Publications

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  • W Sarlet, T Mestdag, G. Prince. A generalization of szebehely's inverse problem of dynamics in dimension three. Reports on Mathematical Physics, 79, 367-389, 2017. doi: 10.1016/S0034-4877(17)30049-6.

  • O Rossi, DJ Saunders, G. Prince. Shape maps for second order partial differential equations. Journal des Mathematiques Pures et Appliquees, 107, 615-637, 2017. doi: 10.1016/j.matpur.2016.07.010.

  • Do Thoan, G. Prince, T Do. An intrinsic and exterior form of the Bianchi identities. International Journal of Geometric Methods in Modern Physics, 14, 1750001 (22pp), 2017. doi: 10.1142/S0219887817500013.

  • Do Thoan, G. Prince, T Do. New progress in the inverse problem in the calculus of variations. Differential Geometry and its Applications, 45, 148-179, 2016. doi: 10.1016/j.difgeo.2016.01.005.

  • DJ Saunders, O Rossi, G. Prince. Tangent bundle geometry induced by second order partial differential equations. Journal des Mathematiques Pures et Appliquees, 106, 296-318, 2016. doi: 10.1016/j.matpur.2016.02.011.

  • G. Prince. Torsion and the second fundamental form for distributions. Communications in Mathematics, 24, 23-28, 2016. doi: 10.1515/cm-2016-0003.

  • G. Prince, Naghmana Tehseen. Evolution equations: Frobenius integrability, conservation laws and travelling waves. Journal of Physics A: Mathematical and Theoretical, 48, 405205 (13pp), 2015. doi: 10.1088/1751-8113/48/40/405205.

  • Naghmana Tehseen, G. Prince. Integration of PDEs by differential geometric means. Journal of Physics A: Mathematical and Theoretical, 46, 105201 (20pp), 2013. doi: 10.1088/1751-8113/46/10/105201.

  • W Sarlet, T Mestdag, G. Prince. A generalization of Szebehely's inverse problem of dynamics. Reports on Mathematical Physics, 72, 65-84, 2013. doi: 10.1016/S0034-4877(14)60005-7.

  • W Sarlet, G. Prince, T Mestdag, O Krupkova, O Krupková. Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type. Journal of Physics A: Mathematical and Theoretical, 45, 085208 (13pp), 2012. doi: 10.1088/1751-8113/45/8/085208.

  • W Sarlet, G. Prince, M Crampin. Generalized submersiveness of second-order ordinary differential equations. The Journal of Geometric Mechanics, 1, 209-221, 2009. doi: 10.3934/jgm.2009.1.209.

  • G. Prince, SP Dubois. Mathematical models for motion of the rear ends of vehicles. Mathematical and Computer Modelling, 49, 2049-2060, 2009. doi: 10.1016/j.mcm.2008.10.005.

  • G. Prince. Period function and normalizers of vector fields in R-n with n - 1 first integrals (vol 244, pg 1287, 2008). Journal of Differential Equations, 246, 3750-3753, 2009. doi: 10.1016/j.jde.2009.02.009.

  • O Krupkova, G. Prince, O Krupková. Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations. 837-+, ELSEVIER SCIENCE BV, 2008. doi: 10.1016/B978-044452833-9.50017-6.

  • Demeter Krupka, Olga Krupkova, G. Prince, Willy Sarlet, O Krupková. Contact symmetries of the Helmholtz form. Differential Geometry and its Applications, 25, 518-542, 2007. doi: 10.1016/j.difgeo.2007.06.003.

  • JE Aldridge, G. Prince, W Sarlet, G Thompson. An EDS approach to the inverse problem in the calculus of variations. Journal of Mathematical Physics, 47, 103508 (22pp), 2006. doi: 10.1063/1.2358000.

  • M Jerie, G. Prince. Jacobi fields and linear connections for arbitrary second-order ODEs. Journal of Geometry and Physics, 43, 351-370, 2002. doi: 10.1016/S0393-0440(02)00030-X.

  • W Sarlet, G Thompson, G. Prince. The inverse problem of the calculus of variations: The use of geometrical calculus in douglas's analysis. Transactions of the American Mathematical Society, 354, 2897-2919, 2002. doi: 10.1090/S0002-9947-02-02994-X.

  • MA Barco, G. Prince. New symmetry solution techniques for first-order non-linear PDEs. Applied Mathematics and Computation, 124, 169-196, 2001. doi: 10.1016/S0096-3003(00)00085-0.

  • MA Barco, G. Prince. Solvable symmetry structures in differential form applications. Acta Applicandae Mathematicae, 66, 89-121, 2001. doi: 10.1023/A:1010609817442.

  • M Jerie, G. Prince. Spacetime symmetries for the Kerr metric. Classical and Quantum Gravity, 16, 2885-2887, 1999. doi: 10.1088/0264-9381/16/9/306.

  • G. Prince, GB BYRNES, J SHERRING, SE GODFREY. A generalization of the Liouville–Arnol'd theorem. Mathematical Proceedings of the Cambridge Philosophical Society, 117, 353-370, 1995. doi: 10.1017/S0305004100073187.

  • J SHERRING, G. Prince. GEOMETRIC ASPECTS OF REDUCTION OF ORDER. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 334, 433-453, 1992. doi: 10.2307/2153990.

  • J Sherring, G. Prince. Geometric aspects of reduction of order. Transactions of the American Mathematical Society, 334, 433-453, 1992. doi: 10.1090/S0002-9947-1992-1149125-6.

  • G. Prince. A complete classification of dynamical symmetries in classical mechanics. Bulletin of the Australian Mathematical Society, 32, 299-308, 1985. doi: 10.1017/S0004972700009977.

  • G. Prince, CJ ELIEZER. On the Lie symmetries of the classical Kepler problem. Journal of Physics A: Mathematical and General, 14, 587-596, 1981. doi: 10.1088/0305-4470/14/3/009.

  • G. Prince, PGL LEACH. THE LIE THEORY OF EXTENDED GROUPS IN HAMILTONIAN-MECHANICS. HADRONIC JOURNAL, 3, 941-961, 1980.

  • G. Prince, CJ ELIEZER. Symmetries of the time-dependent N-dimensional oscillator. Journal of Physics A: Mathematical and General, 13, 815-823, 1980. doi: 10.1088/0305-4470/13/3/015.

  • G. Prince, PGL LEACH, TM KALOTAS, CJ ELIEZER, RM SANTILLI. LIE AND LIE-ADMISSIBLE SYMMETRIES OF DYNAMICAL-SYSTEMS. HADRONIC JOURNAL, 3, 390-439, 1979.