List of publications
Books : 2
Papers : 58
BOOKS
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Symmetries and Singularity Structures : Integrability
and Chaos in Nonlinear Dynamical Systems, M. Lakshmanan and M. Daniel (Ed.)
Springer Verlag, Heidelberg, 1990
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Nonlinear Dynamics: Integrability and Chaos, M. Daniel, K.
M. Tamizhmani and R.Sahadevan (Narosa, New Delhi, 2000)
PAPERS
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Stationary, spherically and axially symmetric spin waves
in the continum Heisenberg spin system, M. Lakshmanan, P. Kaliappan and
M. Daniel, Phys. Letts. A75, 97 - 98 (1979)
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Point singularities in micromagnetic systems with radial
symmetry, M. Lakshmanan, M. Daniel and P. Kaliappan, J. Phys. C13,
4743 - 4749 (1980)
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On the evolution of higher dimensional Heisenberg continuum
spin systems, M.Lakshmanan and M.Daniel, Physica A107, 533 - 552
(1981)
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Soliton damping and energy loss in the classical continuum
Heisenberg spin chain, M.Lakshmanan and M.Daniel, Phys. Rev. B24,
6751 - 6754 (1981)
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Solitons in magnetic chains by M.Lakshmanan and M.Daniel
in Current Trends in Magnetism (Ed.) N.S.Satyamurthy and L.Madhav
Rao, (Indian Physics Association Publication, 1981) pp. 263 - 275
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Comment on the classical models of electrons and nuclei and
the generalization of classical Poisson brackets to include spin, M.Laksmanan
and M.Daniel, J.Chem.Phys. 78,7505 - 7506 (1983)
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Perturbation of solitons in the classical continuum isotropic
Heisenberg spin system, M.Daniel and M.Lakshmanan, Physica A120,
125 - 152 (1983)
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The Painleve property for one dimensional anisotropic Heisenberg
ferromagnetic spin chain, M.Daniel, ICTP Internal Report No.IC/83/103
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Solitons in one dimensional Heisenberg ferromagnets, M.Daniel,
ANJAC Journal 5, 19 - 23 (1985)
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On the nonlinear excitations in one dimensional uniaxial
Heisenberg ferromagnetic spin chain in external magnetic fields, by M.Lakshmanan,
M.Daniel and K.Nakamura in Dynamical Problems in Soliton Systems
(Ed.) S.Takeno (Springer, Tokyo, 1985) pp. 210 - 216
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Perturbation and damping of solitons in the Heisenberg ferromagnetic
spin system by M.Daniel in Solitons and Nonlinear Systems (Ed.)
D.K.Sinha and P.Ghose (South Asian Publishers Pvt. Ltd., New Delhi, 1986)
pp. 106 - 113
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On the weak Painleve property and linearization of the evolution
equation ut =uxxx + u2uxx +
3uux 2 + 1/3u4ux , M.Daniel
and R.Sahadevan, Phys. Letts. A130, 19 - 21(1988)
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Effect of discreteness on the continuum limit of the Heisenberg
spin chain, M.Lakshmanan, K.Porsezian and M. Daniel, Phys. Letts. A133,
483 - 488 (1988)
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Soliton dynamics of hydrogen-bonded systems, B. Dey and M.
Daniel, J. Phys.: Condensed Matter 2, 2331-2333 (1990)
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Painleve analysis and integrability of the evolution equation
ut =uxxx + u2uxx + 3uux
2
+ 1/3u4ux by M. Daniel and R. Sahadevan in Nonlinear
Physics (Ed.) Gu Chaohao, Li Yi Shen and Tu Guizhang (Springer
Verlag, Heidelberg, 1990) pp.273-279
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On the nonlinear dynamics of the one dimensional classical
Heisenberg ferromagnetic spin chain, by M. Lakshmanan, K. Porsezian and
M.Daniel in Nonlinear Evolution Equations : Integrability and
spectral Methods, (Ed.) A.Degasperis, A.Fordy and M.Lakshmanan (Manchester
University Press, London, 1990) pp. 541558
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Generalized X dependent Hirota equation: Singularity
structure, Backlund transformation and soliton solutions, K. Porsezian,
M.Daniel and R.Bharathikannan, Phys.Letts., A156, 206-210 (1991)
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On the integrability of classical Heisenberg spin chain with
biquadratic anisotropic exchange interaction, M. Daniel, Los Alamos Preprint
No. LA-UR/913633
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Singularity structure analysis of Heisenberg
spin chain with anisotropic and transverse field : Nonintegrability
and Chaos, M.Daniel, M.D.Kruskal ,M.Lakshmanan and K.Nakamura, J.Math.Phys.
