18 January 1939, Russia

Married Raisa Khamitova in 1980. Two children - Sania (born 26.07.1983, female), Alia (born 25.11.1985, female)

• Department of Computational and Applied Mathematics
  University of the Witwatersrand
  P.O. Wits 2050, Johannesburg, South Africa

• Telephone (Office): (27)(11)716-3311
  Fax: (27)(11)339-7965
  E-mail: nhi@gauss.cam.wits.ac.za

• M.Sc., Mathematics, 1965, Novosibirsk State University
• Ph.D., Mathematics, 1967, Institute of Mathematics, Novosibirsk
• D.Sc., Mathematics, 1973, Institute of Mathematics, Novosibirsk

• Fluent in English, Russian, Tatar
• Read, understand and can translate into English and Russian from French, German, Italian
• Read and understand Bashkir, Turkish
• Studied (one year course) Japanese

• Professor, Department of Computational and Applied Mathematics, University of the Witwatersrand, South Africa, July 1994/to date.

• Head of the Research group on Group analysis in mathematical physics, Institute of Mathematical Modelling, Russian Academy of Sciences, Moscow, Russia, 1990-1995.
• Supervisor of the Research laboratory of Mathematical modelling, Ufa Aviation Tech. University, Ufa, Bashkir Republic, Russia, 1984-1991.

• Professor, Institute of Mathematical Modelling, Russian Academy of Sciences, Moscow, May 1990 - September 1993.
• Professor of Mathematics, Faculty of Applied Mathematics and Computer Science, Moscow State University, January 1988 - June 1993.
• Professor of Mathematics, Department of Mathematics, Moscow Institute of Physics and Technology, September 1987 - June 1991.
• Supervisor of the Research laboratory of Mathematical Modeling, Ufa Aviation Technical University, Ufa, Bashkir Republic, Russia, January 1984 - September 1991.
• Visiting Professor of Mathematics, Department of Engineering Sciences, Faculty of Science and Letters, Istanbul Technical University, Istanbul, Turkey, October 1993 - July 1994.
• Visiting Professor of Mathematics, Department of Mathematics, University of Catania, Catania, Italy, January-February 1991, January-February 1992.
• Visiting Professor of Mathematical Physics, Department of Physics and Astronomy, University of Georgia, Athens, Georgia, USA, March-May, 1992.
• Visiting Scientist, Laboratoire de Physique Theorique, Universite de Pierre et Marie Curie, Paris, June, 1992.
• Visiting Professor of Mathematics, Department of Mathematics and Applied Mathematics, University of Natal, Durban, South Africa, November-December, 1992.
• Visiting Professor of Mathematics, Centre de recherches mathématiques, Université de Montréal, Montréal, Canada, March-April, 1991.
• Professor of Mathematics, Keldysh Institute of Applied Mathematics, USSR Academy of Sciences, Moscow, March 1987 to May 1990.
• Director of the Research laboratory of Mathematical Physics, Bashkir Branch of USSR Academy of Sciences, Ufa, Bashkir Republic, USSR, 1980-1987.
• Professor of Mathematics, Department of Mathematics, Ufa Aviation Institute, Ufa, September 1980 to March 1983.
• Head of Department of Applied Mathematics, Ufa Aviation Institute, Ufa, March 1983 to March 1987.
• Visiting Professor of Mathematics, Department of Mathematics, University of Greifswald, Greifswald, Germany, May-June, 1984.
• Professor of Mathematical Physics, Coll\`{e}ge de France, Paris, Spring, 1980.
• Visiting Scientist, International Center for Theoretical Physics, Trieste, Italy, July-August, 1980.
• Professor of Applied Mathematics, Faculty of Applied Mathematics and Mechanics, Novosibirsk State University, Novosibirsk, September 1967 to June 1980.
• Professor of Mathematics, Institute of Hydrodynamics, Siberian Branch of USSR Academy of Sciences, Novosibirsk, June 1969 to November 1980.
• Visiting Professor of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, USA, October-December, 1976.
• Visiting Professor of Mathematical Physics, Department of Physics, University of the Pacific, Stockton, California, USA, January-March, 1977.
• Associate Professor of Applied Mathematics, Faculty of Applied Mathematics and Mechanics, Novosibirsk State University, Novosibirsk, September 1967 to September 1973.
• Assistant Professor of Mathematics, Department of Mathematics, Novosibirsk State University, Novosibirsk, June 1965 to September 1967.
• Senior Researcher, Institute of Hydrodynamics, Siberian Branch of USSR Academy of Sciences, Novosibirsk, October 1964 to June 1965.
• Research Fellow, Institute of Hydrodynamics, Siberian Branch of USSR Academy of Sciences, Novosibirsk, May 1963 to October 1964.

