My full list of publications (in total 147)

A. Books
B. Papers published in the major refereed journals
C. Patents
D. Papers published in the Proceedings of NAS of Ukraine
E. Papers published in the Proceedings of the Institute of Mathematics
F. Papers published in the Conference Proceedings
G. Papers published as preprints 

A. Books

  1.  Fushchych W.I. and R.Z.Zhdanov, Nonlinear Spinor Equations: Symmetry and Exact Solutions, Naukova Dumka Publishing, Kyiv, 1992
  2. W.Fushchych and R.Zhdanov, Symmetries and Exact Solutions of Nonlinear Dirac Equations, Naukova Ukraina Publishing, Kyiv, 1997 [DOWNLOAD]

B. Papers published in the major refereed journals

  1. Fushchych W.I., Shtelen W.M. and Zhdanov R.Z., On the new conformally-invariant equations and their exact solutions, Phys.Lett.B, 1985, 159, no.2/3, 189-191.
  2. Fushchych W.I. and Zhdanov R.Z., On some exact solutions of a system of nonlinear differential equations for spinor and vector fields, J.Phys.A: Math.Gen., 1987, 20, no.13, 4173-4190.
  3. Fushchych W.I. and Zhdanov R.Z., On the reduction and some exact solutions of nonlinear Dirac and Dirac-Klein-Gordon equations, J.Phys.A: Math.Gen., 1988, 21, no.1, L5-L9.
  4. Fushchych W.I. and Zhdanov R.Z., Symmetry and exact solutions of the Dirac equation, Soviet J. Particles and Nuclei, 1988, 19, no.5, 498-516.
  5. Fushchych W.I. and Zhdanov R.Z., On non-local ansatzes for the Dirac equation, J.Phys.A: Math.Gen., 1988, 21, no.23, L1117-1121.
  6. Fushchych W.I. and Zhdanov R.Z., Symmetry and exact solutions of nonlinear spinor equations, Phys.Reports, 1989, 172, no.4, 123-174.
  7. Fushchych W.I. and Zhdanov R.Z., On some new exact solutions of nonlinear d'Alembert-Hamilton system, Phys.Lett.A, 1989, 141, no.3/4, 113-115.
  8. Zhdanov R.Z. and Revenko I.V., On exact solutions of the nonlinear Dirac equation expressed in terms of the Bessel, Gauss, Legendre functions and Chebyshev-Hermite polynomials, Ukrainian Math.J., 1990, 42, no.4, 500-503.
  9. Zhdanov R.Z., On some exact solutions of the nonlinear Dirac-Hamilton system, Ukrainian Math.J., 1990, 42, no.5, 541-545.
  10. Fushchych W.I. and Zhdanov R.Z., Non-Lie ansatzes and exact solutions of the nonlinear spinor equations, Ukrainian Math.J., 1990, 42, no.7, 851-855.
  11. Zhdanov R.Z., Symmetry and exact solutions of nonlinear Galilei-invariant equations for spinor field, Ukrainian Math.J., 1991, 43, no.4, 458-463.
  12. Zhdanov R.Z. and Fushchych W.I., On non-Lie symmetry of a Galilei-invariant equation for a particle with the spin s=1/2, Theor.Math.Phys., 1991, 89, no.3, 1305-1309.
  13. Fushchych W.I., Zhdanov R.Z. and Revenko I.V., General solutions of the nonlinear wave and eikonal equations, Ukrainian Math.J., 1991, 43, no.11, 1364-1379.
  14. Fushchych W.I. and Zhdanov R.Z., On non-Lie reduction of the nonlinear Dirac equation, J.Math.Phys., 1991, 32, no.12, 3488-3490.
