Kilkothur Munirathinam Tamizhmani

Articles in Scholarly Journals [Incomplete List]

  1. Do integrable cellular automata have the confinement property?
    Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 30, pp. F725–F735, 2007
  2. Alternate discrete Painlevé equations from limits of q-PVIq-PVI and d-PVd-PV
    Physica A: Statistical Mechanics and its Applications, vol. 369, no. 2, pp. 463–474, 2006
  3. Regular and Chaotic Dynamics, vol. 9, no. 1, p. 13, 2004
  4. Dynamics and bifurcations of a three-dimensional piecewise-linear integrable map
    Journal of Physics A: Mathematical and General, vol. 37, no. 50, pp. 12041–12058, 2004
  5. Modelling AIDS epidemic and treatment with difference equations
    Advances in Difference Equations, vol. 2004, no. 3, pp. 183–193, 2004
  6. The Extension of Integrable Mappings to Non-Commuting Variables
    Journal of Non-linear Mathematical Physics, vol. 10, no. Supplement 2, Article ID 610, 2003
  7. The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement
    Computers & Mathematics with Applications, vol. 45, no. 6-9, pp. 1001–1012, 2003
  8. Special functions as solutions to discrete Painlevé equations
    Journal of Computational and Applied Mathematics, vol. 160, no. 1-2, pp. 307–313, 2003
  9. Special solutions of discrete Painlevé equations through direct linearisation
    Physica A: Statistical Mechanics and its Applications, vol. 315, no. 3-4, pp. 569–582, 2002
  10. A Bilinear Approach to the Discrete Painlevé I Equations
    Journal of the Physical Society of Japan, vol. 71, no. 2, pp. 443–447, 2002
  11. Journal of Physics A: Mathematical and General, vol. 34, no. 18, pp. 3811–3821, 2001
  12. Special function solutions of the discrete painlevé equations
    Computers & Mathematics with Applications, vol. 42, no. 3-5, pp. 603–614, 2001
  13. On a class of special solutions of the Painlevé equations
    Physica A: Statistical Mechanics and its Applications, vol. 295, no. 3-4, pp. 359–370, 2001
  14. Deautonomisation of differential-difference equations and discrete Painlevé equations
    Chaos, Solitons & Fractals, vol. 11, no. 5, pp. 757–764, 2000
  15. Gauge equivalence and l-reductions of the differential–difference KP equation
    Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 137–143, 2000
  16. Singularity structure and algebraic properties of the differential-difference Kadomtsev–Petviashvili equation
    Chaos, Solitons & Fractals, vol. 11, no. 9, pp. 1423–1431, 2000
  17. Regular and Chaotic Dynamics, vol. 5, no. 3, p. 273, 2000
  18. Journal of Physics A: Mathematical and General, vol. 33, no. 3, pp. 579–590, 2000
  19. Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies
    Journal of the Physics Society Japan, vol. 69, no. 2, pp. 351–361, 2000
  20. Journal of Physics A: Mathematical and General, vol. 31, no. 37, pp. 7627–7633, 1999
  21. Journal of Physics A: Mathematical and General, vol. 32, no. 24, pp. 4553–4562, 1999
  22. Journal of Physics A: Mathematical and General, vol. 32, no. 38, pp. 6679–6685, 1999
  23. Inverse Problems, vol. 15, no. 3, pp. 787–791, 1999
  24. Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
    Physics Letters A, vol. 262, no. 2-3, pp. 152–157, 1999
  25. Again, linearizable mappings
    Physica A: Statistical and Theoretical Physics, vol. 252, no. 1-2, pp. 138–150, 1998
  26. Journal of Physics A: Mathematical and General, vol. 31, no. 27, pp. 5799–5810, 1998
  27. Journal of Physics A: Mathematical and General, vol. 30, no. 3, pp. 1017–1022, 1997
  28. Letters in Mathematical Physics, vol. 39, no. 2, pp. 179–186, 1997
  29. Lax pairs, symmetries and conservation laws of a differential-difference equation—Sato's approach
    Chaos, Solitons & Fractals, vol. 8, no. 6, pp. 917–931, 1997
  30. Cellular automata and ultra-discrete Painlevé equations
    Physics Letters A, vol. 226, no. 1-2, pp. 53–58, 1997
  31. A study of the discrete Pv equation: Miura transformations and particular solutions
    Letters in Mathematical Physics, vol. 38, no. 3, pp. 289–296, 1996
  32. From discrete to continuous Painlevé equations: A bilinear approach
    Physics Letters A, vol. 216, no. 6, pp. 255–261, 1996
  33. Direct Method of Finding First Integrals of Finite Dimensional Systems and Construction of Nondegenerate Poisson Structures
    Journal of Non-linear Mathematical Physics, vol. 1, no. 3, Article ID 1103, 1994
  34. Schlesinger transforms for the discrete painlev? IV equation
    Letters in Mathematical Physics, vol. 29, no. 1, pp. 49–54, 1993
  35. Integrability of Toda lattice by generalized variational symmetry approach
    Journal of Mathematical Physics, vol. 34, no. 5, p. 1876, 1993
  36. Lie symmetries of Hirota’s bilinear equations
    Journal of Mathematical Physics, vol. 32, no. 10, p. 2635, 1991
  37. Similarity reductions and painlevé property of the coupled higher dimensional Burgers' equation
    International Journal of Non-Linear Mechanics, vol. 26, no. 3-4, pp. 427–438, 1991
  38. Addendum to the Infinite-Dimensional Lie Algebraic Structure and the Symmetry Reduction of a Nonlinear Higher-Dimensional Equation
    Journal of the Physics Society Japan, vol. 59, no. 11, pp. 4198–4198, 1990
  39. The Infinite-Dimensional Lie Algebraic Structure and the Symmetry Reduction of a Nonlinear Higher-Dimensional Equation
    Journal of the Physics Society Japan, vol. 59, no. 3, pp. 843–847, 1990
  40. Geometrical equivalence of a deformed heisenberg spin equation and the generalized nonlinear schrödinger equation
    Physics Letters A, vol. 124, no. 3, pp. 159–160, 1987
  41. Linearization and Painleve´ property of Liouville and Cheng equations
    Journal of Mathematical Physics, vol. 27, no. 9, p. 2257, 1986
  42. Lie–Ba¨cklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
    Journal of Mathematical Physics, vol. 26, no. 6, p. 1189, 1985
  43. The existence of infinitely many Lie-Bäcklund symmetries for a new derivative nonlinear schrödinger equation
    Physics Letters A, vol. 99, no. 1, pp. 10–14, 1983
  44. Infinitely many lie-bäcklund symmetries for a quasi-linear evolution equation
    Physics Letters A, vol. 90, no. 4, pp. 159–161, 1982
  45. Motion of strings, embedding problem and soliton equations
    Applied Scientific Research, vol. 37, no. 1-2, pp. 127–143, 1981