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62

Scientific Articles

12

Conferences

6

Books

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Patents

  1. Nonlinear non-autonomous Boussinesq equations
    2. A. Ludu, H. Khanal, A. S. Carstea

    Electronic Journal of differential equations, 27 (2024), pp. 27-47.

  2. Singularity analysis and bilinear approach to some Bogoyavlensky equations
    3. A. S. Carstea

    Journal of Mathematical Physics, 64, 033504 (2023)

  3. Nonlinear Schrödinger equation solitons on quantum droplets
    4. A. S. Carstea, A. Ludu

    Physical Review Research 3 (2021) 033054

  4. Reaction-diffusion-convection equations in two spatial dimensions; continuous and discrete dynamics
    5. Carstea A. S.

    Modern Phyics Letters B 35 (2021) 2150186

  5. Bilinear approach to supersymmetric AKNS system; multiple dressing of fermionic amplitudes
    6. Babalic, Corina N.; Carstea, A. S.

    Modern Phyics Letters A 35 (2020) 2050143

  6. ON THE GEOMETRY, INVARIANTS AND SYMMETRIES OF SOME 4D-BIRATIONAL MAPPINGS
    7. Carstea, A. S.

    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES

  7. Space of initial conditions and geometry of two 4-dimensional discrete Painleve equations
    8. Carstea, Adrian Stefan; Takenawa, Tomoyuki

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

  8. Super-QRT and 4D-mappings reduced from the lattice super-KdV equation
    9. Carstea, A. S.; Takenawa, T.

    Journal of Mathematical Physics

  9. Bilinear approach to Kuperschmidt super-KdV type equations
    10. C.N. Babalic, A. S. Carstea

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2018) Volume: 51 Issue: 22 Article Number: 225204

  10. Coupled Ablowitz-Ladik equations with branched dispersion
    11. C. N. Babalic, A. S. Carstea

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 50 Issue: 41 Article Number: 415201 Published: OCT 13 2017

  11. Fiber-dependent deautonomization of integrable 2D mappings and discrete Painleve equations
    12. A. S. Carstea, T. Takenawa, A. Dzhamay

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 50 Issue: 40 Article Number: 405202 Published: OCT 6 2017

  12. Bilinear approach to the supersymmetric Gardner equation
    13. C. N. Babalic, A. S. Carstea

    THEORETICAL AND MATHEMATICAL PHYSICS 188 (2016) 1172-1180

  13. STATISTICAL APPROACH OF MODULATION INSTABILITY IN THE CLASS OF NLS EQUATIONS
    14. D. Grecu, A. S. Carstea, A. T. Grecu, A. Visinescu

    ROMANIAN JOURNAL OF PHYSICS 61 (2016) 124-134

  14. Constructing soliton solutions and super-bilinear form of lattice supersymmetric KdV equation
    15. A. S. Carstea

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 48 Issue: 28 Article Number: 285201 Published: JUL 17 2015

  15. Coupled discrete KdV equations and modular genetic networks
    16. A. S. Carstea, T. Tokihiro

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Volume: 48 Issue: 5 Article Number: 055205 Published: FEB 6 2015

  16. On some new forms of lattice integrable equations
    17. C. N. Babalic, A. S. Carstea

    CENT EUR J PHYS 12 (2014) 36-41

  17. A note on minimization of rational surfaces obtained from birational dynamical systems
    18. A. S. Carstea, T. Takenawa

    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 20 1 (2013) 17-33

  18. On the geometry of Q(4) mapping
    19. A. S. Carstea

    Contemporary Mathematics, Volume: 593 Pages: 231-239 Published: 2013

  19. On various integrable discretizations of a general two-component Volterra system
    20. C. N. Babalic A. S. Carstea

    Journal of Physics A: Mathematical and Theoretical 46 (2013) 145205

  20. A classification of two dimensional integrable mappings and rational elliptic surfaces
    21. A. S. Carstea, T. Takenawa

    Journal of Physics A: Mathematical and Theoretical (2012) 45 15 155206

  21. Bilinear approach to delay-Painleve equartions
    22. A. S. Carstea

    Journal of Physics A: Mathematical and Theoretical (2011) 44 105202

  22. Proteomic signals in modular transcriptional cascades: A discrete time and cellular automaton approach
    23. A.S. Carstea, A.T. Grecu and D. Grecu