  15. Fushchych W.I., Zhdanov R.Z. and Yehorchenko I.A., On the reduction of the nonlinear multi-dimensional wave equations and compatibility of the d'Alembert-Hamilton system, J.Math.Anal.Appl., 1991, 161, no.2, 352-360.
  16. Fushchych W.I. and Zhdanov R.Z.,Conditional symmetry and reduction of partial differential equations, Ukrainian Math.J., 1992, 44, no.7, 875-886.
  17. Zhdanov R.Z., On the remarkable correspondence between generalized Thirring model and linear Klein-Gordon equation, J.Phys.A: Math.Gen., 1993, 26, no.8, L843-L845.
  18. Zhdanov R.Z., Revenko I.V. and Fushchych W.I., Orthogonal and non-orthogonal separation of variables in the wave equation, J.Phys.A: Math.Gen., 1993, 26, no.11, 5959-5972.
  19. Fushchych W.I. and Zhdanov R.Z., Anti-reduction and exact solutions of nonlinear heat equations, J.Non.Math.Phys., 1994, 1, no.1, 60-64.
  20. Zhdanov R.Z., Separation of variables in the nonlinear wave equation, J.Phys.A: Math.Gen., 1994, 27, no.4, L291-L297.
  21. Zhdanov R.Z. and Andrejtsev A.Yu., On remarkable reductions of the nonlinear Dirac equations, J.Non.Math.Phys., 1994, 1, no.2, 206-209.
  22. Zhdanov R.Z., Revenko I.V. and Fushchych W.I., Separation of variables in the two-dimensional wave equation with potential, Ukrainian Math.J., 1994, 46, no.10, 1343-1361.
  23. Fushchych W.I., Zhdanov R.Z. and Lahno V.I., On linear and nonlinear representations of the generalized Poincare groups in the class of Lie vector fields, J.Non.Math.Phys., 1994, 1, no.3 295-308. [Download]
  24. Lahno V.I., Zhdanov R.Z. and Fushchych W.I., Symmetry reduction and exact solutions of the Yang-Mills equations, J.Non.Math.Phys., 1995, 2, no.1, 51-72. [Download]
  25. Zhdanov R.Z. and Fushchych W.I., On non-Lie ansatzes and new exact solutions of the classical Yang-Mills equations, J.Non.Math.Phys., 1995, 2, no.2, 172-181.
  26. Zhdanov R.Z., Lahno V.I. and Fushchych W.I., Reduction of the self-dual Yang-Mills equations. I. The Poincare group, Ukrainian Math.J., 1995, 47, no.4, 456-462.
  27. Zhdanov R.Z., Conditional Lie-Baecklund symmetry and reduction of evolution equations, J.Phys.A: Math.Gen., 1995, 28, no.13, 3841-3850. [Download]
  28. Fushchych W.I., Roman O.V. and Zhdanov R.Z., Symmetry and some exact solutions of nonlinear polywave equations, Europhysics Lett., 1995, 31, no.2, 75-79. [Download]
  29. Zhdanov R.Z., Revenko I.V. and Fushchych W.I., On the new approach to variable separation in the time-dependent Schroedinger equation with two space dimensions, J.Math.Phys., 1995, 36, no.10, 5506-5521. [Download]
  30. Zhdanov R.Z. and Fushchych W.I., Conditional symmetry and new classical solutions of the Yang-Mills equations, J.Phys.A: Math.Gen., 1995, 28, no.21, 6253-6263. [Download]
