Publications of Maria Clara Nucci

  1. R. Balli and M.C. Nucci,
    "Sulle rotazioni di un satellite girostatico in orbita circolare",
    Rend. Mat. Univ. Roma 12--VI (1979) pp. 493--500.

  2. M.C. Nucci,
    "Rotation motions of a gyrostatic satellite in a Kepler orbit",
    Z.A.M.M. 60 (1980) pp. 113--114.

  3. M.C. Nucci,
    "Alcune soluzioni esatte in magnetofluidodinamica",
    Rend. Mat. Univ. Roma 2--VII (1982) pp. 67--77.

  4. M.C. Nucci,
    "Alcuni moti non stazionari di un fluido conduttore in un tubo cilindrico di conduttività finita",
    Rend. Mat. Univ. Roma 4--VII (1984) pp. 265--276.

  5. M.C. Nucci,
    "Group analysis for M.H.D. equations",
    Atti Sem. Mat. Fis. Univ. Modena 33--1 (1984) pp. 21--34.

  6. W.F. Ames and M.C. Nucci,
    "Analysis of fluid equations by group methods",
    J. Eng. Math. 20 (1986) pp. 181--187.

  7. C. Rogers and M.C. Nucci,
    "On reciprocal auto-Bäcklund transformations and the Korteweg-de-Vries hierarchy",
    Physica Scripta 33 (1986) pp. 289--292.

  8. C. Rogers, M.C. Nucci, and J.G. Kingston,
    "On reciprocal auto-Bäcklund transformations: application to a new nonlinear hierarchy",
    Il Nuovo Cimento 96B-1 (1986) pp. 55--63.

  9. M.C. Nucci,
    "Group analysis for unsteady axisymmetric incompressible viscous flow (kinematic approach)",
    J. Phys. A: Math. Gen. 20 (1987) pp. 5053--5059.

  10. M.C. Nucci,
    "Pseudopotentials, Lax equations and Bäcklund transformations for non-linear evolution equations",
    J. Phys. A: Math. Gen. 21 (1988) pp.73--79.

  11. M.C. Nucci,
    "Pseudopotentials for nonlinear evolution equations in 2+1 dimensions",
    Int. J. Non-Lin. Mech. 23 (1988) pp. 361--367.

  12. A. Donato and M.C. Nucci,
    "On spherical discontinuity waves in hyperelastic materials subject to a non constant deformation",
    Mechanica 23 (1988) pp. 156--159.

  13. W.F. Ames, A. Donato, and M.C. Nucci,
    "Analysis of the threadline equations", in
    Nonlinear Wave Motion , A. Jeffrey, Ed., Longman, Essex (1989) pp. 1--10.

  14. M.C. Nucci,
    "Pseudopotentials for nonlinear evolution equations in 2+1 dimensions (Tables)", in
    Numerical and Applied Mathematics, IMACS Transactions on Scientific Computing 1988, Vol. 1.1,
    W.F. Ames, Ed., Baltzer, Basel, (1989) pp. 91--96.

  15. M.C. Nucci,
    "Painlevè property and pseudopotentials for nonlinear evolution equations",
    J. Phys. A: Math. Gen. 22 (1989) pp. 2897--2913.

  16. D. Levi, M.C. Nucci, C. Rogers, and P. Winternitz,
    "Group theoretical analysis of a rotating shallow liquid in a rigid container",
    J. Phys. A: Math. Gen. 22 (1989) pp. 4743--4767.

  17. M.C. Nucci,
    "Pseudopotentials and integrability properties of the Burgers' equation",
    Atti Sem. Mat. Fis. Univ. Modena 38 (1990) pp. 313--317.

  18. F. Calogero and M.C. Nucci,
    "Lax pairs galore",
    J. Math. Phys. 32 (1991) pp. 72--74.

  19. M.C. Nucci,
    "Reciprocal auto-Bäcklund transformations via the Möbius group",
    Atti Sem. Mat. Fis. Univ. Modena 40 (1992) pp. 11--24.

  20. M.C. Nucci,
    "Riccati-type pseudopotentials and their applications", in
    Nonlinear Equations in the Applied Science,
    W.F. Ames and C. Rogers, Eds., Academic Press, Boston (1992) pp. 399--436.

  21. M.C. Nucci,
    "Interactive REDUCE programs for calculating classical, non-classical, and approximate symmetries of differential equations", in
    Computational and Applied Mathematics II. Differential Equations,
    W.F. Ames, and P.J. Van der Houwen, Eds., Elsevier, Amsterdam (1992) pp. 345--350.