33,
771 776 (1992)
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Nonlinear excitations in the classical continuum antiferromagnetic
Heisenberg spin chain, M. Daniel and A.R. Bishop, Phys.Letts. A162,
162 166 (1992)
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Integrability aspects of the one dimensional classical
continuum isotropic biquadratic Heisenberg spin chain, K.Porsezian, M.Daniel
and M.Lakshmanan, J.Math. Phys. 33, 1807-1816 (1992)
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On the integrable models of the higher order water wave equation,
M. Daniel, K. Porsezian and M. Lakshmanan, Phys. Letts. A174, 237-240
(1993)
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Integrability aspects of a higher order nonlinear Schrodinger
equation in nonlinear optics, by K. Porsezian, M.Daniel and M. Lakshmanan,
in Nonlinear Evolution Equations and Dynamical Systems (Eds.) V.G.
Makhankov, I. Puzynin and O. Pashaev (World Scientific, Singapore, 1993)
pp.436-443
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On the spin excitations in the classical continuum Heisenberg
antiferromagnetic spin systems, M. Daniel and R. Amuda, Phys.Letts. A191,
46-56 (1994)
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On the integrability of the inhomogeneous spherically symmetric
Heisenberg ferromagnet in arbitrary dimensions, M. Daniel, K. Porsezian
and M. Lakshmanan, J.Math.Phys. 35, 6498-6510 (1994)
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Dynamics of a generalized Heisenberg ferromagnetic spin chain,
M. Daniel and E.Gutkin, Chaos 5, 439-442 (1995)
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Nonlinear dynamics of weak ferromagnetic spin chain, M. Daniel
and R.Amuda, J.Phys.A28, 5529-5537 (1995)
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Bright and dark optical solitons in coupled higher order
nonlinear Schrodinger equations through singularity structure analysis,
R. Radhakrishnan, M. Lakshmanan and M. Daniel, J.Phys. A28, 7299-7314
(1995)
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Davydov soliton in alpha helical proteins: Higher order and
discreteness effects, M.Daniel and K. Deepamala, Physica A221, 241-255
(1995)
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Dynamics of an inhomogeneous anisotropic antiferromagnetic
spin chain, M. Daniel and R.Amuda, Physica Status Solidi(b) 193,
439-444 (1996) (ICTP Preprint NO. IC/94/340)
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Soliton in an inhomogeneous weak ferromagnet with Dzialoshinski
Moriya interaction, M.Daniel and R. Amuda, Phys.Rev. B53, R2930-2933
(1996) (ICTP Preprint NO. IC/95/340)
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Nonlinear spin-phonon excitations in an inhomogeneous compressible
biquadratic Heisenberg spin chain, R. Myrzakulov, M. Daniel and R. Amuda,
Physica A234, 715-724 (1997)
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Soliton and electromagnetic wave propagation
in a ferromagnetic medium, M.Daniel, V. Veerakumar and R. Amuda,
Phys.Rev. E55, 3619-3623 (1997)
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Soliton in discrete and continuum alpha helical proteins
with higher order excitations, M. Daniel and M.M. Latha, Physica A240,
526-546 (1997)
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Electromagnetic soliton damping in a ferromagnetic medium,
V. Veerakumar and M.Daniel, Phys. Rev. E57, 1197-1200 (1998).
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Geometric equivalence of an integrable discrete Heisenberg
spin chain, M. Daniel and K. Manivannan, Physical Review B57, 60-63
(1998)
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Fractal dimension anä tertiary structure of proteins,
M. Daniel, S. Baskar and M.M.Latha, Physica Scripta, 60, 270-276
(1999)
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Soliton in discrete and continuum alpha helical proteins
with interspine coupling, M. Daniel and M.M. Latha, Phys. Letts. A252,
92-108 (1999)
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On the geometric equivalence of certain discrete integrable
Heisenberg ferromagnetic spin chains, M. Daniel and K. Manivannan, J. Math.
