXiv:2004.09250 (pp 1-38).
  8. A.M. Grundland, J. De Lucas (2019) On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications, J. Diff. Geom. and Appl. 67, 101557, pp 1-29, https://doi.org/10.1016/jdifgeo.2019.101557
  9. N. Crampé, A.M. Grundland (2019) ℂP2S sigma models described through hypergeometric orthogonal polynomials, Annales Henri Poincaré 20, 10, 3365-3387, https://doi.org/10.1007/s00023-019-00830-2

Nombre total de publications dans des revues avec comité de lecture: 199.

Nombre total d’étudiants promus sous ma direction