  31. Zhdanov R.Z., Revenko I.V. and Fushchych W.I., On the general solution of the d'Alembert equation with a nonlinear eikonal constraint and its applications, J.Math.Phys., 1995, 36, no.12, 7109-7127.
  32. Zhdanov R.Z. Compatibility criteria and general solution of the nonlinear d'Alembert-eikonal system, Rep.Math.Phys., 1995, 36, no.2/3, 483-488. [Download]
  33. Nattermann P. and Zhdanov R.Z., On integrable Doebner-Goldin equations, J.Phys.A: Math.Gen., 1996, 29, no.11, 2869-2886.[Download]
  34. Fushchych W.I., Roman O.V. and Zhdanov R.Z., Symmetry reduction and some exact solutions of nonlinear biwave equations, Rep.Math.Phys., 1996, 37, no.2, 267-281. [Download]
  35. Zhdanov R.Z., Fushchych W.I. and Marko P.V., New scale-invariant nonlinear differential equations for a complex scalar field, Physica D, 1996, 95, 158-162. [Download]
  36. Zhdanov R.Z. and Tsifra I.M., Reduction of differential equations and conditional symmetry, Ukrainian Math.J., 1996, 48, no.5, 595-602.
  37. Zhdanov R.Z., Conditional symmetry and spectrum of the one-dimensional Schroedinger equation, J.Math.Phys., 1996, 37, no.7, 3198-3217. [Download]
  38. Zhdanov R.Z., On integration of nonlinear d'Alembert-eikonal system and conditional symmetry of nonlinear wave equations, J.Non.Math.Phys., 1997, 4, no.1-2, 49-62.
  39. Fairlie D.B., Zhdanov R.Z., A model for classical spacetime coordinates, J.Phys.A: Math.Gen. , 1997, 30, no.1, 245-249.[Download]
  40. Zhdanov R.Z., Separation of variables in (1+2)-dimensional Schroedinger equations, J.Math.Phys., 1997, 38, no.2, 1197-1217.[Download]
  41. Zhdanov R.Z. and Fushchych W.I., On new representations of Galilei groups, J.Non.Math.Phys., 1997, 4, no. 3-4, 426-435.[Download]
  42. Zhdanov R.Z., On quasi-exactly solvable matrix models, Phys.Lett.B, 1997, 405, no.3/4, 253-256. [Download]
  43. Zhdanov R.Z., On algebraic classification of quasi-exactly solvable matrix models, J.Phys.A: Math.Gen., 1997, 30, no.24, 8761-8770. [Download]
  44. Zhdanov R.Z., Revenko I.V. and Fushchych W.I. Stationary mKdV hierarchy and integrability of the Dirac equation by quadratures, Phys.Lett.A, 1998, 241, no.3, 155-158. [Download]
  45. Zhdanov R.Z. and Lahno V.I., Conditional symmetry of a porous medium equation, Physica D, 1998, 122, 178-186. [Download]
  46. Zhdanov R.Z. and Panchak O.A., New conditional symmetries and exact solutions of the nonlinear wave equation, J.Phys.A: Math.Gen., 1998, 31, no.43, 8727-8734. [Download]
  47. Zhdanov R.Z. and Lutfullin M., On separable Schroedinger-Maxwell equations, J.Math.Phys., 1998, 39, no.12, 6454-6458. [Download]
  48. Zhdanov R.Z., Lie symmetry and integrability of ordinary differential equations, J.Math.Phys., 1998, 39, no.12, 6745-6756.[Download]
  49. Spichak S. and Zhdanov R., On algebraic classification of Hermitian quasi-exactly solvable matrix Schroedinger operators on line, J.Phys.A: Math.Gen., 1999, 32, no.20, 3815--3831. [Download]