    Physica D: Nonlinear Phenomena, Vol. 239, Issue 12, 15 June 2010, Pages 967-971

  23. TIME DELAY EFFECTS ON OSCILLATORY SIGNALS IN GENETIC REPRESSILATORS WITH TWO PROMOTERS
    24. A.S. Carstea, A. T. Grecu

    ROMANIAN REPORTS IN PHYSICS

  24. Deautonomizing integrable non-QRT mappings
    25. A. S. Carstea, B. Grammaticos, A. Ramani

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42 Issue: 48 Article Number: 485207 Published: 2009

  25. Integrable systems related to Su-Schrieffer-Heeger lattices
    26. A. S. Carstea

    CHAOS SOLITONS FRACTALS Volume 42 (2009) Issue 2 923-930

  26. On the non-autonomous form of the Q(4) mapping and its relation to elliptic Painleve equations
    27. Ramani, A; Carstea, AS; Grammaticos, B

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 42 Issue: 32 Article Number: 322003 Published: 2009

  27. One Component Spherical Symmetric Model of a Non-Necrotic Tumor Growth
    28. D. Grecu, A. S. Carstea, A. T. Grecu, A. Visinescu

    Rom. J. Biophysics 19(1), 19-34 (2009)

  28. Proteomic waves in networks of transcriptional regulators
    29. A. S. Carstea

    MATHEMATICS AND COMPUTERS IN SIMULATION 80 (2009) 66-72

  29. STOCHASTIC ANALYSIS OF NONLINEAR DEGRADATION OF DIMERIC PROTEINS IN GENETIC CIRCUITS
    30. A. S. Carstea

    Source: ROMANIAN REPORTS IN PHYSICS 61 (2009) 555-565

  30. Do All Integrable Equations Satisfy Integrability Criteria?,
    31. B. Grammaticos, A. Ramani, K. M. Tamizhmani, T. Tamizhmani, and A. S. Carstea

    Advances in Difference Equations Volume 2008 (2008), Article ID 317520, 16 pages

  31. Proteomic signals in simple transcriptional cascades
    32. A.S. Carstea, A. Ramani, K.M. Tamizhmani and B. Grammaticos

    Chaos Solitons and Fractals in press doi:10.1016/j.chaos.2008.07.030

  32. Do integrable cellular automata have the confinement property?
    33. B Grammaticos, A Ramani, K M Tamizhmani, T Tamizhmani and A S Carstea

    J. Phys. A: Math. Theor. 40 No 30 (27 July 2007) F725-F735

  33. Continuous, discrete and ultradiscrete models of an inflammatory response
    34. A.S. Carstea, A. Ramani, J. Satsuma, R. Willox, B. Grammaticos

    Physica A: Statistical Mechanics and Applications 364, Pages 276-286 (2006)

  34. On the dynamics of a gene regulatory network
    35. B Grammaticos, A S Carstea and A Ramani

    J. Phys. A: Math. Gen. 39 No 12 (24 March 2006) 2965-2971

  35. Limits and degeneracies of discrete Painleve equations: a sequel
    36. A. Ramani, R. Willox, B. Grammaticos, A. S. Carstea, J. Satsuma

    Physica A, 347, 1-16, (2005)

  36. Reductions of integrable lattices
    37. Grammaticos B, Ramani A, Satsuma J, Willox R, Carstea AS

    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS Volume: 12 Pages: 363-371 Supplement: Suppl. 1 Published: JAN 2005

  37. Special solutions for Ricci flow equation in 2D using the linearization approach
    38. A. S. Carstea, M. Visinescu

    Modern Physics Letters A 20, 2993, (2005)

  38. Extending the SIR epidemic model
    39. J. Satsuma, B. Grammaticos, A. Ramani, R. Willox, A. S. Carstea,

    Physica A, 336, 369-375, (2004).

  39. Localised and nonlocalised structures in nonlinear lattices with fermions,
    40. A. S. Carstea, D. Grecu, A. Visinescu

    Europhysics Letters, 67, 531-537, (2004)

  40. Modelling AIDS epidemic dynamics and treatment with difference equations
    41. K. M. Tamizhmani, A. Ramani, B. Grammaticos, A. S. Carstea

    Advances in Difference Equations, 3, 183-193, (2004)

  41. Oscillating epidemics; a discrete time model
    42. Ramani, A. S. Carstea, R. Willox, B. Grammaticos

    Physica A 333, 278-292, (2004).

