List of publications



Editing Separate Issues

  1. A.V. Mikhailov, E.A. Kuznetsov, A.C. Newell and V.E. Zakharov ``The Nonlinear Schrödinger Equation'', guest editors of a special issue, Physica D 87, No 1-4, pp. 1-380, North Holland, 1995.


  2. A.P. Fordy and A.V. Mikhailov ``Nonlinear Evolution Equations and Dynamical Systems'', guest editors of a special issue, Theoretical and Mathematical Physics 122 No 1, pp. 1-134.


  3. A.P. Fordy and A.V. Mikhailov ``Nonlinear Evolution Equations and Dynamical Systems'', guest editors of a special issue, Theoretical and Mathematical Physics No 2, pp. 135-268, 2000.


  4. A.V. Mikhailov and P.M. Santini, ``Nonlinear Evolution Equations and Dynamical Systems'', guest editors of a special issue, Theoretical and Mathematical Physics 133 No 2, pp. 1443-1606, 2002.


  5. A.V. Mikhailov and P.M. Santini, ``Nonlinear Evolution Equations and Dynamical Systems'', guest editors of a special issue, Theoretical and Mathematical Physics 133 No 3, pp. 1607-1756, 2002.


  6. A.V. Mikhailov and P.M. Santini, ``Nonlinear Evolution Equations and Dynamical Systems'', guest editors of a special issue, Theoretical and Mathematical Physics 134 No 1, pp. 1-140, 2003.

    Parts of Books


  7. A.V. Mikhailov, ``Relativistically Invariant Models of a Field Theory Integrable by the Inverse Scattering Method'', Lecture Notes in Mathematical v.970, p.186-196, Berlin, Heidelberg, New-York, London, Paris, Springer Verlag, 1982


  8. A.V. Mikhailov, ``Integrable Magnetic Models'', ed. by V.E. Zakharov, V.L. Pokrovskii and S.E. Trullinger, in book ``Solitons'', ``Modern Problem in Condensed matter'', v.17, p.623-690, Elsevier Science Publishers B.V., 1986


  9. I.R. Gabitov and A.V. Mikhailov, ``Superfluorescence Under Atomic Level Ddegeneration'', ``Plasma Theory, Nonlinear and Turbulent Processes in Physics'', Book of Selected Papers, vol. 2, pp. 779-787, World Scientific, 1988


  10. A.V. Mikhailov, A.B. Shabat and V.V. Sokolov, ``Classification of Integrable Equations'', ed. V.G. Bar'yakhtar, V.E. Zakharov, V.M. Chernousenko, in book ``Integrability and Kinetic Equations for Solitons'', pp. 213-279, Kiev, Naukova dumka, 1990


  11. A.V. Mikhailov, V.V. Sokolov and A.B. Shabat, ``The Symmetry Approach to Classification of Integrable Equations'', ed. by V.E. Zakharov, in book ``What is Integrability?'', pp. 113-184, Berlin, Heidelberg, New-York, London, Paris, Tokio, Hong Kong, Barcelona, Springer Verlag, 1991


  12. A.V. Mikhailov and A.B. Shabat, ``Symmetries - Tests of Integrability'', ed. by A. Fokas and V.E. Zakharov, in book ``Important Developments in Soliton Theory'', pp 355-374, Berlin, Heidelberg, New-York, London, Paris, Tokio, Hong Kong, Barcelona, Budapest, Springer Verlag, 1993


  13. A.V. Mikhailov and I.A. Shimokhin, ``Spectrum of Domain Wall Excitations in YIG'', ed. by A.S. Fokas, D.J. Kaup, A.C. Newell and V.E. Zakharov, in book ``Nonlinear Processes in Physics'', pp. 47-52, Berlin, Heidelberg, New-York, London, Paris, Tokio, Hong Kong, Barcelona, Budapest, Springer Verlag, 1993


  14. A.V. Mikhailov, H.J. de Vega and N. Sánchez, ``New Solutions of the classical String Equations in De Sitter Space'', ed. by K.H. Spatschek and F.G. Mertens, in the book ``Nonlinear Coherent Structures in Physics and Biology'', NATO ASI Series B: Physics Vol. 329, pp. 271-274, New York, Plenum Press, 1994


  15. Y. Kodama and A.V. Mikhailov, ``Obstacles to Asymptotic Integrability'', ed. I.M. Gelfand and A. Fokas, in book ``Algebraic aspects of Integrability'', pp 173-204, Boston, Basel, Berlin, Birkhauser, 1996