Phys. 40, 2560-2567 (1999)
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Soliton excitations in a Heisenberg ferromagnetic spin chain
with octupole-dipole interaction, M. Daniel, L. Kavitha and R. Amuda ,
Phys. Rev. B59, 13774-13781 (1999)
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Geometric equivalence of certain discrete integrable Heisenberg
ferromagnetic spin chains, M. Daniel and K. Manivannan in "Nonlinear Dynamics:
Integrability and Chaos" (Eds.) M. Daniel, K.M. Tamizhmani and R. Sahadevan
(Narosa Publishing, New Delhi, 2000) pp. 375-387
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Electromagnetic soliton in a charge-free and a changed ferromagnetic
medium, V.Veerakumar and M. Daniel in "Nonlinear Dynamics : Integrability
and Chaos (Eds.) M. Daniel, K.M. Tamizhmani and R. Sahadevan (Narosa Publishing,
New Delhi, 2000) pp. 433-444
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Nonlinear dynamics of DNA with higher order interactions,
M. Daniel and M.M. Latha in "Nonlinear Dynamics: Integrability and Chaos"
(Eds.) M. Daniel, K.M. Tamizhmani and R. Sahadevan (Narosa Publishing,
New Delhi, 2000) pp. 445-456
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Nonlinear spin excitations and singularity structure of a
classical continuum spin ladder with ferromagnetic legs, M. Daniel, L.
Kavitha and R. Amuda, Physica A282, 155-175 (2000).
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Electromagnetic soliton in an anisotropic ferromagnetic medium
under nonuniform perturbation, V.Veerakumar and M.Daniel, Phys. Letts.
A278,
331-338 (2001)
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Localized spin excitations in an anisotropic Heisenberg ferromagnet
with Dzyaloshinski - Moriya interaction Phys. Rev. B63, 172302 (2001)
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A generalized Davydov model for energy transfer in alpha
helical proteins, M. Daniel and M. M. Latha Physica A297 (2001)
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A different approach to optical solitons in dielectric fibers,
V. Veerakumar and M. Daniel, (ICTP Preprint NO. IC/2001/63) Phys. Rev.
Letts. (Submitted)
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Magnetization Reversal in Ferromagnetic Film Through Solitons
by Electromagnetic Field, (ICTP Preprint NO. IC/2001/
) Phys. Rev. B. (Submitted)
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Simultaneous propagation of many electromagnetic signals
in ferromagnetic medium, V. Veerakumar and M. Daniel, Phys. Letts. A
(2001) In Press
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Propagation of electromagnetic soliton in ferromagnetic medium,
Anziam J. Appl. Math (2001) In Press
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Electromagnetic soliton in antiferromagnetic Medium, M. Daniel
and V. Veerakumar, Phys. Letts. A (2001) In Press
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Soliton in an anisotropic spin ladder with site and spin-dependent
D-M interaction, M. Daniel and L. Kavitha, Phys. Letts. A (2001)
In Press
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Soliton in alpha helical proteins with interspine coupling
at higher order, M. Daniel and M. M. Latha, Phys. Rev. E (Submitted)
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Electromagnetic soliton switching in a coupled ferromagnetic
system and possible logic gate operations, V.Veerakumar and M. Daniel,
Phys. Rev. E (Submitted)
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Nonlinear molecular excitations in nematic liquid crystals,
M. Daniel and K. Gnanasekaran, Phys. Rev. E (Submitted)
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Electromagnetic wave propagation in ferromagnets with higher
order interactions of inhomogeneous, biquadratic and octupole - dipole
type (To be submitted)
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Electromagnetic wave propagation in ferromagnetic medium
with site and spin - dependent interactions (To be submitted)