  22. M.C. Nucci and P.A. Clarkson,
    "The nonclassical method is more general than the direct method for symmetry reductions: an example of the Fitzhugh-Nagumo equation",
    Phys. Lett. A 164 (1992) pp. 49--56.

  23. M.C. Nucci,
    "Symmetries of linear, C-integrable, S-integrable, and non-integrable equations", in
    Nonlinear Evolution Equations and Dynamical Systems. Proceedings NEEDS '91,
    M. Boiti, L. Martina, and F. Pempinelli, Eds., B World Scientific, Singapore (1992) pp. 74--381.

  24. M.C. Nucci,
    "Tales of Gods and Heroes: The nectar of the Gods"
    Notices of the A.M.S. 39 (1992) pp. 427--428.

  25. W.F. Ames and M.C. Nucci,
    "Symmetry analysis for waves in hole enlargement", in
    Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects,
    A. Donato, and F. Oliveri, Eds., Vieweg, Braunschweig (1993) pp. 10--14.

  26. M.C. Nucci,
    "Symmetries and symbolic computation", in
    Differential Equations with Applications to Mathematical Physics,
    W.F. Ames, E.M. Harrell, and J.V. Herod, Eds., Academic Press, Boston (1993) pp. 249--260.

  27. M.C. Nucci,
    "Nonclassical symmetries and Bäcklund transformations"
    J. Math. An. Appl. 178 (1993) pp. 294--300.

  28. M.C. Nucci and W.F. Ames,
    "Classical and nonclassical symmetries of the Helmholtz equation"
    J. Math. An. Appl. 178 (1993) pp. 584--591.

  29. M.C. Nucci,
    "Iterating the nonclassical symmetries method"
    Physica D 78 (1994) pp. 124--134.

  30. N.H. Ibragimov and M.C. Nucci,
    "Integration of third order ordinary differential equations by Lie's method: equations admitting three-dimensional Lie algebras"
    Lie Groups and Their Applications 1 (1994) pp. 49--64.

  31. W.F. Ames, M.C. Nucci, M. Lauter, E. Adams, and D. Straub,
    "Comparison of classical and alternative fluid equations using symmetries methods"
    Z.A.M.M. 75 (1995) pp. 379--388.

  32. M.C. Nucci,
    "Interactive REDUCE programs for calculating Lie point, non-classical, Lie-Bäcklund, and approximate symmetries of differential equations: manual and floppy disk", in
    CRC Handbook of Lie Group Analysis of Differential Equations. Vol. 3
    N.H. Ibragimov, Ed., CRC Press, Boca Raton (1996) pp. 415--481.

  33. M.C. Nucci,
    "The complete Kepler group can be derived by Lie group analysis",
    J. Math. Phys. 37 (1996) pp. 1772--1775.

  34. F. Allassia and M.C. Nucci,
    "Symmetries and heir equations for the laminar boundary layer model"
    J. Math. An. Appl. 201 (1996) pp. 911--942.

  35. M.C. Nucci,
    "Iterations of the nonclassical symmetries and conditional Lie-Bäcklund symmetries",
    J. Phys. A: Math. Gen. 29 (1996) pp. 8117--8122.

  36. M.C. Nucci,
    "The role of symmetries in solving differential equations",
    Mathl. Comput. Modelling 25 (1997) pp. 181--193.

  37. L. Gammaitoni and M.C. Nucci,
    "Using Maple to analyze a model for airborne contagion"
    MapleTech 4 (1997) pp. 2--5.

  38. L. Gammaitoni and M.C. Nucci,
    "Evaluation of the efficacy of TB control measures using a mathematical model"
    Emerging Infectious Diseases 3 (1997) pp.335--342.

  39. M.C. Nucci and P.G.L. Leach,
    "The determination of nonlocal symmetries by the technique of reduction of order"
    J. Math. Anal. Appl. 251 (2000) pp. 871--884.