  50. Zhdanov R. and Zhalij A., Separation of variables in the Kramers equation, J.Phys.A: Math.Gen., 1999, 32, no.20, 3851--3863. [Download]
  51. Zhdanov R.Z., Integrability of the Riccati equations and stationary Korteveg-de Vries equations, Ukrainian Math.J., 1999, 51, no.6, 856--860.
  52. Zhdanov R.Z., Tsyfra I.M. and Popovych R.O., A precise definition of reduction of partial differential equations, J.Math.Anal.Appl., 1999, 238, no.1, 101--103. [Download]
  53. Doebner H.-D. and Zhdanov R.Z., The stationary KdV hierarchy and so(2,1) as a spectrum generating algebra, J.Math.Phys., 1999, 40, no.10, 4995--5003. [Download]
  54. Zhdanov R.Z. and Lahno V.I., Group classification of heat conductivity equations with a nonlinear source, J.Phys.A: Math.Gen., 1999, 32, no.42, 7405--7418. [Download]
  55. Zhdanov R. and Zhalij A., On separable Schroedinger equations, J.Math.Phys., 1999, 40, no.12, 6319--6338.[Download]
  56. Zhdanov R.Z. and Lahno V.I., On new realizations of the Poincare groups P(1,2), P(2,2), Ukrainian Math.J., 2000, 52, no.4, 447--462.
  57. Zhdanov R.Z. and Roman O.V., On preliminary symmetry classification of nonlinear Schroedinger equations with some applications to Doebner-Goldin model, Rep.Math.Phys., 2000, 45, no.2, 273--291.[Download]
  58. Zhdanov R.Z. and Andreitsev A.Yu., Non-classical reductions of initial-value problems for a class of nonlinear evolution equations, J.Phys.A: Math.Gen., 2000, 33, no.32, 5763--5781.[Download]
  59. Zhdanov R.Z., Lahno V.I. and Fushchych W.I., On covariant realizations of the Euclid group, Comm.Math.Phys., 2000, 212, no.3, 535--556.[Download]
  60. Basarab-Horwath P. and Zhdanov R.Z., Initial-value problems for evolutionary partial differential equations and higher-order conditional symmetries, J.Math.Phys., 2001, 42, no.1, 376--389.[Download]
  61. Basarab-Horwath P., Lahno V. and Zhdanov R., Classifying evolution equations, Nonlinear Analysis, 2001, 47, 5135--5144.[Download]
  62. Finkel F., Gomez-Ullate D., Gonzalez-Lopez A., Rodriguez M.A. and Zhdanov R., A_N type Dunkl operators and new spin Calogero-Sutherland models, Comm.Math.Phys., 2001, 221, 477--497.[Download]
  63. Basarab-Horwath P., Lahno V. and Zhdanov R., The structure of Lie algebras and the classification problem for partial differential equations, Acta Appl.Math., 2001, 69, no.1, 43--94.[Download]
  64. Finkel F., Gomez-Ullate D., Gonzalez-Lopez A., Rodriguez M.A. and Zhdanov R., New spin Calogero-Sutherland models related to B_N-type Dunkl operators, Nuclear Physics B, 2001, 613, 472--496.[Download]
  65. Zhdanov R.Z., Higher conditional symmetry and reduction of initial value problems, Nonlinear Dynamics, 2002, 28, 17--27. [Download]
  66. Finkel F., Gomez-Ullate D., Gonzalez-Lopez A., Rodriguez M.A. and Zhdanov R., On the Sutherland model of B_N type and its associated spin chain, Comm.Math.Phys., 2003, 233, 191--209.[Download]
