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
- A.M. Grundland, I. Yurdusen (2009), On analytic descriptions of two-dimensional surfaces associated with the $\mathbb{C}P^{N-1}$ sigma model, Fast-track communication, J. Phys. A: Math. Theor. 42, 172001 (5pp).
- A.M. Grundland, A.J. Hariton, L. Snobl (2009), Invariant solutions of the supersymmetric sine-Gordon equation, J. Phys. A: Math. Theor. 42, 335203 (23pp).
- A.M. Grundland, A.J. Hariton (2009), $N=2$ supersymmetric extension of a hydrodynamic system, J. Math. Phys. 50, 073508 (21pp).
- R. Conte, A.M. Grundland, B. Huard (2009), Elliptic solutions of isentropic ideal compressible fluid flow in $(3+1)$ dimensions, J. of Physics A : Math Theor. 42, 135203 (14pp).
- A.M. Grundland, I. Yurdusen (2008), Surfaces obtained from $CP^{N-1}$ sigma models, Int. J. of Modern Physics A : accepted.
- A.M. Grundland, A.J. Hariton (2008), Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions, J. Math. Phys. 49, 4, 043502 (21pp).
- A.M. Grundland, W. Hereman, I. Yurdusen (2008), Conformally parametrized surfaces associated with $CP^{N-1}$ sigma models, J. of Physics A : Math Theor. 41, 065204 (28p).
- A.M. Grundland, A.J. Hariton (2007), Supersymmetric version of a Gaussian irrotational compressible fluid flow, J. Phys. A : Math Theor. 40, 15113-15129.
- A. M. Grundland, B. Huard (2007), Conditional symmetries and Riemann invariants for hyperbolic systems of PDEs, J. Phys. A : Math. Theor. 40 (2007), 4093-4123.
- A.M. Grundland and L. Snobl (2006) Surfaces Associated with Sigma Models. Studies in Appl. Math., 358, 335-351.
- A. M. Grundland, A. Strasburger and W.J. Zakrzewski (2006) Surfaces Immersed in su{(N+1)} Lie Algebras Obtained from the CP^N Sigma Models, J. Phys A : Math. Gen. 39, 9187-9213.
- R. Conte, A.M. Grundland and M. Musette (2006) A Reduction of the Resonant Three-Wave Interaction to the Generic Sixth Painlevé© Equation, J. Phys. A : Math. Gen. 39, 12115-12127.
- A. M. Grundland, L. Snobl (2006) Description of Surfaces Associated with CP^{N-1} Sigma Models on Minkowski Space. J. Geom. Phys., 56, 512-531.
- A. M. Grundland, L. Snobl (2005) Description of Surfaces Associated with Grassmannian Sigma Models on Minkowski Space. J. Math. Phys., 46,8, 3508-3520.
- A. M. Grundland and A. Hariton (2004) Partially Invariant Solutions of Models Obtained from the Nambu-Goto Action. J. Math. Phys. 45,8, 3239-3265.
- A. M. Grundland and W. J. Zakrzewski, (2003) CP^{N-1} Harmonic Maps and the Weierstrass Problem, J Math. Phys. 44, 8, 3370-3382.
- A. M. Grundland, P. Tempesta and P. Winternitz, (2003) Weak Transversality and Partially Invariant Solutions, J Math. Phys. 44, 6, 2704-2722.
- A. M. Grundland, A. J. Hariton and V. Hussin, (2003) Group Invariant Solutions of Relativistic and Non-relativistic Models, J. Math Phys. 44, 7, 2874-2890.
- A. M. Grundland, D. Levi and L. Martina, (2003) On a Discrete Version of the CP^1 Sigma Model and Surfaces Immersed in R^3, J. Phys A, Math. Gen. 36, 4599-4616.
- D. Levi and A. M. Grundland, (2002) Discrete Third Order Spectral Problems and a New Toda type Equation, J. Phys. A: Math. Gen. 35, L67-L73.
Liste complète des publications
Full Listing of Publications
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