  16. A.V. Mikhailov, ``Variationalism and Empirio-criticism. (Exact and variational approaches to fibre optics equations.)'', ed. V.E. Zakharov and S. Wabnitz, in book ``Optical Solitons: Theoretical challenges and Industrial Perspectives'', pp 63-72, Berlin, Heidelberg; Springer, 1999


  17. J. Leon and A.V. Mikhailov, ``Transient Raman Amplification'', ed. V.E. Zakharov and S. Wabnitz, in book ``Optical Solitons: Theoretical challenges and Industrial Perspectives'', pp 265-282, Berlin, Heidelberg; Springer, 1999


  18. S.K. Turitsyn and A.V. Mikhailov, ``Application of soloitons'', ed. R. Pike and P.Sabatier, in book ``Scattering'', Academic Press, pp 1741-1753, 2001.

    Papers in Refereed Journals


  19. E.A. Kuznetsov and A.V. Mikhailov, ``Stability of Stationary Waves in Nonlinear Weak-dispersive Media'', Journal of Experimental and Theoretical Physics, V.67, p.1717-1727, 1974


  20. A.V. Mikhailov, ``Integrability of the Two Dimensional Thirring Model'', Letters in Journal of Experimental and Theoretical Physics, v.23, p.356-358, 1976


  21. E.A. Kuznetsov and A.V. Mikhailov, ``On the Compete Integrability of the Two Dimensional Classical Thirring Model'', Theoretical and Mathematical Physics, v.30, p. 303, 1977,


  22. V.E. Zakharov and A.V. Mikhailov, ``An Example of Nontrivial Interection of Solitons in Two-dimensional Field Theory'', Letters in Journal of Experimental and Theoretical Physics v.27, p. 47, 1978


  23. V.S. L 'vov and A.V. Mikhailov, ``Sound and Hydrodynamic Turbulence in a Compressible Liquid'', Journal of Experimental and Theoretical Physics, v.74, 1445 - 1457, 1978


  24. V.E. Zakharov and A.V. Mikhailov, ``Relativistically Invariant Models of Field Theory, Integrable by Inverse Transform Method'', Journal of Experimental and Theoretical Physics, v.74, pp. 1953-1973, 1978


  25. V.S. L 'vov and A.V. Mikhailov, ``Scattering and Interaction of Sound in Turbulence'', Journal of Experimental and Theoretical Physics, v.75, pp. 1669-1682, 1978


  26. A.V. Mikhailov, ``Integrability of Supersymmetric Generalization of the Classical Chiral Model in Two-dimensional Space-time'', Letters in Journal of Experimental and Theoretical Physics, v.28, pp. 554-558, 1978


  27. A.V. Mikhailov and A.M. Perelomov, ``Instanton like Solutions for Supersymmetric Chiral Model'', Journal of Experimental and Theoretical Physics Letters, v.29, p. 445, 1979


  28. A.V. Mikhailov, ``On the Integrability of two-dimensional Generalization of the Toda Lattice'', Letters in Journal of Experimental and Theoretical Physics, v.30, p. 443-448, 1979


  29. V.E. Zakharov and A.V. Mikhailov, ``The Variational Principle for Equations Itegrable by the Inverse Transform Method'', Functional Analysis and Its Application, v.14, pp. 55-56, 1980


  30. A.V. Mikhailov and V.E. Zakharov, ``On the Integrability of Classical Spinor Models in Two Dimensional Space-time'', Communications in Mathematical Physics, v.74, p. 21-40, 1980


  31. E.A. Kuznetsov and A.V. Mikhailov, ``On the Topological Meaning of the Classical Clebcsh Variables'', Physics Letters, v.77A, p.37-38, 1980


  32. A.V. Mikhailov, ``Reductions in Integrable Systems. The Reduction Groups.'', Letters in Journal of Experimental and Theoretical Physics, v.32, pp. 187-192, 1980


  33. V.S. L 'vov and A.V. Mikhailov, ``Contribution to the Nonlinear Theory of Sound and Hydrodynamic Turbulence of a Compressible Liquid'', Physica 2D, 224-243, 1981


  34. A.V. Mikhailov, ``Reduction Problem and the Inverse Scattering method'', Physica 3D, N1&2, p73-117, 1981


  35. A.V. Mikhailov, M.A. Olshanetskii and A.M. Perelomov, ``Two Dimensional Generalized Toda Lattice'', Communications in Mathematical Physics, v.79, p. 473, 1981


  36. A.V. Mikhailov and A.I. Yaremchuk, ``Cylindrically Symmetric Solutions of the Non-linear Chiral Model ($\sigma $ - model)'', Nuclear Physics, B202, p. 508-522, 1982