  67. Gungor F., Lagno V.I. and Zhdanov R.Z., Symmetry classification of Kdv-type nonlinear evolution equations, J.Math.Phys., 2004, 45, no.6, 2280--2313.[Download]
  68. Lahno V. and Zhdanov R., Group classification of nonlinear wave equations, J.Math.Phys., 2005, 46, no.5.[Download]
  69. Lahno V., Zhdanov R. and Magda O., Group classification and exact solutions of nonlinear wave equations, Acta Appl. Math., 2006, 91, 253-313.[Download]
  70. Zhdanov R. and Lahno V., Group classification of the general second-order evolution equation: semi-simple invariance groups, J.Phys.A: Math.Theor., 2007, 40, 5083-5103 [Download]
  71. Qing Huang, V.Lahno, C.Z.Qu and R.Zhdanov, Preliminary group classification of a class of fourth-order evolution equations, J.Math.Phys., 2009, 50, 023503 [Download]
  72. R.Zhdanov, On relation between potential and contact symmetries of evolution equations, J.Math.Phys., 2009, 50, 053522 [Download]
  73. R.Zhdanov, Nonlocal symmetries of evolution equations, Nonlinear Dynamics, 2010, 60, no.3, 403-411 [Download]
  74. R.Zhdanov, On Lie group characterization of quasi-local symmetries of nonlinear evolution equations, Journal of Lie Theory, 2010, 20 , no.2, 375-392 [Download]
  75. Q.Huang, C.Z.Qu and R.Zhdanov, Classification of local and nonlocal symmetries of fourth-order nonlinear evolution equations, Reports on Mathematical Physics, 2010, 65, no.3, 337-366 [Download]
  76. Q.Huang, C.Z.Qu and R.Zhdanov, Group-theoretical framework for potential symmetries of evolution equations, J.Math.Phys., 2011, 52, 023514 [Download]
  77. R.Zhdanov, Nonlocal symmetries of systems of evolution equations, Adv. in Math.Phys., 2011, 2011, ID 456784 [Download]
  78. Q.Huang, C.Qu and R.Zhdanov, Group classification of linear fourth-order evolution equations, Reports on Mathematical Physics, 2012, 70, 331-343 [Download]
  79. Q.Huang and R.Zhdanov, Symmetry and exact solutuions of the time fractional Harry-Dym equation with Riemann-Liouville derivative, Physica A, 2014, 409, 110-118 [Download]
  80. Q.Huang and R.Zhdanov, Group classification of nonlinear evolution equations: Semi-simple groups of contact transformations, Communications Nonlinear Sci Numerical Sim, 2015, 26, 184-194 [Download]
  81. A.P. Hoseinbor, R. Zhdanov and A. Ushveridze, An unsupervised 2D point-set registration algorithm for unlabeled feature points: application to fingerprint matching, Pattern recognition Letters, 2018, 100, 137-143 [ArXiV version]
  82. Q. Huang and R. Zhdanov, Realizations of the Witt and Virasoro algebras and integrable equations, J.Non.Math.Phys., 2020, 27 (1), 36-56
  83. Q. Huang and R. Zhdanov, Nonlinear differential equations possessing infinitely many symmetries: Virasoro algebra, Journal of Vibration Testing and System Dynamics, 2021, 5 (3), 270-278