• Main field - Invariance Principles and Symmetry Analysis of Mathematical Models of Nature.
• Other fields - Lie Group Analysis of Differential Equations. Geometry and Relativity. Fluid Mechanics. History of the Symmetry Analysis in Mathematics and Physics.
• Current research interests - Theory of Approximate Groups. Deformations of Symmetry Lie Algebras. Lie-Bäcklund Transformation Groups. Approximate Representation of the de Sitter Group and Relativity in the de Sitter Universe. Invariance Principles in Boundary Value Problems. Lie Symmetry Analysis of Differential Equation in Finance.

• Fulbright Scholar, October 1976 - March 1977
• The USSR State Prize in Science and Technics, 1987
• Grant of Russian Fundamental Research (Russian Ac. Sci.), 1992-1993
• NATO Collaborative Research Grant, 1993-1994
• Member of the American Mathematical Society
• Member of the Moscow Mathematical Society
• A-rated researcher by FRD (Foundation for Research Development, Republic of South Africa) Evaluation, 1995/to date
• FRD Resarch Grant, 1996

• Differential Equations, 1993/to date
• Dynamics of Continuous Media, 1969-1981
• Lie Groups and Their Applications, Editor, 1994

• Co-Chairman of the International Joint IMU/IUTAM Symposium "Group Theoretic Methods in Mechanics", Novosibirsk, USSR, 1978.
• Chairman of the Annual National conferences in Russia on ``Lie Group Analysis of Differential Equations'', 1983 - 1993.
• Chairman of the Scientific Committee of the International Workshop ``Modern Group Analysis III'', Ufa, Bashkiria, 1991.
• Chairman of the Scientific Committee of the International Workshop ``Modern Group Analysis IV: Advanced Analytical and Computational Methods in Mathematical Physics'', Catania, Italy, 1992.
• Chairman of the Scientific Committee of the International Conference ``Modern Group Analysis V: Theory and Applications in Mathematical Modelling", Johannesburg, South Africa, 1994.
• Member of the Organizing Committee of the Workshop "Fourth Workshop on Differential Equations and Chaos", Johannesburg, South Africa, January 1996.
• Chairman of the Scientific Committee of the International Conference ``Modern Group Analysis VI: Developments in Theory, Computation and Applications", Johannesburg, South Africa, January 1996.

• Georgia Institute of Technology (Atlanta, USA), 1976-77
• Collège de France (Paris, France), 1979 and 1992
• University of Paris-VI (Paris, France), 1984
• International Center for Theoretical Physics (Trieste, Italy), 1980
• University of Greifswald (Greifswald, Germany), 1984
• University of Leipzig (Leipzig, Germany), 1984
• University of Catania (Catania, Italy), 1990, 1991 and 1992
• University of Montréal (Montréal, Canada), 1991
• University of Oslo (Oslo, Norway), 1992
• University of Natal (Durban, South Africa), 1993
• University of New South Wales (Sydney, Australia), 1994
• Stanford University (Stanford, USA), 1996
• Lecture series on Modern Group Analysis for mathematicians of Thailand, Organised by the Ministry of University Affairs of Thailand (Bangkok, Thailand), 1996

• Monographs: 6
• Editor of books: 3
• Editor of conference proceedings: 5
• Chapters in books: 27
• Translations: 3
• Papers: 70
• Papers in preparation: 9
• Communications to scientific meetings: 40

