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Published Conference Contributions

  1. P.Winternitz. Symmetries of linear and nonlinear difference systems. In G. S. Pogosyan, L. G. Vincent, and K. B. Wolf, editors, Proceedings of the 25th ICGTMP, Cocoyoc, Mexico, 2005 IOP, Bristol, U.K., to appear

  2. J. Bérubé and P.Winternitz.Integrability and superintegrability without separability . In P. Tempesta, P. Winternitz, J. Harnad, W. Miller, Jr., and M. Rodriguez, editors, Superintegrability in Classical and Quantum Systems, CRM Proceedings and Lecture Notes 37. AMS, Providence, R.I., 2004.

  3. P.Winternitz. Subalgebras of Lie algebras. Example of sl(3,R). In P. Winternitz, J. Harnad, C. S. Lam and J. Patera, editors, Symmetry in Physics. In memory of Robert T. Sharp, CRM Proceedings and Lecture Notes 34. AMS, Providence, R.I., 2004.

  4. A.A.Izmestev, G.S. Pogosyan, A.N.Sissakian, and P.Winternitz. Contraction and interbases expansion on n-sphere. In Proceedings of International Symposium on Quantum Theory and Symmetries, Cracow, Poland, 2001. World Scientific. To be published.

  5. J.Daboul and P.Winternitz. A superintegrable time-dependent system with Kac-Moody symmetry. In Proceedings of the 23. International Colloquium on Group Theoretical Metods in Physics, Dubna, Russia, 2000. Phys.Atom.Nuclei, 65, (6), 1034-1041, 2002.

  6. M.B. Sheftel, P.Tempesta, and P.Winternitz. Lie symmetries and superintegrability in quantum mechanics. In Proceedings of the 23. International Conference on Group Theoretical Methods in Physics, Dubna, Russia, 2000. Phys.Atom.Nuclei, 65, (6), 1144-1148, 2002.

  7. G.S. Pogosyan, A.N. Sissakian, P.Winternitz, and K.B. Wolf. Graf's addition theorem obtained from SO(3) contraction. In Proceedings of Conference on Integrable Systems, Protvino, Russia, 2001. Theor.Math.Phys. 129, (2), 227-229, 2001.

  8. M.Havlicek, S.Posta, and P.Winternitz. Superposition formulas based on nonprimitive group actions. In A.Coley, D.Levi, R.Milson, C.Rogers, and P.Winternitz, editors, Backlund and Darboux transformations. The Geometry of Solitons, volume29 of CRM Proceedings and Lecture Notes, pages 225-231, Halifax, N.S.,, 1999. AMS, Providence,R.I., 2001.

  9. R.Hernandez-Heredero, D.Levi, M.A.. Rodriguez, and P.Winternitz. Symmetries of differential difference equations and Lie algebra contractions. In A.Coley, D.Levi, R.Milson, C.Rogers, and P.Winternitz, editors, Backlund and Darboux transformations. The Geometry of Solitons, volume29 of CRM Proceedings and Lecture Notes, pages 233-243, Halifax, N.S.,, 1999. AMS, Providence,R.I., 2001.
  11. Z.Thomova and P.Winternitz. Separation of variables and Darboux transformations. In A.Coley, D.Levi, R.Milson, C.Rogers, and P.Winternitz, editors, Backlund and Darboux transformations. The Geometry of Solitons, volume29 of CRM Proceedings and Lecture Notes, pages 419-427, Halifax, N.S., 1999. AMS, Providence,R.I.,2001.
  13. P.Winternitz. Backlund transformations as nonlinear ordinary differential ,or difference equations with superposition formulas. In A.A.Coley, D.Levi, R.Milson, C.Rogers, and P.Winternitz, editors, Backlund and Darboux transformations: the Geometry of Solitons, volume29 of CRM Proceedings and Lecture Notes, pages 429-436, Halifax ,N.S., 1999. AMS, Providence,R.I.,2001.
  15. V.Dorodnitsyn, R.Kozlov, and P.Winternitz. Symmetry classification of second order difference equations. In M.Boiti and F.Pempinelli, editors, Nonlinearity, integrability and all that, pages 250-257, Gallipoli, Italy, 1999. World Scientific, Singapore, 2000.

  16. P.Winternitz. Lie groups and difference equations. In Proceedings of the 22nd International Colloquium on Group Theoretical Methods in Physics, pages 113-124, Hobart, Australia, 1998. International Press,Boston,1999.

  17. P.Winternitz. Laudatio on the occasion of the award of the Wigner medal to M. Moshinsky. In Proceedings of the 22nd International Colloquium on Group Theoretical Methods in Physics, pages xvi-xxi, Hobart, Australia, 1998. International Press, Boston, 1999.

