List of publications


    Books : 2

    Papers : 58

    BOOKS

    1. Symmetries and Singularity Structures :  Integrability and Chaos in Nonlinear Dynamical Systems, M. Lakshmanan and M. Daniel (Ed.) Springer ­ Verlag, Heidelberg, 1990
    2. Nonlinear Dynamics: Integrability and Chaos, M. Daniel, K. M. Tamizhmani and R.Sahadevan (Narosa, New Delhi, 2000)
    PAPERS
    1. 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)
    2. Point singularities in micromagnetic systems with radial symmetry, M. Lakshmanan, M. Daniel and P. Kaliappan, J. Phys. C13, 4743 - 4749 (1980)
    3. On the evolution of higher dimensional Heisenberg continuum spin systems, M.Lakshmanan and M.Daniel, Physica A107, 533 - 552 (1981)
    4. Soliton damping and energy loss in the classical continuum Heisenberg spin chain, M.Lakshmanan and M.Daniel, Phys. Rev. B24, 6751 - 6754 (1981)
    5. 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
    6. 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)
    7. Perturbation of solitons in the classical continuum isotropic Heisenberg spin system, M.Daniel and M.Lakshmanan, Physica A120, 125 - 152 (1983)
    8. The Painleve property for one dimensional anisotropic Heisenberg ferromagnetic spin chain, M.Daniel, ICTP Internal Report No.IC/83/103
    9. Solitons in one dimensional Heisenberg ferromagnets, M.Daniel, ANJAC Journal 5, 19 - 23 (1985)
    10. 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
    11. 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
    12. 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)
    13. 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)
    14. Soliton dynamics of hydrogen-bonded systems, B. Dey and M. Daniel, J. Phys.: Condensed Matter 2, 2331-2333 (1990)
    15. 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
    16. 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
    17. 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)
    18. On the integrability of classical Heisenberg spin chain with biquadratic anisotropic exchange interaction, M. Daniel, Los Alamos Preprint No. LA-UR/91­3633
    19. 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)
    20. Nonlinear excitations in the classical continuum antiferromagnetic Heisenberg spin chain, M. Daniel and A.R. Bishop, Phys.Letts. A162, 162 ­ 166 (1992)
    21. 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)
    22. On the integrable models of the higher order water wave equation, M. Daniel, K. Porsezian and M. Lakshmanan, Phys. Letts. A174, 237-240 (1993)
    23. 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
    24. On the spin excitations in the classical continuum Heisenberg antiferromagnetic spin systems, M. Daniel and R. Amuda, Phys.Letts. A191, 46-56 (1994)
    25. 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)
    26. Dynamics of a generalized Heisenberg ferromagnetic spin chain, M. Daniel and E.Gutkin, Chaos 5, 439-442 (1995)
    27. Nonlinear dynamics of weak ferromagnetic spin chain, M. Daniel and R.Amuda, J.Phys.A28, 5529-5537 (1995)
    28. 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)
    29. Davydov soliton in alpha helical proteins: Higher order and discreteness effects, M.Daniel and K. Deepamala, Physica A221, 241-255 (1995)
    30. 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)
    31. 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)
    32. Nonlinear spin-phonon excitations in an inhomogeneous compressible biquadratic Heisenberg spin chain, R. Myrzakulov, M. Daniel and R. Amuda, Physica A234, 715-724 (1997)
    33. Soliton and electromagnetic  wave   propagation   in  a ferromagnetic medium, M.Daniel, V. Veerakumar and R. Amuda, Phys.Rev. E55, 3619-3623 (1997)
    34. Soliton in discrete and continuum alpha helical proteins with higher order excitations, M. Daniel and M.M. Latha, Physica A240, 526-546 (1997)
    35. Electromagnetic soliton damping in a ferromagnetic medium, V. Veerakumar and M.Daniel, Phys. Rev. E57, 1197-1200 (1998).
    36. Geometric equivalence of an integrable discrete Heisenberg spin chain, M. Daniel and K. Manivannan, Physical Review B57, 60-63  (1998)
    37. Fractal dimension anä tertiary structure of proteins, M. Daniel, S. Baskar and M.M.Latha, Physica Scripta, 60, 270-276 (1999)
    38. Soliton in discrete and continuum alpha helical proteins with interspine coupling, M. Daniel and M.M. Latha, Phys. Letts. A252, 92-108 (1999)
    39. On the geometric equivalence of certain discrete integrable Heisenberg ferromagnetic spin chains, M. Daniel and K. Manivannan, J. Math. Phys. 40, 2560-2567 (1999)
    40. 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)
    41. 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
    42. 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
    43. 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
    44. 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).
    45. Electromagnetic soliton in an anisotropic ferromagnetic medium under nonuniform perturbation, V.Veerakumar and M.Daniel, Phys. Letts. A278, 331-338 (2001)
    46. Localized spin excitations in an anisotropic Heisenberg ferromagnet with Dzyaloshinski - Moriya interaction Phys. Rev. B63, 172302 (2001)
    47. A generalized Davydov model for energy transfer in alpha helical proteins, M. Daniel and M. M. Latha Physica A297  (2001)
    48. A different approach to optical solitons in dielectric fibers, V. Veerakumar and M. Daniel, (ICTP Preprint NO. IC/2001/63) Phys. Rev. Letts. (Submitted)
    49. Magnetization Reversal in Ferromagnetic Film Through Solitons by Electromagnetic Field, (ICTP Preprint NO. IC/2001/        ) Phys. Rev. B. (Submitted)
    50. Simultaneous propagation of many electromagnetic signals in ferromagnetic medium, V. Veerakumar and M. Daniel, Phys. Letts. A  (2001) In Press
    51. Propagation of electromagnetic soliton in ferromagnetic medium, Anziam J. Appl. Math (2001) In Press
    52. Electromagnetic soliton in antiferromagnetic Medium, M. Daniel and V. Veerakumar, Phys. Letts. A  (2001) In Press
    53. 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
    54. Soliton in alpha helical proteins with interspine coupling at higher order, M. Daniel and M. M. Latha, Phys. Rev. E  (Submitted)
    55. Electromagnetic soliton switching  in a coupled ferromagnetic system and possible logic gate operations, V.Veerakumar  and M. Daniel, Phys. Rev. E (Submitted)
    56. Nonlinear molecular excitations in nematic liquid crystals, M. Daniel and K. Gnanasekaran,  Phys. Rev. E (Submitted)
    57. Electromagnetic wave propagation in ferromagnets with higher order interactions of inhomogeneous, biquadratic and octupole - dipole type (To be submitted)
    58. Electromagnetic wave propagation in ferromagnetic medium with site and spin - dependent interactions (To be submitted)