• MONOGRAPHS:
  1. Group Properties of Some Differential Equations, Nauka, Novosibirsk, 1967
  2. Lie Groups in Some Problems of Mathematical Physics, Novosibirsk University Press, Novosibirsk, 1972.
  3. Lie-Bäcklund Transformations in Applications, SIAM, Philadelphia, 1979 (with R. L. Anderson).
  4. Transformation Groups Applied to Mathematical Physics, Nauka, Moscow, 1983 (English translation by Reidel, Dordrecht, 1985)
  5. Primer on Group Analysis, Znanie, Moscow, 1989
  6. Essay on the Group Analysis of Ordinary Differential Equations, Znanie, Moscow, 1991.
• EDITOR OF BOOKS:
  1. Handbook of Lie Group Analysis of Differential Equations. Vol.1: Symmetries, Exact Solutions and Conservation Laws, CRC Press, Boca Raton, 1994.
  2. Handbook of Lie Group Analysis of Differential Equations. Vol.2: Applications in Engineering and Physical Sciencies, CRC Press, Boca Raton, 1995.
  3. Handbook of Lie Group Analysis of Differential Equations. Vol.3: New Trends in Theoretical Developments and Computational Methods, CRC Press, Boca Raton, 1996.
• EDITOR OF CONFERENCE PROCEEDINGS:
  1. Proc. Int. Symp. ``Group Theoretic Methods in Mechanics'', Novosibirsk, 1978, printed in Institute of Hydrodynamics, Novosibirsk, 1978 (with L. V. Ovsyannikov).
  2. Proc. Int. Workshop ``Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics'', Acireale (Catania), Italy, October 27-31, 1992, Kluwer Academic Publishers, Dordrecht, 1993 (with M. Torisi and A. Valenti).
  3. Proc. Int. Conference ``Modern Group Analysis V: Theory and Applications in Mathematical Modelling'', Johannesburg, South Africa, January 16-22, 1994, in: Lie Groups and Their Applications, vol. 1, No 1, 1994 (with F. M. Mahomed).
  4. Proc. Int. Conference ``Modern Group Analysis VI: Development in Theory, Computation and Application'', Johannesburg, South Africa, January 15-20, 1996 (in preparation, with F. M. Mahomed).
  5. ``Differential Equations and Chaos: Lectures on Selected Topics''. Selected topics presented at ``Fourth Workshop on Differential Equations and Chaos'', Johannesburg, South Africa, January 12-13, 1996 (in preparation, with F. M. Mahomed, D. P. Mason and D. Sherwell).
• TRANSLATIONS:
  1. J. Leray, ``Hyperbolic Differentaial Equations'', Institute for Advanced Study, Princeton, 1953, translation from English into Russian and edition, Nauka, Moscow, 1984.
  2. J. Leray, ``Garding's Method'', Lecture notes, translation from French into Russian, Nauka, Moscow, 1984.
  3. S. Lie, ``On Integration of a Class of Linear Partial Differential Equations by Means of Definite Integrals'', Arch. for Math., Bd. VI, S. 328-368, translation from German into English, in: CRC Handbook of Lie Group Analysis of Differential Equations, vol. 2, CRC Press, Boca Raton, 1995.
• CHAPTERS IN BOOKS:
  1. Bäcklund transformation for evolution equations, in Y. Choquet-Bruhat and C. DeWitt-Morette, Analysis, Manifolds and Physics, II, North-Holland, 1991.
  2. One-parameter transformation groups, in Handbook of Lie Group Analysis of Differential Equations. Vol.1: Symmetries, Exact Solutions and Conservations Laws, CRC Press, Boca Raton, 1994.
  3. Integration of second-order ordinary differential equations, ibid.
  4. Group classification of second-order ordinary differential equations, ibid.
  5. Invariant solutions, ibid.
  6. Lie-Bäcklund transformation groups, ibid, (with R. L. Anderson).
  7. Noether-type conservation theorems, ibid, (with R. L. Anderson).
  8. Ordinary differential equations, ibid.
  9. Second-order partial differential equations with two independent variables, ibid, (with R. K. Gazizov).
  10. Infinitesimal calculus of symmetry groups, in Handbook of Lie Group Analysis of Differential Equations. Vol.2: Applications in Engineering and Physical Sciencies, CRC Press, Boca Raton, 1995.
  11. Group classification of differential equations illustrated by equations of nonlinear filtration, ibid.
  12. Invariance principle in linear second-order partial differential equations, ibid.
  13. Huygens' principle: conformal invariance, Darboux transformation, and Coxeter groups, ibid.
