Publications

Books
  1. A. Ghazaryan, S. Lafortune, and V. Manukian, An introduction to traveling waves: fronts, pulses, and wavetrains, CRC Press (2022).
  2. A. Ghazaryan, S. Lafortune, and V. Manukian eds., Theme issue: Stability of nonlinear waves and patterns and related topics, Phil. Trans. R. Soc. A 376, 2117 (2018).
  3. A. Doliwa, R. Korhonen and S. Lafortune, eds., Symmetries and Integrability of Difference Equations: Special issue dedicated to the subject of the  SIDE VII meeting, 10-14 July 2006, J. Phys. A 40 (2007).


Articles in Refereed Journals

  1. S. Lafortune, Spectral and linear stability of peakons in the Novikov equation, Accepted for publication in Stud. Appl. Math. (2024).
  2. E. G. Charalampidis, R. Parker, P. G. Kevrekidis, and S. Lafortune, The stability of the b-family of peakon equations, Nonlinearity 36, 1192-1217 (2023).
  3. S. Lafortune and D.E. Pelinovsky,Stability of smooth solitary waves in the b-Camassa-Holm equation, Physica D 440, 133477, (2022).
  4. S. Lafortune and D.E. Pelinovsky, Spectral instability of peakons in the b-family of the Camassa-Holm equations, SIAM J.Appl.Anal. 54, 4572-4590 (2022).
  5. A. Ghazaryan, S. Lafortune, and C. Linhart, Flame propagation in a porous medium, Physica D 413, 132653 (2020).
  6. A. Ghazaryan, S. Lafortune, and V. Manukian, Spectral analysis of fronts in a Marangoni-driven thin liquid film flow down a slope, SIAM Journal on Applied Mathematics 80, 95-118 (2020).
  7. A. Ghazaryan, S. Lafortune, and V. Manukian, In: Stability of nonlinear waves and patterns and related topics (Introduction to the issue), Phil. Trans. R. Soc. A 376, Issue 2117, A. Ghazaryan, S. Lafortune, and V. Manukian eds., 20180001 (2018).
  8. T. Ivey, and S. Lafortune, Stability of closed solutions to the VFE hierarchy with application to the Hirota equation, Nonlinearity 31, 458-490 (2018).
  9. C.-X. Li and S. Lafortune, Matrix integral solutions to the discrete KP hierarchy and its Pfaffianized version, J. Phys. A 49, 475202 (2016).
  10. A. Ghazaryan, S. Lafortune, and P. McLarnan, Stability of fronts in a model for combustion in hydraulically resistant porous media, Physica D 332, 23-33 (2016).
  11. C.-X. Li, S. Lafortune, and S.-F. Shen, A semi-discrete Kadomtsev-Petviashvili equation and its coupled integrable system, J. Math. Phys. 57, 053503 (2016).
  12. A. Ghazaryan, S. Lafortune, and V. Manukian, Stability of front solutions in a model for a surfactant driven flow on an inclined plane, Physica D 307, 1-13 (2015).
  13. A. Ghazaryan, S. Lafortune, and P. McLarnan, Stability analysis for combustion fronts traveling in hydraulically resistant porous media, SIAM J. Appl. Math. 75, 1225-1244 (2015).
  14. A.N.W. Hone and S. Lafortune, Stability of solutions for nonintegrable peakon equations, Physica D 269, 28-36 (2014).
  15. S. Lafortune, Stability of solitons on vortex filaments, Physics Letters A 377, 766-769 (2013).
  16. 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).
  17. A. Calini, S. Keith, and S. Lafortune, Squared eigenfunctions and linear stability properties of closed vortex filaments, Nonlinearity 24, 3555-3583 (2011).
  18. 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).
  19. N. Joshi, S. Lafortune, and A. Ramani, Hirota bilinear formalism and ultra-discrete singularity analysis, Nonlinearity 22, 871-887 (2009).
  20. T. Ivey and S. Lafortune, Spectral stability analysis for periodic traveling wave NLS solutions and CGL perturbations, Physica D 237, 1750-1772 (2008).
  21. 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).
  22. A. Kasman and S. Lafortune, When is negativity not a problem for the ultradiscrete limit?, J. Math. Phys. 47 (2006).
  23. N. Joshi and S. Lafortune, Integrable ultra-discrete equations and singularity analysis,  Nonlinearity 19, 1295-1312, (2006).
  24. N. Joshi and S. Lafortune, How to detect integrability in Cellular Automata,  J. Phys. A 38, L499-L504 (2005).
  25. S. Lafortune, A. Goriely, and M. Tabor, The dynamics of stretchable rods in the inertial case, Nonlinear Dynam. 43,  173--195 (2006).
  26. 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).
  27. 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).
  28. S. Lafortune and A. Goriely, Singularity confinement and algebraic integrability, Journal of Mathematical Physics 45, 1191-1208 (2004).
  29. S. Lafortune and J. Lega, Instability of local deformations of an elastic rod, Physica D 182, 103-124 (2003).
  30. S. Lafortune, A. Ramani and B. Grammaticos, The last remake of the Gambier mapping, Physica A 317, 383-390 (2003).
  31. 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).
  32. S. Lafortune, S. Tremblay and P. Winternitz, Symmetry classification of diatomic molecular chains, Journal of Mathematical Physics 42,  pp. 5341-5357 (2001).
  33. 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).
  34. A. Ramani, B. Grammaticos, S. Lafortune and Y. Ohta, Linearizable mappings and the low-growth criterion, Journal of Physics A 33, L287-L292 (2000).
  35.  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).
  36. S. Lafortune, P. Winternitz, L. Martina, Point symmetries of generalized Toda field theories, Journal of Physics A 33, 2419-2435 (2000).
  37. S. Lafortune, B. Grammaticos, A. Ramani and Winternitz, Discrete systems related to some equations of the Painleve-Gambier classification, Physics Letters A 270, 55-61 (2000).
  38.  D. Gomez-Ullate, S. Lafortune, P. Winternitz, Symmetries of discrete dynamical systems involving two species, Journal of Mathematical Physics 40, 2782--2804 (1999).
  39. S. Lafortune, B. Grammaticos and A. Ramani, Discrete and Continuous Linearizable Equations, Physica A 268, 129-141 (1999).
  40. A. Ramani, B. Grammaticos, K.M. Tamizhmani, and S. Lafortune, Again, linearizable mappings, Physica A 252, 138--150 (1998).
  41. A. Ramani, B. Grammaticos, and S. Lafortune, Schlesinger transformations for linearizable equations, Letters in Mathematical Physics 46, 131--145 (1998).
  42. S. Lafortune, B. Grammaticos, A. Ramani, Constructing integrable third-order systems: the Gambier approach, Inverse Problems 14, 287--298 (1998).
  43. S. Lafortune, P. Winternitz, and C. R. Menyuk, Solutions to the optical cascading equations, Physical Review E 58, 2518-2525 (1998).
  44. B. Grammaticos, A. Ramani, K.M. Tamizhmani and S. Lafortune, The Gambier Mapping, Revisited, Physica A 253, 260-270 (1998).
  45. S. Lafortune, Superposition formulas for pseudo-orthogonal matrix Riccati equations, Canadian Journal of Physics 75, 345-355 (1997).
  46. S. Lafortune and P. Winternitz, Superposition formulas for pseudounitary matrix Riccati equations, Journal of Mathematical Physics 37, 1539--1550 (1996).
  47. R. Marchand, S. Lafortune and X. Bonnin, Average Ion approximation for modelling impurity transport in tokamaks, Computer Physics Communications 76, 203-214 (1993).