  40. M.C. Nucci and P.G.L. Leach,
    "The harmony in the Kepler and related problems"
    J. Math. Phys. 42 (2001) pp. 746--764. view

  41. V. Torrisi and M.C. Nucci,
    "Application of Lie group analysis to a mathematical model which describes HIV transmission"
    in "The Geometrical Study of Differential Equations" (J.A. Leslie and T.P. Hobart, Eds.), A.M.S., Providence (2001) pp.11-20

  42. P.G.L. Leach, M.C. Nucci and S. Cotsakis
    "Symmetry, singularities and integrability in complex dynamics V: Complete symmetry groups of certain relativistic spherically symmetric systems"
    J. Nonlinear Math. Phys. 8 (2001) pp. 475--490

  43. L. Rosati, M.C. Nucci, F. Mezzanotte,
    "Edizione italiana e rilettura dei FUNDAMENTA NOVA di K.G.J. Jacobi a 150 anni dalla morte (18 Febbraio 1851-18 Febbraio 2001)"
    (2001) Rapporto Tecnico n. 2001-4

  44. M.C. Nucci and P.G.L. Leach,
    "Symmetry analysis of and first integrals for the continuum Heisenberg spin chain"
    ANZIAM J. 44 (2002) pp. 61--72

  45. T. Cerquetelli, N. Ciccoli, M.C. Nucci,
    "Four dimensional Lie symmetry algebras and fourth order ordinary differential equations"
    J. Nonlinear Math. Phys. 9-s2 pp. 24-35 (2002) view

  46. M.C. Nucci and P.G.L. Leach,
    "Jacobi's last multiplier and the complete symmetry group of the Euler-Poinsot system"
    J. Nonlinear Math. Phys. 9 pp. 110-121 (2002) view

  47. M.C. Nucci,
    "Nonclassical symmetries as special solutions of heir-equations"
    J. Math. Anal. Appl. 279 pp. 168-179 (2003) view

  48. M. Marcelli and M.C. Nucci,
    "Lie point symmetries and first integrals: the Kowalevsky top"
    J. Math. Phys. 44 pp. 2111-2132 (2003)

  49. P.G.L. Leach, K. Andriopoulos, M.C. Nucci,
    "The Ermanno-Bernoulli constants and representations of the complete symmetry group of the Kepler Problem"
    J. Math. Phys. 44 pp. 4090-4106 (2003)

  50. M.C. Nucci,
    "Lorenz integrable system moves a` la Poinsot"
    J. Math. Phys. 44 pp. 4107-4118 (2003)

  51. K. Andriopoulos, P.G.L. Leach, M.C. Nucci,
    "The ladder problem: Painleve' integrability and explicit solution"
    J. Phys. A: Math. Gen. 36 pp. 11257-11265 (2003)

  52. M.C. Nucci and P.G.L. Leach,
    "An integrable S-I-S model"
    J. Math. Anal. Appl. 290 pp. 506-518 (2004)

  53. M.C. Nucci and P.G.L. Leach,
    "Jacobi's last multiplier and symmetries for the Kepler problem plus a lineal story"
    J. Phys. A: Math. Gen. 37 pp. 7743-7753 (2004)

  54. P.G.L. Leach and M.C. Nucci,
    "Reduction of the classical MICZ-Kepler problem to a two-dimensional linear isotropic harmonic oscillator"
    J. Math. Phys. 45 pp. 3590-3604 (2004)

  55. M.C. Nucci,
    "Calogero's "goldfish" is indeed a school of free particles"
    J. Phys. A: Math. Gen. 37 pp. 11391-11400 (2004)

  56. M.C. Nucci,
    "Using Lie symmetries in epidemiology"
    Electron. J. Diff. Eqns. Conference 12 pp. 87-101 (2004)

  57. M. Busso, M.C. Nucci, A. Chieffi, O. Straniero,
    "Can extended mixing in red giants be attributed to magnetic mechanism?"
    Mem. S.A. It. 75 pp. 648-653 (2004)

  58. M.C. Nucci,
    "Jacobi's three-body system moves like a free particle"
    J. Nonlinear Math. Phys. 12-s1 pp. 499-506 (2005)

  59. L. Rosati and M.C. Nucci,
    "A Lie symmetry connection between Jacobi modular differential equation and Schwarzian differential equation"
    J. Nonlinear Math. Phys. 12 pp. 144-161 (2005)

  60. M.C. Nucci,
    "Jacobi last multiplier and Lie symmetries: a novel application of an old relationship"
    J. Nonlinear Math. Phys. 12 pp. 284-304 (2005)

  61. M.C. Nucci and P.G.L. Leach,
    "Jacobi's last multiplier and the complete symmetry group of the Ermakov-Pinney equation"
    J. Nonlinear Math. Phys. 12 pp. 305-320 (2005)

