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Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 03/2019, Volume 517, pp. 257 - 269
The transport of energy inside protein α-helices is studied by deriving a system of quantum equations of motion from the Davydov Hamiltonian with the use of... 
Numerical simulation | Quantum dynamics | Davydov soliton | Stability | Protein [formula omitted]-helix | Protein α-helix | POLARON MOTION | PHYSICS, MULTIDISCIPLINARY | ENERGY-TRANSFER | MODEL | SPECTRA | Protein alpha-helix
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 06/2019, Volume 123, pp. 275 - 293
•Protein clamps may provide massive barriers for moving Davydov solitons in α-helices.•Davydov solitons are capable of reflecting from or tunneling through... 
Massive barrier | Protein clamp | Quantum tunneling | Davydov soliton | Protein α-helix | PROTEIN | PHYSICS, MULTIDISCIPLINARY | MECHANISMS | PHYSICS, MATHEMATICAL | Protein alpha-helix | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MOTION | DYNAMICS | DISORDER | GENERATION
Journal Article
Waves in Random and Complex Media, ISSN 1745-5030, 01/2019, Volume 29, Issue 1, pp. 63 - 76
In this paper, a higher-order variable-coefficient nonlinear Schrödinger equation is studied, which describes an inhomogeneous alpha helical protein with... 
DARBOUX TRANSFORMATION | INTEGRABILITY | EXCITATIONS | TUNGSTEN DISULFIDE | PHYSICS, MULTIDISCIPLINARY | DAVYDOV SOLITON | DISCRETE | ENERGY-TRANSFER | DE-VRIES EQUATION | MODEL | COLLISIONS | Proteins | Quadratic equations | Schroedinger equation | Pharmacology | Coefficients | Solitary waves
Journal Article
The European Physical Journal D, ISSN 1434-6060, 6/2015, Volume 69, Issue 6, pp. 1 - 9
Journal Article
The European Physical Journal B, ISSN 1434-6028, 10/2013, Volume 86, Issue 10, pp. 1 - 12
Journal Article
Studies in Applied Mathematics, ISSN 0022-2526, 01/2014, Volume 132, Issue 1, pp. 65 - 80
Three‐coupled discrete nonlinear Schrödinger equations, which describe the dynamics of the three hydrogen bonding spines in the alpha helical proteins with the... 
MATHEMATICS, APPLIED | MOLECULAR-SYSTEMS | TRANSPORT | ENERGY | HIGHER-ORDER | DAVYDOV SOLITON | SYMBOLIC COMPUTATION | SUPERPOSITION FORMULA | MODEL | COMBINATORICS | BACKLUND TRANSFORMATION | Helical
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 09/2018, Volume 32, Issue 26, p. 1850310
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 12/2015, Volume 29, Issue 1-3, pp. 148 - 160
An improvement of the Davydov's model for energy transfer in α-helix protein is proposed. Using hyperbolic cosine potential type to model hydrogen bond... 
Discrete Davydov's soliton | Moving impurity | Hydrogen bond potential | Thermal stability | MATHEMATICS, APPLIED | ENERGY | PHYSICS, FLUIDS & PLASMAS | MECHANISMS | PHYSICS, MATHEMATICAL | CHAIN | TRANSPORT | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | TEMPERATURE | DYNAMICS | ANTIFREEZE | BREATHERS | LOCALIZED MODES
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2014, Volume 396, pp. 29 - 41
Journal Article
PHYSICAL REVIEW E, ISSN 2470-0045, 09/2004, Volume 70, Issue 3, p. 031914
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 05/2017, Volume 346, pp. 20 - 27
The problem of energy transportation along a cubic anharmonic crystal lattice, in the unidirectional long wave limit, is considered. A detailed process, in the... 
Two-humps dark soliton | NLS–KdV system | Dark-gray soliton | Pseudo spectral method | Davydov’s soliton | Davydov's soliton | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | NLS-KdV system | MOLECULAR CHAINS | SYSTEMS | KDV | PHYSICS, MATHEMATICAL | EQUATION
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 12/2015, Volume 29, Issue 1-3, pp. 148 - 160
•New model for energy transport in alpha helix protein.•Discrete nonlinear Schrodinger equation with inverse hyperbolic cosine nonlinearity.•Mobility of... 
Discrete Davydov’s soliton | Moving impurity | Hydrogen bond potential | Thermal stability
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 04/2015, Volume 1656
Conference Proceeding
Mathematical Biosciences, ISSN 0025-5564, 09/2010, Volume 227, Issue 1, pp. 68 - 71
The solitons in α-helix proteins that are governed by the nonlinear Schrödinger's equation is investigated in presence of perturbation terms in this paper. The... 
Davydov solitons | Integrability | α-Helix proteins | Solitons | Exact solution | alpha-Helix proteins | TRANSPORT | FLUCTUATIONS | BIOLOGY | MATHEMATICAL & COMPUTATIONAL BIOLOGY | Algorithms | Vibration | Proteins - chemistry | Protein Structure, Secondary | Nonlinear Dynamics | Molecular Dynamics Simulation
Journal Article
International Journal of Bifurcation and Chaos, ISSN 0218-1274, 06/2011, Volume 21, Issue 6, pp. 1595 - 1600
Soliton-mediated electron pairing (both in real space and in momentum space) is shown to occur in heated one-dimensional (1D) molecular anharmonic systems with... 
electron pairing | electron transport | Morse interaction | anharmonicity | solitons | solectron | STATES | EXCITATIONS | QUANTUM | MULTIDISCIPLINARY SCIENCES | DISSIPATIVE SOLITONS | DAVYDOV MODEL | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | THERMAL SOLITONS | SOLECTRONS | SYSTEMS | CONDUCTION | Bifurcations | Anharmonicity | Crystal lattices | Chaos theory
Journal Article
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