  42. The q-discrete Painleve IV equations and their properties
    43. K. M. Tamizhmani, B. Grammaticos, A. S. Carstea, A. Ramani

    Regular and Chaotic Dynamics, 9, 13-20, (2004)

  43. Discrete Painleve II equations, Miura and auto-Bäcklund transformations
    44. A. S. Carstea, A. Ramani, R. Willox, B. Grammaticos

    Journal of Physics A: Mathematical General 36, 8419-8431, (2003)

  44. Epidemic models; discrete time and cellular automaton approaches,
    45. R. Willox, B. Grammaticos, A. S. Carstea, A. Ramani

    Physica A, 328, 13-22, (2003)

  45. Bilinear approach to the discrete Painlevé I equations
    46. B. Grammaticos, T. Tamizhmani, A. Ramani, A. S. Carstea, K. M, Tamizhmani,

    Journal of Physical Society of Japan 71, 443-447, (2002).

  46. Linearisable supersymmetric equations
    47. A. S. Carstea, A. Ramani, B. Grammaticos

    Chaos, Solitons and Fractals 14, 155-158, (2002).

  47. On the autonomous limit of discrete Painleve equations
    48. A. Ramani, A. S. Carstea, B. Grammaticos, Y. Ohta

    Physica A, 305, 437-444, (2002).

  48. Solitonic model for energy transport in quasi 1D biological systems
    49. A. Visinescu. D. Grecu, A. S. Carstea

    Roumanian Journal of Physics, 47, 509-518, (2002)

  49. Beyond nonlinear Schrodinger equation approximation for an anhramonic chain with long range interaction potentials
    50. D. Grecu, A. S. Carstea, A. Visinescu

    Journal of Nonlinear Mathematical Physics, 8, 139-144, (2001)

  50. Bilinear approach to supersymmetric KdV equation
    51. A. S. Carstea

    Journal of Nonlinear Mathematical Physics Supplement 8, 48-52, (2001)

  51. Bilinearisation and soliton solution of the N=1 supersymmetric Sine-Gordon equation
    52. B. Grammaticos, A. Ramani, A. S. Carstea

    Journal of Physics A: Mathematical and General,34, 4881-4886, (2001).

  52. Construction of the soliton solution for the N=1 supersymmetric KdV hierarchy
    53. A. S. Carstea, A. Ramani, B. Grammaticos

    Nonlinearity, 14, 1419-1423, (2001).

  53. Fermionic extension of the Painleve equations
    54. A. Ramani, A. S. Carstea, B. Grammaticos

    Physics Letters A, 292, 115-119, (2001).

  54. Integrable third order mappings and their growth properties
    55. S. Lafortune, A. S. Carstea, A. Ramani, B. Grammaticos, Y. Ohta,

    Regular and Chaotic Dynamics, 6, 443-448, (2001).

  55. Extension of the bilinear formalism to supersymmetric KdV-type equations,
    56. A.S.Carstea

    Nonlinearity, 13, 1645-1656, (2000).

  56. Multiple Scales and Bilinear Approach for 1D nonlocal nonlinear lattices
    57. A. S. Carstea, D. Grecu, A. Visinescu

    Roumanian Journal of Physics, 45, 301-307, (2000)

  57. Solitonic excitations in biological one dimensional molecular systems,
    58. D. Grecu, A. Visinescu, A. S. Carstea

    Studia Univ. Babes-Boylai, 129-135, (2000)

  58. Weakly localised and supersymmetric structures in nonlinear evolution equations,
    59. A. S. Carstea

    Roumanian Journal of Physics, 45, 3-4, (2000)

  59. Rational and quasiperiodic processes in 1D general Volterra systems
    60. J. Zagrodzinski, A. S. Carstea,

    Theoretical, Mathematical and Computational Physics, (Univ. Timisoara) 1, 63-65, (1999)

  60. Exact solutions of KdV+mKdV+ Benjamin-Ono equation,
    61. A. S. Carstea, D. Grecu, A. Visinescu,

    Physics Letters A, 296, 82-86, (1998).

  61. On the dynamics of rational solutions for 1D Volterra systems,
    62. A.S.Carstea

    Physics Letters A 233, 378-382, (1997).

  62. On a class of rational and mixed rational-soliton solutions for Toda lattice
    63. A. S. Carstea, D. Grecu,

    Progress of Theoretical Physics, 96, 29-36 (1996).

