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Pubblicazioni antecedenti il 2004
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.
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 pp. 475--490 (2001)
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)", Rapporto Tecnico n. 2001-4 (2001)
44. M.C. Nucci and P.G.L. Leach, "Symmetry analysis of and first integrals for the continuum Heisenberg spin chain", ANZIAM J. 44 pp. 61--72 (2002)
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)
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)
47. C.Valente , M.C. Nucci, V. Cuteri, M.L. Marenzoni, "Estimating the spread of paratuberculosis within dairy cattle using a deterministic mathematical model", in Atti del 7th International Colloquium on Paratuberculosis (2002)
48. M.C. Nucci, "Nonclassical symmetries as special solutions of heir-equations", J. Math. Anal. Appl. 279 pp. 168-179 (2003)
49. M. Marcelli and M.C. Nucci, "Lie point symmetries and first integrals: the Kowalevsky top", J. Math. Phys. 44 pp. 2111-2132 (2003)
50. 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)
51. M.C. Nucci, "Lorenz integrable system moves a` la Poinsot", J. Math. Phys. 44 pp. 4107-4118 (2003)
52. 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)
53. M.C. Nucci and P.G.L. Leach, "An integrable S-I-S model", J. Math. Anal. Appl. 290 pp. 506-518 (2004)
54. 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)
55. 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)
56. M.C. Nucci, "Calogero's "goldfish" is indeed a school of free particles", J. Phys. A: Math. Gen. 37 pp. 11391-11400 (2004)
57. M.C. Nucci, "Using Lie symmetries in epidemiology", Electron. J. Diff. Eqns. Conference 12 pp. 87-101 (2004)
58. 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)
59. M.C. Nucci, "Jacobi's three-body system moves like a free particle", J. Nonlinear Math. Phys. 12-s1 pp. 499-506 (2005)
60. 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)
61. 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)
62. 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)
63. M.C. Nucci, "Let's Lie: a miraculous haul of fishes", Theor. Math. Phys. 144 pp. 1214-1222 (2005)
64. P.G.L. Leach, A. Karasu, M.C. Nucci, K. Andriopoulos, “Ermakov's superintegrable toy and nonlocal symmetries”, SIGMA 1-018 (2005)
65. 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)
66. 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)
67. 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)
68. 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)
69. 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)
70. 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)
71. M.C. Nucci, "Jacobi last multiplier, Lie symmetries, and hidden linearity: "goldfishes" galore", Theor. Math. Phys. 151 pp. 851-862 (2007)
72. M.C. Nucci and P.G.L. Leach, "Lagrangians galore", J. Math. Phys. 48 123510 (2007)
73. M.C. Nucci and P.G.L. Leach, "Much ado about 248", arXiv:0704.0096v1 [nlin.SI] (2007)
74. 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)
75. M.C. Nucci, "Lie symmetries of a Painleve'-type equation without Lie symmetries", J. Nonlinear Math. Phys. 15 pp. 205-211 (2008)
76. M.C. Nucci and P.G.L. Leach, "Gauge variant symmetries for the Schrodinger equation", Il Nuovo Cimento B 123 pp. 85-93 (2008)
77. M.C. Nucci and P.G.L. Leach, "Jacobi's last multiplier and Lagrangians for multi-dimensional systems", J. Math. Phys. 49, 073517 (2008)
78. M.C. Nucci and P.G.L. Leach, "The Jacobi Last Multiplier and Applications in Mechanics" Phys. Scr. 78, 065011 (2008)
79. S. Martini, N. Ciccoli and M.C. Nucci, "Group analysis and heir-equations of a mathematical model for thin liquid films", J. Nonlinear Math. Phys. 16 pp. 77-92 (2009)
