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Kilkothur Munirathinam Tamizhmani
Articles in Scholarly Journals [Incomplete List]
Do integrable cellular automata have the confinement property?
Journal of Physics A: Mathematical and Theoretical, vol. 40, no. 30, pp. F725–F735, 2007
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
Regular and Chaotic Dynamics, vol. 9, no. 1, p. 13, 2004
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
Modelling AIDS epidemic and treatment with difference equations
Advances in Difference Equations, vol. 2004, no. 3, pp. 183–193, 2004
The Extension of Integrable Mappings to Non-Commuting Variables
Journal of Non-linear Mathematical Physics, vol. 10, no. Supplement 2, Article ID 610, 2003
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
Special functions as solutions to discrete Painlevé equations
Journal of Computational and Applied Mathematics, vol. 160, no. 1-2, pp. 307–313, 2003
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
A Bilinear Approach to the Discrete Painlevé I Equations
Journal of the Physical Society of Japan, vol. 71, no. 2, pp. 443–447, 2002
Journal of Physics A: Mathematical and General, vol. 34, no. 18, pp. 3811–3821, 2001
Special function solutions of the discrete painlevé equations
Computers & Mathematics with Applications, vol. 42, no. 3-5, pp. 603–614, 2001
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
Deautonomisation of differential-difference equations and discrete Painlevé equations
Chaos, Solitons & Fractals, vol. 11, no. 5, pp. 757–764, 2000
Gauge equivalence and l-reductions of the differential–difference KP equation
Chaos, Solitons & Fractals, vol. 11, no. 1-3, pp. 137–143, 2000
Singularity structure and algebraic properties of the differential-difference Kadomtsev–Petviashvili equation
Chaos, Solitons & Fractals, vol. 11, no. 9, pp. 1423–1431, 2000
Regular and Chaotic Dynamics, vol. 5, no. 3, p. 273, 2000
Journal of Physics A: Mathematical and General, vol. 33, no. 3, pp. 579–590, 2000
Master Symmetries from Lax Operators for Certain Lattice Soliton Hierarchies
Journal of the Physics Society Japan, vol. 69, no. 2, pp. 351–361, 2000
Journal of Physics A: Mathematical and General, vol. 31, no. 37, pp. 7627–7633, 1999
Journal of Physics A: Mathematical and General, vol. 32, no. 24, pp. 4553–4562, 1999
Journal of Physics A: Mathematical and General, vol. 32, no. 38, pp. 6679–6685, 1999
Inverse Problems, vol. 15, no. 3, pp. 787–791, 1999
Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations
Physics Letters A, vol. 262, no. 2-3, pp. 152–157, 1999
Again, linearizable mappings
Physica A: Statistical and Theoretical Physics, vol. 252, no. 1-2, pp. 138–150, 1998
Journal of Physics A: Mathematical and General, vol. 31, no. 27, pp. 5799–5810, 1998
Journal of Physics A: Mathematical and General, vol. 30, no. 3, pp. 1017–1022, 1997
Letters in Mathematical Physics, vol. 39, no. 2, pp. 179–186, 1997
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
Cellular automata and ultra-discrete Painlevé equations
Physics Letters A, vol. 226, no. 1-2, pp. 53–58, 1997
A study of the discrete Pv equation: Miura transformations and particular solutions
Letters in Mathematical Physics, vol. 38, no. 3, pp. 289–296, 1996
From discrete to continuous Painlevé equations: A bilinear approach
Physics Letters A, vol. 216, no. 6, pp. 255–261, 1996
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
Schlesinger transforms for the discrete painlev? IV equation
Letters in Mathematical Physics, vol. 29, no. 1, pp. 49–54, 1993
Integrability of Toda lattice by generalized variational symmetry approach
Journal of Mathematical Physics, vol. 34, no. 5, p. 1876, 1993
Lie symmetries of Hirota’s bilinear equations
Journal of Mathematical Physics, vol. 32, no. 10, p. 2635, 1991
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
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
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
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
Linearization and Painleve´ property of Liouville and Cheng equations
Journal of Mathematical Physics, vol. 27, no. 9, p. 2257, 1986
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
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
Infinitely many lie-bäcklund symmetries for a quasi-linear evolution equation
Physics Letters A, vol. 90, no. 4, pp. 159–161, 1982
Motion of strings, embedding problem and soliton equations
Applied Scientific Research, vol. 37, no. 1-2, pp. 127–143, 1981