  14. Applications to celestial mechanics and astrophysics, ibid.
  15. Utilization of Vessiot-Guldberg-Lie algebra for integration of nonlinear equation, ibid.
  16. Symmetry groups and fundamental solutions for linear equations of mathematical physics, ibid.
  17. Incompressible fluids, ibid, (with V. A. Baikov).
  18. Plasma theory: Vlasov-Maxwell and related equation, ibid.
  19. Nonlinear optics and acoustics, ibid.
  20. Lie-Bäcklund symmetries: representation by formal power series, in Handbook of Lie Group Analysis of Differential Equations. Vol.3: New Trends in Theoretical Developments and Computational Methods, CRC Press, Boca Raton, 1995}, (with R. L. Anderson).
  21. Approximate transformation groups and deformations of symmetry Lie algebras, ibid, (with V. A. Baikov and R. K. Gazizov).
  22. Differential equations with distributions: group theoretic treatment of fundamental solutions, ibid.
  23. Calculus of symmetry groups for integro-differential equations, ibid, (with S. V. Meleshko).
  24. Group theoretic modelling, ibid.
  25. Ordinary differential equations, ibid, (with F. M. Mahomed).
  26. Differential equations with a small parameter: exact and approximate symmetries, ibid.
  27. Differential constraints, ibid, (with S. V. Meleshko).
• PAPERS:
  1. Classification of invariant solutions for equations of two-dimensional gas motion, Zh. Prikl. Mekh. Tekh. Fiz. 4, 1968
  2. Transformations preserving harmonic coordinates, Soviet Math. Dokl. 9, n.4, 1968
  3. On the group classification of second order differential equations, Soviet Math. Dokl. 9, n.6, 1968
  4. Invariance of Dirac's equations, Soviet Math. Dokl. 10, n.2, 1969
  5. The wave equation in a Riemannian space, Continuum Dynamics 1, Novosibirsk, 1969
  6. Groups of generalized motions, Soviet Math. Dokl. 10, n.4, 1969
  7. Invariant variational problems and conservation laws, Theor. Math. Phys. 1, n.3, 1969
  8. Sur le problème de J. Hadamard relatif à la diffusion des ondes, C.R. Acad. Sci. Paris, Sér. A, 270, 1970 (with E.V. Mamontov)
  9. Conformal invariance and Huygens principle, Soviet Math. Dokl. 11, n.5, 1970
  10. The Huygens principle, in: Some Problems of Mathematics and Mechanics, Nauka, Leningrad, 1970 (English transl.: Amer. Math. Soc. Transl. (2) 104, 1976)
  11. Conservation laws of Hydrodynamics, Soviet Physics Dokl. 18, 1973
  12. Conservation laws in Continuum Mechanics, Proc. Int. Symp. ``Symmetry, Similarity and Group Theoretic Methods in Mechanics'', ed. P.G. Glockner and M.C. Singh, Univ. of Calgary, Calgary, 1974
  13. Groups of Lie-Bäcklund contact transformations, Dokl. Akad. Nauk SSSR, 1975 (with R.L. Anderson)
  14. Lie-Bäcklund groups and conservation laws, Soviet Math. Dokl. 17, n.5, 1976
  15. Applications of Transformations Groups to Differential Equations, Lecture notes, Georgia Tech, Atlanta, 1977
  16. Lie-Bäcklund tangent transformations, J. Math. Anal. Appl. 59, n.1, 1977 (with R.L. Anderson)
  17. On the Cauchy problem for the equation , Math. USSR Sbornik 31, n.3, 1977
  18. Group theoretical nature of conservation theorems, Lett. Math. Phys. 1, 1977
  19. Utilization of symmetry groups in computation, Proc. Int. Symp. ``Group Theoretic Methods in Mechanics'', Novosibirsk, 1978 (with W.F. Ames)
  20. Bianchi-Lie, Bäcklund and Lie-Bäcklund transformations, Proc. Int. Symp. ``Group Theoretic Methods in Mechanics'', Novosibirsk, 1978 (with R.L. Anderson)
  21. Failure of a correlation between symmetry properties and Huygens principle, Proc. Int. Symp. ``Group Theoretic Methods in Mechanics'', Novosibirsk, 1978
  22. The Noether identity, Continuum Dynamics 38, Novosibirsk, 1979
  23. On the theory of Lie-Bäcklund transformation groups, Math. Sbornik 109, n.2, 1979
  24. Korteweg-de Vries equations from group-theoretic point of view, Soviet Phys. Dokl. 24, n.1, 1979 (with A.B. Shabat)
  25. Lie-Bäcklund algebras of nonlinear differential equations, Uspekhi Mat. Nauk 34, n.4, 1979 (with A.V. Zhiber and A.B. Shabat)
  26. Equations of Liouville type, Soviet Math. Dokl. 20, n.6, 1979 (with A.V. Zhiber and A.B. Shabat)
