- Singularity analysis and bilinear approach to some Bogoyavlensky equations
A. S. CarsteaJournal of Mathematical Physics, 64, 033504 (2023)
- Nonlinear Schrödinger equation solitons on quantum droplets
A. S. Carstea, A. LuduPhysical Review Research 3 (2021) 033054
- Reaction-diffusion-convection equations in two spatial dimensions; continuous and discrete dynamics
Carstea A. S. Modern Phyics Letters B 35 (2021) 2150186
- Bilinear approach to supersymmetric AKNS system; multiple dressing of fermionic amplitudes
Babalic, Corina N.; Carstea, A. S.Modern Phyics Letters A 35 (2020) 2050143
- ON THE GEOMETRY, INVARIANTS AND SYMMETRIES OF SOME 4D-BIRATIONAL MAPPINGS
Carstea, A. S.REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES
- Space of initial conditions and geometry of two 4-dimensional discrete Painleve equations
Carstea, Adrian Stefan; Takenawa, Tomoyuki JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
- Super-QRT and 4D-mappings reduced from the lattice super-KdV equation
Carstea, A. S.; Takenawa, T.Journal of Mathematical Physics
- Bilinear approach to Kuperschmidt super-KdV type equations
C.N. Babalic, A. S. Carstea JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2018) Volume: 51 Issue: 22 Article Number: 225204
- Coupled Ablowitz-Ladik equations with branched dispersion
C. N. Babalic, A. S. Carstea JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 50 Issue: 41 Article Number: 415201 Published: OCT 13 2017
- Fiber-dependent deautonomization of integrable 2D mappings and discrete Painleve equations
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
- Bilinear approach to the supersymmetric Gardner equation
C. N. Babalic, A. S. CarsteaTHEORETICAL AND MATHEMATICAL PHYSICS 188 (2016) 1172-1180
- STATISTICAL APPROACH OF MODULATION INSTABILITY IN THE CLASS OF NLS EQUATIONS
D. Grecu, A. S. Carstea, A. T. Grecu, A. VisinescuROMANIAN JOURNAL OF PHYSICS 61 (2016) 124-134
- Constructing soliton solutions and super-bilinear form of lattice supersymmetric KdV equation
A. S. Carstea JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 48 Issue: 28 Article Number: 285201 Published: JUL 17 2015
- Coupled discrete KdV equations and modular genetic networks
A. S. Carstea, T. TokihiroJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Volume: 48 Issue: 5 Article Number: 055205 Published: FEB 6 2015
- On some new forms of lattice integrable equations
C. N. Babalic, A. S. CarsteaCENT EUR J PHYS 12 (2014) 36-41
- A note on minimization of rational surfaces obtained from birational dynamical systems
A. S. Carstea, T. TakenawaJOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 20 1 (2013) 17-33
- On the geometry of Q(4) mapping
A. S. CarsteaContemporary Mathematics, Volume: 593 Pages: 231-239 Published: 2013
- On various integrable discretizations of a general two-component Volterra system
C. N. Babalic A. S. CarsteaJournal of Physics A: Mathematical and Theoretical 46 (2013) 145205
- A classification of two dimensional integrable mappings and rational elliptic surfaces
A. S. Carstea, T. TakenawaJournal of Physics A: Mathematical and Theoretical (2012) 45 15 155206
- Bilinear approach to delay-Painleve equartions
A. S. CarsteaJournal of Physics A: Mathematical and Theoretical (2011) 44 105202
- Proteomic signals in modular transcriptional cascades: A discrete time and cellular automaton approach
A.S. Carstea, A.T. Grecu and D. GrecuPhysica D: Nonlinear Phenomena, Vol. 239, Issue 12, 15 June 2010, Pages 967-971
- TIME DELAY EFFECTS ON OSCILLATORY SIGNALS IN GENETIC REPRESSILATORS WITH TWO PROMOTERS
A.S. Carstea, A. T. GrecuROMANIAN REPORTS IN PHYSICS
- Deautonomizing integrable non-QRT mappings
A. S. Carstea, B. Grammaticos, A. RamaniJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 42 Issue: 48 Article Number: 485207 Published: 2009
- Integrable systems related to Su-Schrieffer-Heeger lattices
A. S. CarsteaCHAOS SOLITONS FRACTALS Volume 42 (2009) Issue 2 923-930
- On the non-autonomous form of the Q(4) mapping and its relation to elliptic Painleve equations
Ramani, A; Carstea, AS; Grammaticos, BJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Volume: 42 Issue: 32 Article Number: 322003 Published: 2009
- One Component Spherical Symmetric Model of a Non-Necrotic Tumor Growth
D. Grecu, A. S. Carstea, A. T. Grecu, A. Visinescu Rom. J. Biophysics 19(1), 19-34 (2009)
- Proteomic waves in networks of transcriptional regulators
A. S. CarsteaMATHEMATICS AND COMPUTERS IN SIMULATION 80 (2009) 66-72
- STOCHASTIC ANALYSIS OF NONLINEAR DEGRADATION OF DIMERIC PROTEINS IN GENETIC CIRCUITS
A. S. CarsteaSource: ROMANIAN REPORTS IN PHYSICS 61 (2009) 555-565
- Do All Integrable Equations Satisfy Integrability Criteria?,
B. Grammaticos, A. Ramani, K. M. Tamizhmani, T. Tamizhmani, and A. S. CarsteaAdvances in Difference Equations Volume 2008 (2008), Article ID 317520, 16 pages
- Proteomic signals in simple transcriptional cascades
A.S. Carstea, A. Ramani, K.M. Tamizhmani and B. GrammaticosChaos Solitons and Fractals in press doi:10.1016/j.chaos.2008.07.030
- Do integrable cellular automata have the confinement property?