80. M.C. Nucci and P.G.L. Leach, "Singularity and symmetry analyses of mathematical models of epidemics", South African J. Sci. 105 (3-4) pp. 136-146 (2009)
81. M.C. Nucci, "Seeking (and finding) Lagrangians", Theor. Math. Phys. 160 pp. 168-177 (2009)
82. M.C. Nucci and P.G.L. Leach, "The method of Ostrogradsky, quantization, and a move toward a ghost-free future", J. Math. Phys. 50,113508 (2009)
83. G. D'Ambrosi and M.C. Nucci, "Lagrangians for equations of Painlev\'e type by means of Jacobi Last Multiplier" , J. Nonlinear Math. Phys. 16-Suppl. pp. 61-71 (2009)
84. M.C. Nucci and P.G.L. Leach, "An old method of Jacobi to find Lagrangians",J. Nonlinear Math. Phys. 16 pp. 431-441 (2009)
85. M.C. Nucci and P.G.L. Leach, "An algebraic approach to laying a ghost to rest", Phys. Scr. 81, 05500 (2010)
86. M.C. Nucci and A.M. Arthurs, "On the inverse problem of calculus of variations for fourth-order equations", Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 466 pp. 2309-2323 (2010)
87. M.C. Nucci and K.M. Tamizhmani, "Using an old method of Jacobi to derive Lagrangians: a nonlinear dynamical system with variable coefficients", Il Nuovo Cimento B 125 pp. 255-269 (2010)
88. P.G.L. Leach and M.C. Nucci, "Point and counterpoint between Mathematical Physics and Physical Mathematics", J. Phys.: Conf. Ser. 237, 012016 (2010)
89. M.C. Nucci and K.M. Tamizhmani, "Lagrangians for dissipative nonlinear oscillators: the method of Jacobi last multiplier", J. Nonlinear Math. Phys. 17 pp. 167-178 (2010)
90. M.C. Nucci and P.G.L. Leach, "The quantisation of a fourth-order equation without a Lagrangian" , J. Nonlinear Math. Phys. 17 pp. 485-490 (2010)
91. M.C. Nucci and P.G.L. Leach, "Some Lagrangians for Systems without a Lagrangian", Phys. Scripta 83, 035007 (2011)
92. M.C. Nucci, "Many conserved quantities induced by Lie symmetries of a Lagrangian system" , Phys. Lett. A 375 pp. 1375-1377 (2011)
93. M.C. Nucci, "Quantization of classical mechanics: shall we Lie?" , Theor. Math. Phys. 168 pp. 997-1004 (2011)
94. G. Gubbiotti and M.C. Nucci, "Conservation laws for the Schroedinger-Newton equations", J. Nonlinear Math. Phys. 19, 1220002 (2012)
95. M.C. Nucci and K.M. Tamizhmani, "Lagrangians for biological models", J. Nonlinear Math. Phys. 19, 1250021 (2012)
96. M.C. Nucci, "From Lagrangian to Quantum Mechanics with Symmetries", Journal of Physics: Conference Series 380, 012008 (2012)
97. M.C. Nucci and S. Post, "Lie symmetries and superintegrability", J. Phys. A: Math. Theor. 45, 482001 (2012)
98. D. Levi, M.C. Nucci and M.A. Rodriguez, "λ-symmetries for the reduction of continuous and discrete equations", Acta Applicandae Mathematicae 122, pp. 311-321 (2012)
99. M.C. Nucci and D. Levi, "λ-symmetries and Jacobi Last Multiplier", Nonlinear Analysis: Real World Applications 14, pp. 1092-1101 (2013)
100. M.S. Hashemi, M.C. Nucci and S. Abbasbandy, "Group analysis of the modified generalized Vakhnenko equation" , Commun. Nonlinear Sci. Numer. Simulat. 18, pp. 867-877 (2013)
101. M.S. Hashemi and M.C. Nucci, "Nonclassical symmetries for a class of reaction-diffusion equations: the method of heir-equations" , J. Nonlinear Math. Phys. 20, pp. 44-60 (2013)
102. M.C. Nucci and P.G.L. Leach, "Undefined Jacobi last multiplier? Complete symmetry group!" , J. Eng. Math. 82, pp. 59-65 (2013)
103. M.C. Nucci and P.G.L. Leach, "Lie Groups and Quantum Mechanics" , J. Math. Anal. Appl. 406, pp. 219-228 (2013)
104. M.C. Nucci, "Quantizing preserving Noether symmetries", J. Nonlinear Math. Phys. 20, pp. 451-463 (2013)
105. M.C. Nucci, "Symmetries for thought" , Miskolc Math. Notes 14, pp. 461-474 (2013)
106. M.C. Nucci, "Spectral realization of the Riemann zeros by quantizing H=w(x)(p+l^2/p): the Lie-Noether symmetry approach" , Journal of Physics: Conference Series 482, 012032 (2014)