  37. A.V. Mikhailov and A.I. Yaremchuk, ``The Axially Symmetric Solutions of the Two-dimensional Heisenberg model'', Letters in Journal of Experimental and Theoretical Physics, v.36, p78-84, 1982


  38. A.V. Mikhailov, ``The Landau-Lifschitz Equation and the Riemann Boundary Problem on a Torus'', Physics Letters A92, p.51, 1982


  39. I.R. Gabitov, V.E. Zakharov and A.V. Mikhailov, ``On the Shape of the Superfluorescence Pulse'', Letters in Journal of Experimental and Theoretical Physics, v.37, p. 234 - 237, 1983


  40. V.E. Zakharov and A.V. Mikhailov, ``The Inverse Scattering Method with the Spectral Parameter on Algebraic Curves'', Functional Analisis and Its Applications, v.17, p. 1-6, 1983


  41. I.R. Gabitov, V.E. Zakharov and A.V. Mikhailov, ``Non-linear Theory of the Superfluorescence'', Journal of Experimental and Theoretical Physics, v.86, pp. 1204-1216, 1984


  42. A.V. Mikhailov and A.I. Yaremchuk, ``The Forced Motion of a Domain Wall in the Field of a Spin-wave'', Letters in Journal of Experimental and Theoretical Physics, v.39, p. 296-299, 1984


  43. I.R. Gabitov, V.E. Zakharov and A.V. Mikhailov, ``The Maxwell-Bloch Equation and the Inverse Scattering Method'', Theoretical and Mathematical Physics, v.63, pp. 11-31, 1985


  44. A.V. Mikhailov and A.B. Shabat, ``The Integrability Conditions for the System of two Equations of the form ${\bf u}_{t} =A({\bf u}){\bf u}_{xx}+{\bf F}({\bf u},{\bf u}_{x})$. I'', Theoretical and Mathematical Physics, v.62, pp. 163-185, 1985


  45. A.V. Mikhailov and A.B. Shabat, ``The Integrability Conditions for the System of two Equations of the form ${\bf u}_{t} =A({\bf u}){\bf u}_{xx}+{\bf F}({\bf u},{\bf u}_{x})$. II'', Theoretical and Mathematical Physics, v.66, pp. 47-65, 1986


  46. A.V. Mikhailov and A.B. Shabat, ``Integrable Deformations of the Heisenberg model'', Physics Letters, A116, pp. 191-194, 1986


  47. S.P. Burtsev, V.E. Zakharov and A.V. Mikhailov, ``The Inverse Scattering Method with Variable Spectral Parameter'', Theoretical and Mathematical Physics, v.70, p.232-241, 1987


  48. A.V. Mikhailov, A.B. Shabat and R.I. Yamilov, ``On an Extansion of the Module of Invertible Transformations'', Soviet Mathematical Doklady (Soviet Mathematical Surveis) , v.295, pp. 288-291, 1987


  49. A.V. Mikhailov, A.B. Shabat and R.I. Yamilov, ``The Symmetry Approach to the Classification of Non-linear Equations. Complete Lists of Integrable Systems'', Soviet Mathematical Doklady (Soviet Mathematical Surveis), v.42, pp. 3-53, 1987


  50. V.E. Zakharov and A.V. Mikhailov, ``Domains of Polarization in Nonlinear Optics'', Letters in Journal of Experimental and Theoretical Physics v.45, p.279-282, 1987


  51. A.V. Mikhailov, A.B. Shabat and R.I. Yamilov, ``Extension of the Module of Invertible Transformations and Classification of Integrable Systems'', Communications in Mathematical Physics, v.115, pp. 1-19, 1988


  52. A.V. Mikhailov and S. Wabnitz, ``Polarization Dynamics of Counterpropogating Beams in Optical Fibers'', Optics Letters, v.15, pp. 1055-1057, 1990


  53. A.V. Mikhailov and I.A. Shimokhin, ``Excitation Spectrum of a Domain wall in Uniaxial Ferromagnets'', Journal of Experimental and Theoretical Physics, 97, 1966, 1990


  54. A.V. Mikhailov, H.J. de Vega and N. Sánchez, ``Exact String Solutions in 2+1 - Dimensional de Sitter Spacetime'' Theoretical and Mathathematical Physics, v. 94, pp. 232, 1993


  55. A.V. Mikhailov and I.A. Shimokhin, ``Spectrum of $180^{\circ }$ Bloch-Type Domain Wall Excitations in Yttrium Iron Garnet'', Physical Reveiw B, v. 48, N13 pp. 9569-9674, 1993