    C. Patents

  1. Renat Zhdanov and Alexander Ouchveridze, Adaptive short lists and acceleration of biometric database search, 2018, US patent 10,025,831
  2. Pasha Hosseinbor, Renat Zhdanov and Alexander Ouchveridze, Biometric recognition for uncontrolled acquisition environments, US patent 10,984,085

    D. Chapters in books

  1. Zhdanov R. and Lahno V., Symmetry and exact solutions of the Maxwell and SU(2) Yang-Mills equations, in: Advances in Chemical Physics. Modern Nonlinear Optics (Eds.: I.Prigogine, S.A.Rice and M.Evans), New York: John Wiley and Sons, 2001, 119, part II, 269-352.[Download]
  2. R.Zhdanov, V.Lahno, C.Z.Qu, Nonlinear evolution equations and semi-simple Lie algebras, in: Evolution Equations (Ed.: Arthur L. Claes), New York, Nova Science Publishers, 2011, Chapter 9, 331-362 [Download]
  3. Zhdanov R. and Huang Q., New applications of symmetry analysis to evolution equations, in: Emerging Concepts in Evolution Equations (Ed.:Carolyn Murphy), New York, Nova Science  Publishers, 2017, Chapter 2, 31-68

    E. Papers published in the Proceedings of the National Academy of Science of Ukraine

  1. Zhdanov R.Z., Smalij V.F. and Lahno V.I., Poincare-invariant ansatzes for the Maxwell field, Proc.Acad. of Sci. Ukraine, Ser.A, 1990, no.4, 5-7.
  2. Zhdanov R.Z. and Andrejtsev A.Yu., On the non-Lie reduction of Galilei-invariant spinor equations, Proc.Acad. of Sci. Ukraine, Ser.A, 1990, no.7, 8-11.
  3. Fushchych W.I., Revenko I.V. and Zhdanov R.Z., Non-symmetry approach to construction of exact solutions of a nonlinear wave equation, Proc.Acad. of Sci. Ukraine, 1991, no.7A, 15-19.
  4. Fushchych W.I., Zhdanov R.Z. and Revenko I.V., General solution of the nonlinear wave equation and of the eikonal equation, Proc.Acad. of Sci. Ukraine, 1991, no.10A, 15-19.
  5. Fushchych W.I., Zhdanov R.Z. and Smalij V.F., On the new exact solutions of the nonlinear Maxwell-Born-Infeld equations, Proc.Acad. of Sci. Ukraine, 1992, no.10A, 29-33.
  6. Fushchych W.I., Zhdanov R.Z. and Revenko I.V., On the new approach to variable separation in the wave equation with potential, Proc.Acad. of Sci. Ukraine, 1993, no.1, 27-32.
  7. Zhdanov R.Z. and Lahno V.I., On separability criteria for a time-invariant Fokker-Plank equation, Proc.Acad. of Sci. Ukraine, 1993, no.2, 18-21.
  8. Fushchych W.I., Lahno V.I. and Zhdanov R.Z., On nonlinear representation of the conformal algebra AC(2,2), Proc.Acad. of Sci. Ukraine, 1993, no.9, 44-47.
  9. Fushchych W.I. and Zhdanov R.Z., Anti-reduction of the nonlinear wave equation, Proc.Acad. of Sci. Ukraine, 1993, no.11, 37-41.
  10. Fushchych W.I. and Zhdanov R.Z., Conditional symmetry and anti-reduction of nonlinear heat equation, Proc.Acad. of Sci. Ukraine, 1994, no.5, 40-44.
  11. Zhdanov R.Z. and Lahno V.I., On the new exact solutions of the Yang-Mills equations, Proc.Acad. of Sci. Ukraine, 1994, no.8, 26-31.
  12. Zhdanov R.Z., Revenko I.V. and Fushchych W.I., On the new approach to variable separation in the two-dimensional Schroedinger equation, Proc.Acad. of Sci. Ukraine, 1994, no.11, 38-44.
  13. Zhdanov R.Z., Panchak O.A., On conditional symmetry of the nonlinear wave equation, Proc.Acad. of Sci. Ukraine, 1998, no.8, 33-36.
  14. Zhdanov R.Z. and Lahno V.I., Group classification of heat equations with nonlinear source, Proc.Acad. of Sci. Ukraine, 2000, no.3, 12--16.
  15. Zhdanov R.Z. and Zhalij A.Yu., On separation of variables in the Schroedinger equation, Proc.Acad. of Sci. Ukraine, 2000, no.5, 21--25.