107. G. Gubbiotti and M.C. Nucci, "Noether symmetries and the quantization of a Lienard-type nonlinear oscillator", J. Nonlinear Math. Phys. 21, pp. 248-264 (2014)
108. M.C. Nucci and M. Busso, "Magnetohydrodynamics and deep mixing in evolved stars. I. Two- and three-dimensional analytical models for the asymptotic giant branch", Astrophys. J. 787, 141 (2014)
109. M.C. Nucci and P. G. L. Leach, "Classical integrals as quantum mechanical differential operators: a comparison with the symmetries of the Schroedinger equation", Journal of Physics: Conference Series 538, 012017 (2014)
110. G. Gubbiotti and M.C. Nucci, "Quantization of quadratic Liénard-type equations by preserving Noether symmetries", J. Math. Anal. Appl. 422, pp. 1235-1246 (2015)
111. M.C. Nucci, "What symmetries can do for you", International Journal of Modern Physics: Conference Series 38, 1560076 (2015)
112. M.C. Nucci and G. Sanchini, "Symmetries, Lagrangians and Conservation Laws of an Easter Island Population Model", Symmetry 7, pp. 1613-1632 (2015)
113. O. Trippella, M. Busso, S. Palmerini, E. Maiorca, M.C. Nucci, "s-Processing in AGB Stars Revisited. II. Enhanced 13C Production Through MHD-Induced Mixing", Astrophys J. 818, 125 (2016)
114. M.C. Nucci, "Ubiquitous symmetries" , Theor. Math. Phys. 188, pp. 1361–1370 (2016)
115. M. C. Nucci and G. Sanchini, "Noether Symmetries Quantization and Superintegrability of Biological Models", Symmetry 8, 155 (2016)
116. G. Gubbiotti and M.C. Nucci, "Are all classical superintegrable systems in two-dimensional space linearizable?", J. Math. Phys. 58, 012902 (2017)
117. G. Gubbiotti and M.C. Nucci, "Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries", J. Nonlinear Math. Phys. 23, pp. 356-367 (2017)
118. M. Euler, N. Euler and M.C. Nucci, "On nonlocal symmetries generated by recursion operators: second-order evolution equations", Discrete Contin. Dyn. Syst. 37, pp. 4239-4247 (2017)
119. M.C. Nucci, "The nonlinear pendulum always oscillates", J. Nonlinear Math. Phys. 24, Suppl. 1, pp. 146-156 (2017)
120. M.C. Nucci, "Noether’s landmark paper one hundred years later", IAMP News Bulletin October, pp. 10-27 (2018)
121. L. Matteucci and M.C. Nucci, "Solutions of a mathematical model for the treatment of rheumatoid arthritis", Commun. Appl. Ind. Math. 10, pp. 12-24 (2019)
122. M.C. Nucci, "Heir-equations for partial differential equations: a 25-year review", in Nonlinear Systems and Their Remarkable Mathematical Structures Vol. 2, N. Euler and M.C. Nucci Eds., CRC Press, Boca Raton (2020) pp. 188-205
123. N. Euler and M.C. Nucci (Eds.), "Nonlinear Systems and Their Remarkable Mathematical Structures. Vol. 2", CRC Press, Boca Raton (2020)
124. M.C. Nucci and R. Campoamor-Stursberg, "Three-dimensional maximally superintegrable systems are linearizable", J. Math. Phys. 62, 012702 (2021)
125. M. Euler, N. Euler and M.C. Nucci, ``Ordinary differential equations invariant under two-variable Mőbius transformations", Appl. Math. Lett. 117, 107105 (2021)
126. C. Muriel and M.C. Nucci, ``Generalized symmetries, first integrals, and exact solutions of chains of differential equations", OCNMP 1, pp. 41-56 (2021)
127. G. Gubbiotti and M.C. Nucci, ``Superintegrable systems in non-Euclidean plane: hidden symmetries leading to linearity", J. Math. Phys. 62, 073503 (2021)
128. M. Euler, N. Euler and M.C. Nucci, "On differential equations invariant under two-variable Möbius transformations", OCNMP 1, pp. 173-185 (2022)
129. M.C. Nucci and R. Campoamor-Stursberg, "Minimally superintegrable systems in flat
three-dimensional space are also linearizable", J. Math. Phys. 63, 123510 (2022)
130. M.C. Nucci and N. Sansonetto, Moving energies hide within Noether’s first theorem, J. Phys. A: Math. Theor. 56, 165202 (2023)
