Publications
- A.N.W. Hone and S.
Lafortune, Stability
of solutions for nonintegrable peakon equations, Physica
D 269, 28-36 (2014).
- S. Lafortune, Stability
of solitons on vortex filaments, Physics Letters A 377, 766-769 (2013).
- P. G. Kevrekidis, G.J. Herring, S. Lafortune and Q.E. Hoq, The higher-dimensional
Ablowitz-Ladik model: from (non-)integrability and solitary
waves to surprising collapse properties and more exotic
solutions, Physics Letters A 376, 982-986 (2012).
- A. Calini, S. Keith, and S. Lafortune, Squared eigenfunctions and
linear stability properties of closed vortex filaments,
Nonlinearity 24,
3555-3583 (2011).
- S. Lafortune, J. Lega, and S. Madrid, Instability of local
deformations of an elastic rod: numerical evaluation of the
Evans function,
SIAM Journal of Applied Mathematics 71, 1653-1672 (2011).
- N. Joshi, S. Lafortune, and A. Ramani, Hirota bilinear formalism and
ultra-discrete singularity analysis, Nonlinearity
22, 871–887 (2009).
- T. Ivey and S. Lafortune, Spectral stability analysis for
periodic traveling wave NLS solutions and CGL perturbations,
Physica D 237,
1750-1772 (2008).
- G. Gottwald, J. Hornibrook, S. Balasuriya, and S. Lafortune, High Lewis number
combustion wavefronts: a perturbative Melnikov analysis, SIAM Journal on Applied
Mathematics 67,
464-486 (2007).
- A. Kasman and S. Lafortune, When
is
negativity not a problem for the ultradiscrete limit?, J.
Math. Phys. 47 (2006).
- N. Joshi and S. Lafortune, Integrable ultra-discrete
equations and singularity analysis,
Nonlinearity 19,
1295-1312, (2006).
- N. Joshi and S. Lafortune, How
to detect integrability in Cellular Automata, J.
Phys. A 38, L499--L504
(2005).
- S. Lafortune, A. Goriely, and M. Tabor, The dynamics of stretchable rods
in the inertial case, Nonlinear Dynam. 43, 173--195 (2006).
- S. Lafortune and J. Lega, Spectral stability of local
deformations of an elastic rod: Hamiltonian formalism, SIAM
Journal of Mathematical Analysis 36, 1726–1741 (2005).
- M.A. Agrotis, S. Lafortune and P.G. Kevrekidis, On a Discrete Version of the
Korteweg-de Vries Equation, Discrete Contin. Dyn.
Syst., suppl., 22-29 (2005).
- S. Lafortune and A. Goriely, Singularity confinement and
algebraic integrability, Journal of Mathematical Physics 45, 1191-1208 (2004).
- S. Lafortune and J. Lega, Instability of local deformations
of an elastic rod, Physica D 182, 103-124 (2003).
- S. Lafortune, A. Ramani and B. Grammaticos, The last remake of the Gambier
mapping, Physica A 317, 383-390 (2003).
- A. Ramani, B. Grammaticos, S. Lafortune, The discrete Chazy III system of
Labrunie-Conte is not integrable, Journal of Physics A
35, 7943-7946 (2002).
- S. Lafortune, S. Tremblay and P. Winternitz, Symmetry classification of
diatomic molecular chains, Journal of
Mathematical Physics 42,
pp. 5341-5357 (2001).
- S. Lafortune, A.S. Carstea, A. Ramani, B. Grammaticos, Y.
Ohta, Integrable third-order mappings
and their growth properties, Regular and Chaotic
Dynamics 6, 443--448 (2001).
- A. Ramani, B. Grammaticos, S. Lafortune and Y. Ohta, Linearizable mappings and the
low-growth criterion, Journal of Physics A 33, L287-L292 (2000).
- L. Martina, S. Lafortune and P. Winternitz, Point symmetries of generalized
Toda field theories. II. Symmetry reduction, Journal of
Physics A 33, 6431-6446 (2000).
- S. Lafortune, P. Winternitz, L. Martina, Point symmetries of generalized
Toda field theories, Journal of Physics A
33, 2419-2435 (2000).
- S. Lafortune, B. Grammaticos, A. Ramani and Winternitz, Discrete systems related to some
equations of the Painlevé-Gambier classification,
Physics Letters A 270, 55-61 (2000).
- D. Gómez-Ullate, S. Lafortune, P. Winternitz, Symmetries of discrete dynamical
systems involving two species, Journal of
Mathematical Physics 40, 2782--2804 (1999).
- S. Lafortune, B. Grammaticos and A. Ramani, Discrete and Continuous
Linearizable Equations, Physica A 268, 129-141 (1999).
- A. Ramani, B. Grammaticos, K.M. Tamizhmani, and S. Lafortune,
Again, linearizable mappings,
Physica A 252, 138--150
(1998).
- A. Ramani, B. Grammaticos, and S. Lafortune, Schlesinger transformations for
linearizable equations, Letters in Mathematical
Physics 46, 131--145 (1998).
- S. Lafortune, B. Grammaticos, A. Ramani, Constructing integrable
third-order systems: the Gambier approach,
Inverse Problems 14, 287--298
(1998).
- S. Lafortune, P. Winternitz, and C. R. Menyuk, Solutions to the optical
cascading equations, Physical Review E 58,
2518-2525 (1998).
- B. Grammaticos, A. Ramani, K.M. Tamizhmani and S. Lafortune, The Gambier Mapping, Revisited,
Physica A 253, 260-270
(1998).
- S. Lafortune, Superposition formulas for
pseudo-orthogonal matrix Riccati equations,
Canadian Journal of Physics 75,
345-355 (1997).
- S. Lafortune and P. Winternitz, Superposition formulas for
pseudounitary matrix Riccati equations, Journal
of Mathematical Physics 37, 1539--1550
(1996).
- R. Marchand, S. Lafortune and X. Bonnin, Average Ion approximation for
modelling impurity transport in tokamaks,
Computer Physics Communications 76, 203-214 (1993).