  27. Group-theoretic approach to nonlinear evolution equations, Study Group on Solitons, Partial Differential Equations and Spectral Methods, Lecture Notes, Trieste, 1979
  28. Evolutions equations with a nontrivial Lie-Bäcklund group, Functional Anal. Appl. 14, n.1, 1980 (with A.B. Shabat)
  29. Infinite Lie-Bäcklund algebras, Functional Anal. Appl. 14, n.4, 1980 (with A.B. Shabat)
  30. L-A pairs and infinity of L-B groups and integrals for nonlinear evolution equations, Workshop on Nonlinear Evolution Equations and Dynamical Systems, Lecture Notes, Chania, Crete, 1980
  31. Sur l'équivalence des équations d'évolution, qui admettent une algèbre de Lie-Bäcklund infinie, C.R. Acad. Sci. Paris, Sér I, 293, 1981
  32. Group classifications of filtration equations, Dokl. Akad. Nauk SSSR, 1987 (with I.Sh. Akhatov and R.K. Gazizov)
  33. Approximate symmetries of differential equations with a small parameter, Preprint, Keldysh Inst. of Appl. Math., 1987 (with V.A. Baikov and R.K. Gazizov)
  34. Bäcklund transformations and nonlocal symmetries, Soviet Math. Dokl. 36, n.3, 1988 (with I.Sh. Akhatov and R.K. Gazizov)
  35. Nonlocal symmetries. Heuristic approach, Mod. Probl. Math. 34, VINITI, Moscow, 1989 (with I.Sh. Akhatov and R.K. Gazizov) (English transl: J. of Soviet Math. 55, n.1, 1991)
  36. Nonlocal symmetries of equations of Mathematical Physics, in: Problems of Mathematical Physics, Nauka, Moscow, 1989 (with I.Sh. Akhatov and R.K. Gazizov)
  37. Thirteen basic types of gas-dynamics equations, in: Mathematical Modeling, Nauka, Moscow, 1989 (with I.Sh. Akhatov and R.K. Gazizov)
  38. Approximate group analysis of nonlinear wave equations, Differential equations, 1988 (with V.A. Baikov and R.K. Gazizov)
  39. Dynamics in the de Sitter Universe: Approximate representation of the de Sitter group, Preprint, Keldysh Inst. of Appl. Math., 1988
  40. Approximate symmetries, Math. Sbornik 136, n.4, 1988 (with
      V.A. Baikov and R.K. Gazizov) (English transl.: Math. USSR
      Sbornik 64, n.2, 1989)
  41. Approximate groups, Mod. Probl. Math. 34, VINITI, Moscow, 1989 (with V.A. Baikov and R.K. Gazizov) (English transl.: J. of Soviet Math. 55, n.1, 1991)
  42. Relationships between the symmetry properties of the equations of gas kinetics and hydrodynamics, J. Mathematical Modeling, vol. 1, n.3, 1989 (with A.V. Bobylev). (English transl. in Mathematical Modeling and Computational Experiment, 1(3), 1993).
  43. Approximate symmetries and conservation laws, Proc. V.A. Steklov Institute of Mathematics, v. 200, Nauka, Moscow, 1991
  44. Hierarchy of Huygens's equations in spaces with a nontrivial conformal group, Soviet Math. Surveys, 46, n.3, 1991 (with A.O. Oganesyan)
  45. Preliminary group classification of equations , J. Math. Phys. 32, n.11, 1991 (with M. Torrisi and A. Valenti)
  46. Simple method for the group analysis with applications in Detonation, J. Math. Phys. 33, n.11, 1992 (with M. Torrisi)
  47. Group analysis of ordinary differential equations and the Invariance Principle in Mathematical Physics, Soviet Math. Surveys, vol. 47, n.4, 1992
  48. Linearization of ordinary differential equations, in Differential Equations and Nonlinear Problems of Mathematical Physics, Academic Press, New York, 1993
  49. Group theoretic treatment of fundamental solutions, Proceedings of the Conference on Analysis, Manifolds and Physics, in honour of
      Y. Choquet-Bruhat, Paris, 1992. Published by Kluwer Academic Press, Dordrecht, 1994
  50. Equivalence groups for balance equations, J. Math. Anal. Appl., 184(3), 441-452, 1994 (with M. Torrisi).
  51. Lie group analysis of differential equations: A mosaic of results and open problems, in Proc. of Sophus Lie Memorial Conference, Oslo, August 17-21, 1992, Published by Scandinavian University Press, Oslo, 1994, O.A.Laudal and B. Jahren, eds.
  52. Conformal invariance, Huygens principle and fundamental solutions for scalar second order hyperbolic equations, Proceedings of the Int. Workshop on Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics, Acireale (Catania), Italy, October 27-31, 1992, Kluwer Academic Publishers, Dordrecht, 1993 (with Yu.Yu. Berest and A.O. Oganesyan).
