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Chaos, ISSN 1054-1500, 05/2019, Volume 29, Issue 5
The Hirota bilinear method is extended to find one- and two-hump exact bright and dark soliton solutions to a coupled system between the linear Schrödinger and... 
Mathematical analysis | Anharmonicity | Solitary waves | Energy transfer
Journal Article
Physics Letters A, ISSN 0375-9601, 08/2016, Volume 380, Issue 36, pp. 2828 - 2835
We consider the problem of electron transport in a deformable continuum medium subjected to an external harmonic substrate potential. We then consider the... 
Davydov's equations | Gross–Pitaevskii equation | Variational approximation | NLS soliton | On-site interactions | PHYSICS, MULTIDISCIPLINARY | Gross-Pitaevskii equation | Electron transport
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 02/2019, Volume 119, pp. 343 - 354
We consider the problem of electron transport and energy transfer in a one-dimensional molecular chain with non-dipole optical phonon mode. We take into... 
Optical phonons | Soliton | Holstein polaron | Low-dimensional system | Lattice anharmonicity | Variational approach | MECHANISM | PHYSICS, MULTIDISCIPLINARY | QUASI-PARTICLE | PHYSICS, MATHEMATICAL | MOLECULAR CHAIN | POLARON | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ELECTRON-TRANSFER | BOUND-STATES | DYNAMICS | EXCESS ELECTRON | LATTICE
Journal Article
Chaos: An Interdisciplinary Journal of Nonlinear Science, ISSN 1054-1500, 05/2019, Volume 29, Issue 5, p. 053133
The Hirota bilinear method is extended to find one- and two-hump exact bright and dark soliton solutions to a coupled system between the linear Schrödinger and... 
MATHEMATICS, APPLIED | INTEGRABILITY | KDV | PHYSICS, MATHEMATICAL | EQUATION
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
Physics Letters A, ISSN 0375-9601, 03/2018, Volume 382, Issue 12, pp. 837 - 845
We consider the problem of energy transport in a Davydov model along an anharmonic crystal medium obeying quartic longitudinal interactions corresponding to... 
Schrödinger–mKdV system | Variational approach | Solitons | POLARON MOTION | PHYSICS, MULTIDISCIPLINARY | Schrodinger-mKdV system | MOLECULAR CHAINS | LATTICES
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 06/2015, Volume 306, pp. 82 - 93
We consider a one dimensional lattice in which an electron can interact both with on-site non-dispersive (Einstein) phonons and with longitudinal dispersive... 
Non-dispersive phonons | Mobile localized states | Coupled phonon modes | Dispersive phonons | POLARON MOTION | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | DYNAMICS | BIOMOLECULAR SIMULATION | MODEL | PHYSICS, MATHEMATICAL
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 02/2012, Volume 85, Issue 2, p. 021925
We consider the propagation of energy along a protein chain in the Davydov approximation. We study the fully discrete Davydov equations including the... 
ALPHA-HELIX | TEMPERATURE | PHYSICS, FLUIDS & PLASMAS | DYNAMICS | ASYMPTOTICS | PHYSICS, MATHEMATICAL | EQUATION | LIFETIME | Models, Molecular | Hydrogen Bonding | Models, Chemical | Hydrogen - chemistry | Computer Simulation
Journal Article
Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 10/2011, Volume 4, Issue 5, pp. 975 - 994
Supersonic traveling wave solutions to the Morse lattice are conside red. By numerical means, we show that initial shock like initial values always evolve into... 
Super-sonic traveling waves | Modulation averaged Lagrangian | Peierls-Nabarro potential | EXISTENCE | MATHEMATICS, APPLIED | SHOCK-WAVES | CHAIN | MOTION | SOLITARY WAVES | DYNAMICS | EQUATION | TODA LATTICE | PROPAGATION
Journal Article
Springer Series in Materials Science, ISSN 0933-033X, 2015, Volume 221, pp. 129 - 145
Journal Article
Physics Letters A, ISSN 0375-9601, 09/2015, Volume 379, Issue 30-31, pp. 1705 - 1714
We study spatially localized time-periodic solutions of breather type for a cubic discrete NLS equation with a nonlocal nonlinearity that models light... 
MODES | SOLITONS | SOLITARY WAVES | PHYSICS, MULTIDISCIPLINARY | STABILITY | LATTICES | NEMATIC LIQUID-CRYSTALS | PROPAGATION | Waveguides
Journal Article
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