  62. M.C. Nucci,
    "Let's Lie: a miraculous haul of fishes"
    Theor. Math. Phys. 144 pp. 1214-1222 (2005)

  63. P.G.L. Leach, A. Karasu, M.C. Nucci, K. Andriopoulos,
    Ermakov's superintegrable toy and nonlocal symmetries
    SIGMA 1-018 (2005)

  64. M. Busso, A. Calandra, M.C. Nucci,
    "Buoyant magnetic flux tubes as a site for 26AI production in AGB stars"
    Mem. S.A. It. 77 pp. 798-803 (2006)

  65. M.C. Nucci, P.G.L. Leach, K. Andriopoulos,
    "Lie symmetries, quantisation and c-isochronous nonlinear oscillators"
    J. Math. Anal. Appl. 319 pp. 357-368 (2006)

  66. M. Edwards and M.C. Nucci,
    "Application of Lie group analysis to a core group model for sexually transmitted diseases"
    J. Nonlinear Math. Phys. 13 pp. 211-230 (2006)

  67. M.C. Nucci and P.G.L. Leach,
    "Fuchs' solution of Painleve' VI equation by means of Jacobi last multiplier"
    J. Math. Phys. 48 013514 (2007)

  68. A. Gradassi and M.C. Nucci,
    "Hidden linearity in systems for competition with evolution in ecology and finance"
    J. Math. Anal. Appl. 333 pp. 274-294 (2007)

  69. M.C. Nucci and P.G.L. Leach,
    "Lie integrable cases of the simplified multistrain/two-stream model for Tuberculosis and Dengue fever"
    J. Math. Anal. Appl. 333 pp. 430-449 (2007)

  70. M.C. Nucci,
    "Jacobi last multiplier, Lie symmetries, and hidden linearity: "goldfishes" galore"
    Theor. Math. Phys. 151 pp. 851-862 (2007)

  71. M.C. Nucci and P.G.L. Leach,
    "Lagrangians galore",
    J. Math. Phys. 48 123510 (2007) arXiv:0706.1008v1 [nlin.SI]

  72. M.C. Nucci and P.G.L. Leach,
    "Singularity and symmetry analyses of mathematical models of epidemics"
    South African J. Sci. pp. (2007)

  73. M.C. Nucci and P.G.L. Leach,
    "Singularity Analysis and Integrability of a simplified multistrain model for the transmission of Tuberculosis and Dengue fever"
    J. Nonlinear Math. Phys. 15 pp. 22-34 (2008)

  74. M.C. Nucci,
    "Lie symmetries of a Painleve'-type equation without Lie symmetries"
    J. Nonlinear Math. Phys. 15 pp. (2008)

  75. M.C. Nucci and P.G.L. Leach,
    "Gauge variant symmetries for the Schrodinger equation"
    Il Nuovo Cimento B pp. (2008) arXiv:0709.3389v1 [nlin.SI]

  76. M.C. Nucci and P.G.L. Leach,
    "Much ado about 248",
    arXiv:0704.0096v1 [nlin.SI] (2007) submitted

  77. M.C. Nucci and P.G.L. Leach,
    "Jacobi's last multiplier and Lagrangians for multi-dimensional systems"
    arXiv:0709.3231v1 [nlin.SI] (2007) submitted

  78. S. Martini, N. Ciccoli and M.C. Nucci,
    "Group analysis and heir-equations of a mathematical model for thin liquid films"
    (2007) submitted

  79. M.C. Nucci and P.G.L. Leach,
    "An old method of Jacobi to find Lagrangians"
    (2008) in preparation

  80. M.C. Nucci and A.M. Arthurs,
    "A simple proposal for solving the inverse problem of calculus of variation"
    (2008) in preparation

  81. M.C. Nucci and P.G.L. Leach,
    "The Jacobi Last Multiplier and Applications in Mechanics"
    (2008) in preparation

  82. M.C. Nucci and P.G.L. Leach,
    "Lie groups and quantum mechanics"
    (2008) in preparation

  83. E. Conti and M.C. Nucci,
    "Euler's multipliers and Lie symmetries"
    (2008) in preparation

  84. M.C. Nucci and P.G.L. Leach,
    "Of many Lagrangians, only 1"
    (2008) in preparation

  85. A. Gradassi and M.C. Nucci,
    "Integrability in a variant of the three-species Lotka Volterra model"
    (2008) in preparation