ALFRED MICHEL GRUNDLAND

Département de mathématiques et d'informatique 
Université du Québec à Trois-Rivières
C.P. 500 
Trois-Rivières, Qc
G9A 5H7
et 

Centre de recherches mathématiques
Université de Montréal
C.P. 6128, succ. Centre-ville 
2920, chemin de la Tour
Montréal, Québec, H3C 3J7 
Canada 
E-Mail: grundlan@CRM.UMontreal.ca 
Fax: (514) 343-2254
 

Phones:
Office: (514) 343-6111 ext. 4741 (CRM) 
(514) 343-7501 (CRM-Secretary)

Present Position:
Professor, 
Département de mathématiques et d'informatique 
Université du Québec à Trois-Rivières (UQTR)

Associate Member
Centre de recherches mathématiques (CRM)
Université de Montréal


 

 
 

DOMAINES DE RECHERCHE

Physique mathématique et analyse des symétries des équations aux dérivées partielles

1. Analyse de groupe des équations aux dérivées partielles

2. Méthodes géométriques de résolution des EDPs

3. Surfaces plongées dans des algèbres de Lie et des espaces homogènes obtenus par les applications harmoniques

4. Systèmes intégrables et modèles supersymétriques

FIELD OF RESEARCH

Mathematical physics and symmetry analysis of partial differential equations

1. Group analysis of partial differential equations

2. Geometric methods for solving PDEs

3. Surfaces immersed in Lie algebras and homogeneous spaces obtained via harmonic maps

4. Integrable systems and supersymmetric models
 


Quelques publications récentes
Some recent publications

  1. S. Bertrand, A.M. Grundland (2016) Supersymmetric versions of the Fokas-Gel'fand formula for immersion, J. Phys. A: Math. Theor. 49, 305201
  2. A.M. Grundland, D. Levi, L. Martina (2016), On immersion formulas for soliton surfaces, Acta. Polytechnica (Czech Technical University), 56, 3, ISSN 1210-2709, 180-192.
  3. R. Conte, A.M. Grundland (2016) Reductions of Gauss-Codazzi equations, Studies in Appl. Math. (22pp), DOI: 10.1111/sapm.12121
  4. S. Bertrand, A.M. Grundland, A. J. Hariton (2015), On the integrability of supersymmetric versions of the structural equations for conformally parametrized surfaces, in Symmetry, Integrability and Geometry. Methods and Applications, SIGMA 11, 046 (16pp) [arXiv:1502.02948v3]
  5. A.M. Grundland, D. Riglioni (2015), Classical-quantum correspondence for shape-invariant systems, J. Phys. A: Math. Theor. 48, 245201 (15pp) doi:10.1088/1751-8113/48/24/245201
  6. S. Bertrand, A.M. Grundland, A. J. Hariton (2015), Supersymmetric versions of the equations of conformally parametrized surfaces, J. Phys. A: Math. Theor. 48, 175208 (37pp) doi:10.1088/1751-8113/48/17/175208
  7. A.M. Grundland, V. Lamothe (2014), Solutions of first-order quasilinear systems expressed in Riemann invariants, Acta Appl. Math., Springer Sc. doi:10.1007/s10440-014-9999-4 pp 1-29
  8. A.M. Grundland, V. Lamothe (2014), Multimode solutions of first-order quasilinear systems obtained from Riemann invariants, Acta Appl. Math., Springer Sc. doi:10.1007/s10440-014-9958-0 pp 1-32
  9. A.M. Grundland, S. Post, D. Riglioni (2014), Soliton surfaces and generalized symmetries of integrable systems, J. Phys. A: Math. Theor. 47, 015201 (14pp) doi:10.1088/1751-8113/47/1/015201
  10. A.M. Grundland, A. J. Hariton (2013), Supersymmetric version of the Euler system and its invariant solutions, Symmetry 5, 253-270 doi 10.3390/sym5030253
  11. P. P. Goldstein, A.M. Grundland, S. Post (2012), Soliton surfaces associated with sigma models; differential and algebraic aspects, J. Phys. A: Math. Theor. 45, 395208 (19pp) doi:10.1088/1751-8113/45/39/395208
  12. A.M. Grundland, S. Post (2012), Soliton surfaces via a zero-curvature representation of differential equations, J. Phys. A: Math. Theor. 45, 115204 (24pp); Corrigendum (2012), J. Phys. A: Math. Theor. 45, 419501 (1pp) doi:10.1088/1751-8113/45/11/115204
  13. S. Post, A.M. Grundland (2012), Analysis of $\mathbb{C}P^{N-1}$ sigma models via projective structure, Nonlinearity 25, 1-36 doi:10.1088/0951-7715/25/1/1
  14. A.M. Grundland, S. Post (2012), Surfaces immersed in Lie algebras associated with elliptic integrals, J. Phys. A: Math. Theor. 45, 015204 (20pp) doi:10.1088/1751-8113/45/1/015204
  15. A.M. Grundland, A.J. Hariton (2011), Supersymmetric formulation of polytropic gas dynamics and its invariant solutions, J. Math. Phys. 52, 4, 043501 (21pp).
  16. A.M. Grundland, S. Post (2011), Soliton surfaces associated with generalized symmetries of integrable equations, J. Phys. A: Math. Theor. 44, 165203 (31pp), selected for inclusion in {\bf IOP Select} doi:10.1088/1751-8113/44/16/165203
  17. A.M. Grundland, A.J. Hariton, L. Snobl (2011), Invariant solutions of supersymmetric nonlinear wave equations, J. Phys. A: Math. Theor. 44, 085204 (22pp), selected for inclusion in {\bf IOP Select} doi:10.1088/1751-8113/44/8/085204
  18. P.P. Goldstein, A.M. Grundland (2010), Invariant recurrence relations for $\mathbb{C}P^{N-1}$ models, J. Phys. A: Math. Theor. 43, 265206 (18pp) doi:10.1088/1751-8113/43/26/265206
  19. A. M. Grundland, B. Huard (2010), Conditional symmetries and Riemann invariants for inhomogeneous hydrodynamic-type systems, J. Phys. A : Math. Theor. 43, 455217 (16pp) doi:10.1088/1751-8113/43/45/455217

Liste complète des publications
Full Listing of Publications