F. Papers published in Proceedings of the Institute of Mathematics

  1. Fushchych W.I. and Zhdanov R.Z., Exact solutions of systems of nonlinear differential equations for spinor and vector fields, in: Group-Theoretical Studies of Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1985, 20-30.
  2. Zhdanov R.Z., On application of the Lie-Baecklund method to the study of symmetry properties of the Dirac equation, in: Group Theoretical Studies of Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1985, 70-73.
  3. Fushchych W.I. and Zhdanov R.Z., On some generalization of the method of separation of variables for linear systems of differential equations, in: Symmetry and Solutions of Nonlinear Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1987, 17-22.
  4. Zhdanov R.Z., On a nonlinear spinor equation admitting an infinite-dimensional symmetry group, in: Symmetry and Solutions of Nonlinear Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1987, 44-47.
  5. Zhdanov R.Z., On the general solution of the multi-dimensional Monge-Ampere equation, in: Symmetry Analysis and Solutions of Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1988, 13-16.
  6. Zhdanov R.Z. and Andrejtsev A.Yu., On the new classes of solutions of the Weyl equation with separated variables, in: Symmetry Analysis and Solutions of Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1988, 30-32.
  7. Zhdanov R.Z., On linearization and general solution of the two-dimensional nonlinear Dirac-Heisenberg and Dirac-Maxwell equations, Matemat.Fizika i Nelin.Mekhanika, 1989, no.11, 43-46.
  8. Zhdanov R.Z. and Smalij V.F., Conformal symmetry and separation of variables in the massless Dirac equation, in: Symmetry and Solutions of Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1989, 26-30.
  9. Zhdanov R.Z., On general solution of two-dimensional Galilei-invariant wave equation, in: Algebraic-Theoretical Analysis of Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1990, 30-33.
  10. Zhdanov R.Z. and Lahno V.I., On exact solutions of the nonlinear d'Alembert equation containing arbitrary functions, in: Algebraic-Theoretical Analysis of Mathematical Physics Equations, Kyiv: Institute of Mathematics, 1990, 34-39.
  11. Zhdanov R.Z. and Lahno V.I., Classification of commuting symmetry operators of the Levi-Leblond equation, in: Symmetry Analysis of Equations of Mathematical Physics, Kyiv: Institute of Mathematics, 1992, 35-40.
  12. Fushchych W.I., Zhdanov R.Z. and Revenko I.V., On the general solution of the d'Alembert equation with nonlinear eikonal constraint, in: Symmetry Analysis of Equations of Mathematical Physics, Kyiv: Institute of Mathematics, 1992, 68-90.
  13. Zhdanov R.Z. and Lahno V.I., Conditional symmetries of the (1+1)-dimensional Boussinesq equation: a no-go theorem, in: Proceedings of the Institute of Mathematics, Kyiv, 1998, 19, 88-99.
  14. Zhdanov R.Z. and Lutfullin M.V., Separation of variables in the Schroedinger equation with time-dependent potential, in: Proceedings of the Institute of Mathematics, Kyiv, 1998, 19, 100-105.
  15. Zhdanov R.Z. and Panchak O.A., On a class of non-Lie solutions of the nonlinear d'Alembert equation, in: Proceedings of Kyiv State University, Ser. Physics and Mathematics, 1998, no.1, 42-44.
  16. Zhdanov R.Z. and Lahno V.I., On new realizations of Lie algebra of the Poincare group P(1,2), in: Proceedings of the State University "L'vivs'ka Politekhnika", Applied Mathematics, 1998, no.337, 26-29.
  17. Zhdanov R.Z. and Lahno V.I., On realizations of the Euclid algebra within the class of vector Lie fields, Proceedings of the Cherkassy State University, 1998, 42-48.
  18. Zhdanov R.Z, On an integrable reduction of the Dirac equation, in: Proceedings of the Poltava State Pedagogical Institute, 1998, 3, 11--16.
  19. Lahno V. and Zhdanov R.Z., Towards a classification of realizations of the Euclid algebra e(3), in: Proceedings of the Institute of Mathematics, Kyiv: Institute of Mathematics, 2000, 30, Part 1, 146--150.
  20. Zhdanov R.Z., Higher conditional symmetries and reduction of initial value problems, in: Proceedings of the Institute of Mathematics, Kyiv: Institute of Mathematics, 2000, 30, Part 1, 255--274.
  21. Lagno V., Magda O. and Zhdanov R., On invariance properties of quasi-linear equations of hyperbolic type, in: Group and Analytical Methods in Mathematical Physics, Proceedings of the Institute of Mathematics, 2000, 36, 136--158.
  22. Gungor F., Lagno V. and Zhdanov R., Symmetry classification of KdV-type nonlinear evolution equations, in: Proceedings of Institute of Mathematics of NAS of Ukraine, 2004, 50, 125--130.
  23. Doebner H.-D., Kopp A. and Zhdanov R., Extensions of physical theories: Quantum Mechanics with internal degrees of freedom and nonlinear transformations, in: Proceedings of Institute of Mathematics of NAS of Ukraine, 2004, 50, 700-707.
  24. Zhdanov R.Z. and Lahno V.I., Group analysis of general  second-order evolution equation: invariance under transformation groups admitting non-trivial Levi decomposition, in: Proceedings of Institute of Mathematics of NAS of Ukraine, 2006, 3, no.2, 124-147. [Download]