  56. F. Combes, A.V. Mikhailov, H.J. de Vega and N.Sánchez,``Multi-String Solutions by Soliton Methods in de Sitter Spacetime'' Physical Reveiw D, 30, N 4, pp. 2754-2768, 1994


  57. E.A. Kuznetsov and A.V. Mikhailov, ``Relaxation Oscillations of Solitons'' Letters in Journal of Experimental and Theoretical Physics, v. 60, pp. 466-470, 1994


  58. E.A. Kuznetsov, A.V. Mikhailov and I.A. Shimokhin, ``Nonlinear Interaction of Solitons and a Radiation'' Physica D, v. 87, pp. 201-215, 1995


  59. C. Montes, A.V. Mikhailov, A. Picozzi and F. Ginovart, ``Dissipative 3-wave Structures Stimulated Backscattering: I. Sub-Luminous solitary attractor'', Physical Reveiw E, v55, pp. 1086-1091, 1997


  60. A.V. Mikhailov and R.I. Yamilov, ``On Integrable two-dimensional generalisations of Nonlinear Schrödinger type Equations'' Physics Letters A, 230, pp. 295-300, 1997


  61. Y. Kodama, A.V. Mikhailov and S. Wabnitz, ``Input pulse optimization in wavelength-division-multiplexed soliton transmissions'', Journal of Optics Communicatons, 143/1-3, pp. 53-56, 1997


  62. A.V. Mikhailov and R.I. Yamilov, ``Towards Classification of 2+1 dimensional Integrable Equations. Integrability conditions I'', Journal of Physics A, 31, pp. 6707-6715, 1998.


  63. J. Leon and A.V. Mikhailov, ``Raman Soliton Generation from Laser Inputs in SRS'', Physics Letters A, 253, pp, 33-40, 1999


  64. A.V. Mikhailov and V.V. Sokolov, ``Integrable evolutionary equations on free associative algebras'', Journal of Theoretical and Mathematical Physics (TMF), 122, pp 72-83, 2000.


  65. A.V. Mikhailov and V.V. Sokolov, ``Integrable ODEs on Associative Algebras'', Communications in Mathematical Physics, 211, pp. 231-251, 2000.


  66. Y. Kodama and A.V. Mikhailov, ``Symmetry and perturbation of the vector nonlinear Schrödinger equation '', Physica D 152-153, pp 171-177, 2001.


  67. A.V. Mikhailov, V.Yu. Novokshenov, ``The Period Map for Pulse Propagation in Nonlinear Optical DM Fibres'', JETP Letters, Vol. 73, No. 5, pp. 250-254, 2001.


  68. A.V. Mikhailov, V.S. Novikov, ``Perturbative symmetry approach''. J. Phys. A 35, no. 22, 4775-4790, 2002.


  69. A.V. Mikhailov, V.S. Novikov, Classification of integrable Benjamin-Ono-type equations. Moscow Mathematical Journal 3, no. 4, 1293-1305, 2003.


  70. A.V. Mikhailov, V.Yu. Novokshenov, ``Period Map for Nonlinear Pulses in Optical Dispersion-Managed Fibres'', Theoretical and Mathematical Physics, 134, no 1, pp. 107-116, 2003.


  71. S. Lombardo, A.V. Mikhailov. ``Reductions of integrable equations: dihedral group''. J. Phys. A 37, no. 31, 7727-7742, 2004.


  72. S. Lombardo, A.V. Mikhailov ``Reduction groups and Automorphic Lie Algebras''. Communication in Mathematical Physics, (2005), published electronically in March (DOI: 10.1007/s00220-005-1334-5), 258, no. 1, pp. 179-202, 2005.


  73. A.V. Mikhailov, V.S. Novikov and J.P. Wang, ``Partially integrable nonlinear equations with one higher symmetry'', J. Phys. A: Math. Gen. 38, L337-L341, 2005.


  74.            Other

  75.   A.A. Galeev, E.A. Kuznetsov, A.V. Mikhailov, Yu.E. Nesterikhin, S.P. Novikov, R.Z. Sagdeev, Ya.G. Sinai, G.I. Smirnov, V.E. Fortov, I.M. Khalatnikov, B.V. Chirikov, A.B. Shabat," Vladimir Evgen'evich Zakharov (on his sixtieth birthday)" ,Physics Uspekhi, Volume 42, Number 10, Pages 1063-1064, 1999.






AVM 2005-11-20