  53. Sophus Lie and harmony in mathematical physics, on the 150th anniversary of his birth, The Mathematical Intelligencer, vol.16, n.1, 1994
  54. Approximate Lie algebras and multy-parameter approximate groups, Differential equations, vol.29, n.10, 1993 (with V. A. Baikov and R. K. Gazizov)
  55. Seven miniatures in group analysis, Differential equations, vol.29, n. 10, 1993
  56. Vessiot-Guldberg-Lie algebra and its application in solving nonlinear differential equations, Proc. 11th National conference Lie group analysis of differential equations, Samara, Russia, June 1993.
  57. Invariants of Lie-Bäcklund transformation groups generated by formal power series, Lie Groups and Their Applications, vol. 1, n. 1, 1994 (with R.L. Anderson)
  58. Small effects in physics hinted by the Lie group philosophy: Are they observable? I. From Galilean principle to heat diffusion, Lie Groups and Their Applications, vol. 1, n. 1, 1994
  59. Group theoretic determination of fundamental solutions, Lie Groups and Their Applications, vol. 1, n. 2, 1994 (with Yu.Yu. Berest)
  60. Integration of third-order ordinary differential equations by Lie's
      method: Equations admitting three-dimensional Lie algebras, Lie Groups and Their Applications, vol. 1, n. 2, 1994 (with M.C. Nucci)
  61. Equivalence transformations of Navier-Stokes equations, Bulletin of the Technical University of Istanbul, vol. 47, n. 1-2, 1994 (with G. Ünal)
  62. Lie groups in turbulence: Kolmogorov's invariant and the algebra , Lie Groups and Their Applications, vol. 1, n. 2, 1994 (with G. Ünal)
  63. Closed orbits and their stable symmetries, J. Math. Phys., vol. 35, n. 12, 1994 (with V.A. Baikov, R.K. Gazizov, and F.M. Mahomed)
  64. Approximate equivalence transformations, Differential Equations, vol. 30, n. 10, 1994 (with V.A. Baikov and R.K. Gazizov)
  65. The problem of invariants for Lie-Bäcklund groups, in: Modern Group Theoretical Methods in Physics, Proc. of the conference in honour of Guy Rideau, Kluwer Academic Publishers, Dordrecht, 1995, pp. 1-14 (with R.L. Anderson)
  66. Semi-scalar representations of the Lorentz group, and propagation equations, J. Physics A, vol. 28, 1995, 4083-4087 (with R. Maartens)
  67. Group analysis of soil water equations, in: CRC Handbook of Lie Group Analysis of Differential Equations. Vol.2: Applications in Engineering and Physical Sciencies, Ed. N.H. Ibragimov, CRC Press, Boca Raton, 1995, pp. 228-237 (with V.A. Baikov, R.K. Gazizov, and V.F. Kovalev)
  68. Galilean principle in thermal diffusion, Symmetri, vol. 2, n. 2, 1995
  69. Lie symmetry analysis of differential equations in finance, Preprint No. 1/96, University of the Witwatersrand, Dept. Computational and Applied Mathematics, Johannesaburg, 1996 (with R.K. Gazizov)
  70. Lie symmety analysis of soil water motion equations, Preprint No. 2/96, University of the Witwatersrand, Dept. Computational and Applied Mathematics, Johannesaburg, 1996 (with V.A. Baikov,
      R.K. Gazizov, and V.F. Kovalev)
  71. Euler-Lagrange, Lie-Bäcklund and Noether operators, Preprint No. 3/96, University of the Witwatersrand, Dept. Computational and Applied Mathematics, Johannesaburg, 1996 (with A.H. Kara and F.M. Mahomed)
• PAPERS IN PREPARATION:
  1. Perturbation methods in group analysis
  2. Lie group analysis of ordinary differential equations
  3. Massive galactic halos and dark matter: Unusual properties of
     neutrinos in the De Sitter universe
  4. Approximate groups: Exponential map
  5. Invariants of equivalence transformations for linear third order ordinary differential equations
  6. New identities connecting the Euler-Lagrange, Lie-Bäcklund and
     Noether operators (with A. Kara and F.M. Mahomed)
  7. Water redistribution in irrigated soil profiles: Invariant solutions of the governing equation (with V.A. Baikov, R.K. Gazizov and V.F. Kovalev)
  8. Group theoretical touch to the Black-Scholes model in stock option pricing: Symmetries, transformations and fundamental solution (with R.K. Gazizov)
  9. Group analysis of differential equations in finance (with R.K. Gazizov)