  1. Singularity analysis and bilinear approach to some Bogoyavlensky equations
    2. A. S. Carstea

    Symmetries and Integrabilityy of Difference Equations, SIDE 14.2, Warsaw, 19-23 june 2023 (2023)

  2. Birational dynamics on non-relatively minimal elliptic surfaces for discrete Nahm-type equations
    3. A. S. Carstea

    International Conference on Scientific Computation and Differential Equations, SCICADE 2019, Innsbruck 22-26 iulie 2019 (2019)

  3. Bilinear approach to lattice super-KdV equation and super-QRT mappings
    4. A. S. Carstea

    The Joint Meeting on Quantum Fields and Nonlinear Phenomena, 18-22, april, Sinaia, Romania (2018)

  4. Bilinear form and soliton solutions for Kuperschmidt super - KdV equation
    5. C. N. Babalic, A. S. Carstea

    The Joint Meeting on Quantum Fields and Nonlinear Pheonomena, Sinaia, Roamania, 18-22 april 2018 (2018)

  5. Discrete dynamical systems: how to construct invariants and symmetries.
    6. A. S. Carstea

    The Joint Meeting on Quantum Fields and Nonlinear Phenomena, 9-13 march, Sinaia, Romania, 2016 (2016)

  6. Lattice supersymmetric KdV equation and super-QRT mappings
    7. A. S. Carstea

    Discrete Integrable Systems, Workshop 2016, Sanya, China, 11-15 april (2016)

  7. Minimal rational surfaces and discrete Nahm equations
    8. A. S. Carstea

    Conference on Nonlinear Mathematical Physics: Twenty years of JNMP, Nordfjordeit, Norway, June 4-14, 2013 (2013)

  8. Surface Angiogenesis Effects in Tumor Evolution. Stationary State Analysis of a One-Component
    9. D. Grecu, A. S. Carstea, A. T. Grecu, A. Visinescu

    Proceedings. CSCS-17, IAFA 2009, pag 58 (2009)

  9. Singularity Confinement and algebraic entropy
    10. A. S. Carstea

    Second National Conference on Theoretical Physics, Constanta, Romania, 26-29 august, (2004), (2004)

  10. Bilinear Formalism of Supersymmetric KdV type Equations,
    11. A. S. Carstea

    NEEDS 1999 (1999)

  11. On the dynamics of Rational Solutions for 1-D Volterra System
    12. A. S. Carstea,

    Symmetries and Integrability of Difference Equations SIDE III, 1998, Sabaudia , Italy (1998)

  12. Rational and Mixed rational-soliton solutions of Toda lattice
    13. A. S. Carstea, D. Grecu

    International Conference on Nonlinear Dynamics, Chaotic and Complex Systems, Zakopane, Polonia, 7-11 Noimenbrie 1995 (1995)

  1. Contemporary Mathematics vol.593 (American Mathematical Society) , (2013), 531-539
    2. A. S. Carstea

    2013

  2. Global Analysis and Applied Mathematics, 729, 332-338, American Institute of Physics, (2004), Proceedings of International Workshop on Global Analisys, Ankara, Turkey, 15-17 April, (2004)
    3. D. Grecu, A. Visinescu, A. S. carstea,

    2004

  3. Proceedings of the Symposium "Theory and Application on Nonlinear Wave Phenomena" Kasuga, Fukuoka, Japan, November 14-16, 2001, Reports of RIAM No. 13ME-S4, pag. 36-42, (2002)
    4. A. Ramani, A. S. Carstea, B. Grammaticos,

    2002

  4. Proceedings of the Workshop on "Nonlinearity, Integrability and all that: Twenty years after NEEDS'79, Lecce, Italy, 1-10 july, 1999, Editors M. Boiti et al. World Scientific, 75-81, (2000)
    5. A. S. Carstea

    2000

  5. Proceedings of the Workshop on "Nonlinearity, Integrability and all that: Twenty years after NEEDS’79, Lecce, Italy, 1-10 july, 1999, Editors M. Boiti et al. World Scientific, 82-88, (2000)
    6. . S. Carstea, D. Grecu, A. Visinescu,

    2000

  6. Proceedings of teh Sixth International Conference on "Path Integrals from peV to TeV" 50 years after Feynman's paper, Florence, Italy, 25-29 august 1998, Editors, R. Casalbuoni et al. World Scientific, 399-402, (1999)
    7. D. Grecu, A. S. Carstea, A. Visinescu,

    1999

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