B Grammaticos, A Ramani, K M Tamizhmani, T Tamizhmani and A S CarsteaJ. Phys. A: Math. Theor. 40 No 30 (27 July 2007) F725-F735
- Continuous, discrete and ultradiscrete models of an inflammatory response
A.S. Carstea, A. Ramani, J. Satsuma, R. Willox, B. GrammaticosPhysica A: Statistical Mechanics and Applications 364, Pages 276-286 (2006)
- On the dynamics of a gene regulatory network
B Grammaticos, A S Carstea and A RamaniJ. Phys. A: Math. Gen. 39 No 12 (24 March 2006) 2965-2971
- Limits and degeneracies of discrete Painleve equations: a sequel
A. Ramani, R. Willox, B. Grammaticos, A. S. Carstea, J. SatsumaPhysica A, 347, 1-16, (2005)
- Reductions of integrable lattices
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
- Special solutions for Ricci flow equation in 2D using the linearization approach
A. S. Carstea, M. VisinescuModern Physics Letters A 20, 2993, (2005)
- Extending the SIR epidemic model
J. Satsuma, B. Grammaticos, A. Ramani, R. Willox, A. S. Carstea, Physica A, 336, 369-375, (2004).
- Localised and nonlocalised structures in nonlinear lattices with fermions,
A. S. Carstea, D. Grecu, A. VisinescuEurophysics Letters, 67, 531-537, (2004)
- Modelling AIDS epidemic dynamics and treatment with difference equations
K. M. Tamizhmani, A. Ramani, B. Grammaticos, A. S. CarsteaAdvances in Difference Equations, 3, 183-193, (2004)
- Oscillating epidemics; a discrete time model
Ramani, A. S. Carstea, R. Willox, B. GrammaticosPhysica A 333, 278-292, (2004).
- The q-discrete Painleve IV equations and their properties
K. M. Tamizhmani, B. Grammaticos, A. S. Carstea, A. RamaniRegular and Chaotic Dynamics, 9, 13-20, (2004)
- Discrete Painleve II equations, Miura and auto-Bäcklund transformations
A. S. Carstea, A. Ramani, R. Willox, B. GrammaticosJournal of Physics A: Mathematical General 36, 8419-8431, (2003)
- Epidemic models; discrete time and cellular automaton approaches,
R. Willox, B. Grammaticos, A. S. Carstea, A. RamaniPhysica A, 328, 13-22, (2003)
- Bilinear approach to the discrete Painlevé I equations
B. Grammaticos, T. Tamizhmani, A. Ramani, A. S. Carstea, K. M, Tamizhmani,Journal of Physical Society of Japan 71, 443-447, (2002).
- Linearisable supersymmetric equations
A. S. Carstea, A. Ramani, B. GrammaticosChaos, Solitons and Fractals 14, 155-158, (2002).
- On the autonomous limit of discrete Painleve equations
A. Ramani, A. S. Carstea, B. Grammaticos, Y. OhtaPhysica A, 305, 437-444, (2002).
- Solitonic model for energy transport in quasi 1D biological systems
A. Visinescu. D. Grecu, A. S. CarsteaRoumanian Journal of Physics, 47, 509-518, (2002)
- Beyond nonlinear Schrodinger equation approximation for an anhramonic chain with long range interaction potentials
D. Grecu, A. S. Carstea, A. Visinescu Journal of Nonlinear Mathematical Physics, 8, 139-144, (2001)
- Bilinear approach to supersymmetric KdV equation
A. S. CarsteaJournal of Nonlinear Mathematical Physics Supplement 8, 48-52, (2001)
- Bilinearisation and soliton solution of the N=1 supersymmetric Sine-Gordon equation
B. Grammaticos, A. Ramani, A. S. CarsteaJournal of Physics A: Mathematical and General,34, 4881-4886, (2001).
- Construction of the soliton solution for the N=1 supersymmetric KdV hierarchy
A. S. Carstea, A. Ramani, B. GrammaticosNonlinearity, 14, 1419-1423, (2001).
- Fermionic extension of the Painleve equations
A. Ramani, A. S. Carstea, B. GrammaticosPhysics Letters A, 292, 115-119, (2001).
- Integrable third order mappings and their growth properties
S. Lafortune, A. S. Carstea, A. Ramani, B. Grammaticos, Y. Ohta, Regular and Chaotic Dynamics, 6, 443-448, (2001).
- Extension of the bilinear formalism to supersymmetric KdV-type equations,
A.S.CarsteaNonlinearity, 13, 1645-1656, (2000).
- Multiple Scales and Bilinear Approach for 1D nonlocal nonlinear lattices
A. S. Carstea, D. Grecu, A. VisinescuRoumanian Journal of Physics, 45, 301-307, (2000)
- Solitonic excitations in biological one dimensional molecular systems,
D. Grecu, A. Visinescu, A. S. CarsteaStudia Univ. Babes-Boylai, 129-135, (2000)
- Weakly localised and supersymmetric structures in nonlinear evolution equations,
A. S. Carstea Roumanian Journal of Physics, 45, 3-4, (2000)
- Rational and quasiperiodic processes in 1D general Volterra systems
J. Zagrodzinski, A. S. Carstea,Theoretical, Mathematical and Computational Physics, (Univ. Timisoara) 1, 63-65, (1999)
- Exact solutions of KdV+mKdV+ Benjamin-Ono equation,
A. S. Carstea, D. Grecu, A. Visinescu,Physics Letters A, 296, 82-86, (1998).
- On the dynamics of rational solutions for 1D Volterra systems,
A.S.CarsteaPhysics Letters A 233, 378-382, (1997).
- On a class of rational and mixed rational-soliton solutions for Toda lattice
A. S. Carstea, D. Grecu, Progress of Theoretical Physics, 96, 29-36 (1996).