G. Papers published in Conference Proceedings

  1. Fushchych W.I., Shtelen W.M. and Zhdanov R.Z., On the new conformally-invariant equations for spinor fields and their exact solutions, in: Group-Theoretical Methods in Physics, Moscow, Nauka, 1986, 497-500.
  2. Fushchych W.I., Shtelen W.M. and Zhdanov R.Z., On exact solutions of a nonlinear equation for spinor field, in: Modern Group Analysis. Methods and Applications, Leningrad: Institute of Computers and Automation, 1990, 22-30.
  3. Zhdanov R.Z. and Fushchych W.I., Symmetry and reduction of nonlinear Dirac equations, in: Nonlinear, Deformed and Irreversible Quantum Systems, Proc. of the Int. Symp. on Math.Phys., Eds.: H.-D.Doebner, V.K.Dobrev and P.Nattermann, World Scientific, 1995, 223-229.
  4. Zhdanov R.Z., Classification of separable (2+1)-dimensional Schroedinger equations, in: GROUP21, Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, Eds: H.-D.Doebner, W.Scherer and C.Schulte, World Scientific, 1997, Vol.2, 1052-1057.
  5. Zhdanov R.Z., On conditional symmetries of multidimensional nonlinear equations of quantum field theory, in: Proceedings of the Second International Conference "Symmetry in Nonlinear Mathematical Physics", Eds.: M.Shkil, A.Nikitin and V.Boyko, Institute of Mathematics, Kyiv, 1997, Vol.1, 53-61.
  6. Zhdanov R.Z. On conditional symmetries of nonlinear wave equations, in: Modern Group Analysis IV. Developments in Theory, Computation and Application, Eds.: N.H.Ibragimov and F.M.Mahomed, New Age International Publ., New Delhi, 1997, 355-363.
  7. Zhdanov R.Z., On integrability of systems of ODEs by quadratures and stationary solitonic hierarchies, in: Proceedings of the Vth Wigner Symposium (Vienna, Austria, 25-29 August 1997), 154-158.
  8. Zhdanov R.Z., Lie symmetry and integrability of ordinary differential equations by quadratures, in: Lie Theory and Its Applications in Physics II, Proc. of the Int. Workshop, Eds.: H.-D.Doebner, V.K.Dobrev and J.Hilgert, World Scientific, 1998,300--310.
  9. Zhdanov R.Z., On separable n-dimensional one-particle Schroedinger equations, in: Quantum Theory and Symmetries, Proc. of the Int. Symposium, Eds.: H.-D.Doebner, J.-D.Hennig, W.Luecke and V.K.Dobrev, World Scientific, 2000, 217--220.
  10. Finkel F., Gomez-Ullate D., Gonzalez-Lopez A., Rodriguez M.A. and Zhdanov R., Dunkl operators and Calogero-Sutherland models, in: New Trends in Integrability and Partial Solvability, Proc. of Int. Conference, Eds.: A.B.Shabat et al, Kluwer Academic Publishers, 2004, 157-189.
  11. Finkel F., Gomez-Ullate D., Gonzalez-Lopez A., Rodriguez M.A. and Zhdanov R., A survey of quasi-exactly solvable and spin Calogero-Sutherland models, in: CRM Proceedings and Lecture Notes, Vol. 37, 2004, 173-185.
  12. Zhalij A. and Zhdanov R., Separation of variables in time-dependent Schroedinger equations, in: CRM Proceedings and Lecture Notes, Vol. 37, 2004, 317-331.
  13. Zhdanov R.Z. and Lahno V.I., Group classification of the general evolution equation: local and quasilocal symmetries, SIGMA, Vol.1, 2005. [Download].

H. Papers published as preprints

  1. Fushchych W.I., Tichinin V.A., Zhdanov R.Z., Non-local linearization and exact solutions of some Monge-Ampere and Dirac equations, Kyiv: Institute of Mathematics, 1985, Preprint 85.34.
  2. Fushchych W.I. and Zhdanov R.Z., On some new exact solutions of nonlinear d'Alembert and Hamilton equations, Minneapolis: Institute for Mathematics and its Applications, 1988, Preprint 468.
  3. Zhdanov R.Z., Revenko I.V. and Smalij V.F., Reduction and exact solutions of Maxwell equations in vacuum, Kyiv: Institute of Mathematics, 1990, Preprint 90.19.
  4. Fushchych W.I., Zhdanov R.Z. and Revenko I.V., Compatibility and solutions of the nonlinear d'Alembert and Hamilton equations, Kyiv: Institute of Mathematics, 1990, Preprint 90.39.
  5. Zhdanov R.Z., On separation of variables in the Schroedinger equation for a particle interacting with external field, ESI-preprint no.591, Vienna, 1998.