  18. D.Gomez-Ullate, S.Lafortune, and Winternitz P. Symmetry classification of systems of differential- difference equations. In D.Levi and O.Ragnisco, editors, SIDE 3 Proceeding, Symmetry and Integrability of difference equations, CRM Proceedings and Lecture Notes, pages 167-172, Sabaudia, Italy, 1998. AMS, Providence, R.I., 2000.

  19. R.HernandezHeredero, D.Levi, and Winternitz P. Symmetry preserving discretization of the Burgers equation. In D.Levi and O.Ragnisco, editors, SIDE 3 Proceedings, Symmetry and Integrability of Difference equations, CRM Proceedings and Lecture Notes, pages 197-208, Sabaudia, Italy, 1998. AMS, Providence, R.I. ,2000.

  20. Y.Nutku, M.B. Sheftel, A.A. Malykh, and P.Winternitz. Invariant solutions to complex Monge-Ampere equation and gravitational instantons. In Proceedings of 8th International Conference on Symmetry Methods in Physics, Dubna, Russia, 1997. Phys.Atom.Nucl.,61,1874-1877,1998.

  21. P.Winternitz. Lie group contractions and separation of variables. In Proceedings of the 8th International Conference on Symmetry Methods in Physics, Dubna, Russia, 1997. Phys.Atom.Nucl. 61, 1705-1712, 1998.

  22. P.Winternitz. Families of ordinary differential equations with the Painlevé property. In Workshop on Nonlinear Special Functions: The Painlevé Transcendents, CRM Series in Theoretical Physics. Springer-Verlag, 1996. to appear.

  23. P.Winternitz. Symmetry analysis of difference equations. In Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, Proceedings of 21. International Colloquium on Group Theoretical Methods in Physics, pages 1005-1010, Goslar, Germany, 1996. World Scientific, Singapore, 1997. %[CRM-2445, 1996],.

  24. P.Winternitz. Nonlinear difference equations with superposition formulas. In 2. International Conference on Symmetries and Integrability of Difference Equations, pages 275-283, Canterbury, UK, 1996. Cambridge University Press, 1999. %[CRM-2461, 1997],.

  25. A.A. Izmest'ev, G.S. Pogosyan, A.N Sissakian, and P.Winternitz. Contractions of Lie algebras and separation of variables. Two-dimensional hyperboloid. In Proceedings of 2. International Workshop on Classical and Quantum Integrable Systems, Dubna, Russia, 1996. Intl. J. Mod. Phys., A12, 1, 53-61, 1997.

  26. P.Winternitz. Successive refinements of gradings and graded contractions of sl(3,c). In Proceedings of 2. International Workshop on Classical and Quantum Integrable Systems, Dubna, Russia, 1996. Intl. J. Mod. Phys., A12, 1, 109-115, 1997.

  27. P.Winternitz. Symmetry analysis for discrete equations. In Proceedings of the Meeting of the Canada-Mexico-USA Physical Societies, Laval University, Quebec, 1995. to appear.

  28. D.Levi, L.Vinet, and P.Winternitz. Symmetries of discrete physical systems. In Proceedings of 4th Wigner Symposium, pages 383-391, Guadalajara, Mexico, 1995. World Scientific, Singapore, 1996.

  29. D.Levi and P.Winternitz. Symmetry analysis of discrete dynamical systems. In Nonlinear Physics, Theory and Experiment, pages 199-216, Gallipoli,Italy, 1995. World Scientific, Singapore, 1996.

  30. P.Winternitz and D.Levi. Continuous symmetries of differential - difference equations. In J.Bertrand, M.Flato, J.P. Gazeau, M.Irac-Astaud, and D.Sternheimer, editors, Proceedings of Colloquium Dedicated to G. Rideau, volume18 of Mathematical Physics Studies, pages 271-281, Paris, France, 1995. Kluwer, Dordrecht, 1995.

  31. D.Levi and P.Winternitz. Lie point symmetries of differential -difference equations. In Symmetries and Integrability of Difference Equations, pages 199-208, Esterel, Quebec, 1994. AMS, Providence,R.I., 1996.

  32. P.Winternitz and G.Rideau. Spherical functions for quantum algebra su(2)q. In International Workshop on Symmetry Methods in Physics, volume2, pages 584-591, Dubna, Russia, 1993. JINR Publishing Department,Dubna,1994.

  33. P.Winternitz, M.A. del Olmo, and M.A. Rodriguez. Maximal Abelian subgroups of su(p,q) and integrable Hamiltonian systems. In Proc. NATO ARW on Noncompact Groups and their Physical Applications, pages 181-198, San Antonio, Texas, 1993. Kluwer, Dordrecht,1994.

  34. D.Levi, L.Vinet, and P.Winternitz. Symmetries of a classical Chern-Simons theory. In Proc. CAP-NSERC Workshop on Quantum Groups, Statistical Systems and Integrable Models, pages 148-158, Kingston, 1992. World Scientific, Singapore, 1993.

  35. D.Levi and P.Winternitz. Symmetries of differential equations on a lattice. An example: The toda lattice. In Proc. of Conf. on Modern Group Analysis. Advanced Analitycal and Computational Methods in Mathematics in Physics, pages 265-272, Catania, Italy, 1992. Kluwer, Dordrecht, 1993.

  36. D.Levi and P.Winternitz. Symmetries and conditional symmetries of differential difference equations. In Proc. NATO ARW, Applic. of Analytic and Geometric Methods to Nonlin. Diff. Equations, pages 405-419, Exeter, 1992. Kluwer, Dordrecht,1993.

  37. M.A. del Olmo, M.A. Rodriguez, and P.Winternitz. Completely integrable Hamiltonian systems on O(p,q) hyperboloids. In Proc. 19th Intern. Coll. Group Theor. Math. Phys., pages 426-429, Salamanca, 1992. Anales de Fisica Monografias, 1992.

  38. E.G. Kalnins and P.Winternitz. Maximal Abelian subalgebras of complex Euclidian Lie algebras. In Proc. of 19th Internat. Coll. Group Theor. Math. Physics, pages 479-482, Salamanca, 1992. Anales de Fisica Monografias, 1992.

  39. P.Winternitz. Lie point symmetries and exact solutions of nonlinear differential equations. In Proc. 2nd Internat. Wigner Symposium, pages 158-166, Gosslar, 1991. World Scientific, Singapore, 1993.

  40. P.Winternitz. Exact solutions of classical field equations with polynomial nonlinearities and their stability. In Proc. of 7th workshop on Nonlinear Evolution Equations and Dynamical Systems, pages 444-452, Gallipoli, 1991. World Scientific, Singapore, 1992.

  41. P.Winternitz. Symmetries and nonlinear phenomena. In K.B.Wolf A.Frank, T.H.Seligman, editor, Group Theory in Physics, Proc. Symp. on Symmetries in Physics in honor of M. Moshinsky, pages 87-96, Cocoyoc, Mexico, 1991. AIP, New York, 1992.

  42. P.Winternitz. Physical applications of Painlevé type equations quadratic in the highest derivative. In Proc. Workshop on Painlevé Transcendents, their Asymptotics and Physical Applications, pages 272-276, Sainte Adele,Quebec, 1990. Plenum, New York, 1992.

  43. P.Winternitz. Similarity solutions of equations of nonlinear optics. In Proc. Meeting on Solitons and Chaos, pages 99-107, Brussels, 1990. Springer, Berlin, 1991.

  44. M.A. del Olmo, M.A. Rodriguez, and P.Winternitz. Hamilton-Jacobi equations in SU(2,2) homogeneous spaces. In Proc. 18th Internat. Coll. Group Theor. Meth. in Phys., volume 382 of Lecture Notes in Physics, pages 281-284, Moscow, 1990. Springer, Berlin, 1991.

  45. J.F. Cariñena, M.A. del Olmo, and P.Winternitz. Cohomology and symmetry of differential equations. In Proc. 18th Internat. Coll. Group Theor. Meth. in Phys., volume 382 of Lecture Notes in Physics, pages 272-276, Moscow, 1990. Springer, Berlin, 1991.

  46. P.Winternitz. Conditional symmetries and conditional integrability for nonlinear systems. In Proc. 18th Internat. Coll. Group Theor. Meth. in Phys., volume 382 of Lecture Notes in Physics, pages 263-271, Moscow, 1990. Springer, Berlin, 1991.

  47. A.M. Grundland, J.A. Tuszynski, and P.Winternitz. Analysis of the static spherically symmetric solutions of the phi-to-the-sixth field equations, obtained by symmetry reduction. In J.A.Tuszynski W.Rozmus, editor, Nonlinear and Chaotic Phenomena, Proc. CAP-NSERC Summer Institute on Theor. Phys., pages 80-89, Edmonton, Alberta, 1990. World Scientific, Singapore, 1991.

  48. P.Winternitz. Exact analytic solutions for partially integrable nonlinear physical systems. In J.A.Tuszynski W.Rozmus, editor, Proceedings of CAP-NSERC Summer Institute on Theor. Phys., Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids, pages 55-71, Edmonton, Alberta, 1990. World Scientific, Singapore, 1991.


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