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Journal of Nonlinear Optical Physics and Materials, ISSN 0218-8635, 12/2016, Volume 25, Issue 4
We study shelf-like breathers and dispersive shock phenomena in a discrete nonlinear Schrodinger (DNLS) equation with a nonlocal nonlinearity. The system... 
Discrete NLS | breathers | nonlinear lattices | dispersive shocks | nematic liquid crystals | PHYSICS, APPLIED | SOLITONS | LIQUID-CRYSTALS | LATTICES | OPTICS | PROPAGATION
Journal Article
Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 10/2011, Volume 4, Issue 5, pp. 1227 - 1245
We present results on the continuation of breathers in the discrete cubic nonlinear Schrodinger equation in a finite one-dimensional lattice with Dirichlet... 
Bifurcations | Discrete NLS equations | Breathers | breathers | MATHEMATICS, APPLIED | NONLINEAR SCHRODINGER LATTICES | SOLITONS | bifurcations | STABILITY | DIFFRACTION MANAGEMENT | LOCALIZED MODES
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 04/2012, Volume 241, Issue 8, pp. 847 - 856
Journal Article
Physics Letters A, ISSN 0375-9601, 2010, Volume 374, Issue 38, pp. 3912 - 3919
We study the continuation of breather solutions of the discrete NLS equation as the intersite coupling parameter is varied. Considering the case of a finite... 
PHYSICS, MULTIDISCIPLINARY | NONLINEAR SCHRODINGER-EQUATION | HAMILTONIAN-SYSTEMS | DISCRETE | STABILITY | Linear systems | Stability | Mathematical analysis | Lattices | Solid state physics | Bifurcation theory | Joining | Lattice vibration
Journal Article
European Physical Journal: Special Topics, ISSN 1951-6355, 09/2018, Volume 227, Issue 5-6, pp. 457 - 461
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1140/epjst/e2018-00103-0 
PHYSICS, MULTIDISCIPLINARY | Computer science | Methods
Journal Article
Journal of Nonlinear Optical Physics and Materials, ISSN 0218-8635, 12/2016, Volume 25, Issue 4
We study the evolution of a quantum discrete nonlinear Schrodinger (DNLS) system using as initial conditions coherent states corresponding to points in the... 
Discrete NLS | breathers | quantum DNLS | coherent states | PHYSICS, APPLIED | FIELD | QUANTUM BREATHERS | INSTABILITIES | SELF-TRAPPING EQUATION | MODES | TRIMER | OSCILLATORS | OPTICS
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 11/2016, Volume 225, Issue 13, pp. 2717 - 2727
We compare quantum states obtained from the integration of exact and approximate evolution equations for a quantized discrete nonlinear Schrödinger system... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Classical and Continuum Physics | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | MODES | PHYSICS, MULTIDISCIPLINARY | BIFURCATIONS | DISCRETE | BREATHERS | SPECTRUM | INSTABILITIES | Atoms
Journal Article
Physics Letters A, ISSN 0375-9601, 01/2019, Volume 383, Issue 2-3, pp. 164 - 169
We present a comparison of quantum and “semiclassical” trajectories of coherent states that correspond to classical breather solutions of finite discrete... 
Discrete nonlinear Schrödinger equation | Bosonic quantization | Breather solutions | Localization | Coherent states | MODES | TRIMER | PHYSICS, MULTIDISCIPLINARY | Discrete nonlinear Schrodinger equation | INSTABILITIES
Journal Article
Physics Letters A, ISSN 0375-9601, 2009, Volume 373, Issue 10, pp. 957 - 963
We consider real breather solutions of the discrete cubic nonlinear Schrödinger equation near the limit of vanishing coupling between the lattice sites and... 
PHYSICS, MULTIDISCIPLINARY | NONLINEAR SCHRODINGER LATTICES | SOLITONS
Journal Article
Journal of Nonlinear Optical Physics and Materials, ISSN 0218-8635, 12/2018, Volume 27, Issue 4
The equations governing nonlinear light beam propagation in nematic liquid crystals form a (2 + 1)-dimensional system consisting of a nonlinear... 
variational approximations | nematicons | solitary waves | Nematic liquid crystals | PHYSICS, APPLIED | STABILITY | MODULATIONAL INSTABILITY | ENHANCEMENT | CONFINEMENT | OPTICS | SPATIAL SOLITONS | LINEAR SCHRODINGER-EQUATIONS | PROPAGATION
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 11/2016, Volume 335, pp. 10 - 25
We present results on spatially localized oscillations in some inhomogeneous nonlinear lattices of Fermi–Pasta–Ulam (FPU) type derived from phenomenological... 
Birkhoff normal forms | Breather solutions | Elastic network | FPU lattices | Weakly nonlinear modes | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | HAMILTONIAN-SYSTEMS | COMPUTATION | PHYSICS, MATHEMATICAL
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 02/2014, Volume 268, pp. 106 - 117
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2008, Volume 237, Issue 6, pp. 829 - 839
We consider the question of persistence of breather solutions of the discrete NLS equation under time-periodic perturbations corresponding to small amplitude... 
Hamiltonian systems | Discrete breathers | Nonlinear Schrödinger equations | MATHEMATICS, APPLIED | discrete breathers | SOLITONS | EXCITATION THRESHOLDS | PHYSICS, MULTIDISCIPLINARY | nonlinear Schrodinger equations | BREATHERS | LATTICES | PHYSICS, MATHEMATICAL | EQUATION
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 11/2016, Volume 225, Issue 13, pp. 2407 - 2411
This special issue contains a concise account of significant research results presented at the international workshop on Advanced Computational and... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Classical and Continuum Physics | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | PHYSICS, MULTIDISCIPLINARY | Computer science | Information management | Scientists | Analysis
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 08/2017, Volume 50, Issue 37, p. 375101
We consider a cubic nonlinear wave equation on a network and show that inspecting the normal modes of the graph, we can immediately identify which ones extend... 
graph Laplacian | graph wave equation | nonlinear periodic orbit | DISCRETE BREATHERS | MODES | PHYSICS, MULTIDISCIPLINARY | STABILITY | PHYSICS, MATHEMATICAL | Physics - Pattern Formation and Solitons
Journal Article
Physics Letters A, ISSN 0375-9601, 2006, Volume 349, Issue 6, pp. 430 - 438
We study analytically and numerically localized breather solutions in the averaged discrete nonlinear Schrödinger equation (NLS) with diffraction management, a... 
Variational methods | Discrete breathers | Nonlinear Schrödinger equations | variational methods | HAMILTONIAN NETWORKS | discrete breathers | PULSE DYNAMICS | MODES | EXCITATION THRESHOLDS | PHYSICS, MULTIDISCIPLINARY | nonlinear Schrodinger equations | WEAKLY COUPLED OSCILLATORS | BREATHERS | SYSTEMS | ARRAYS | Waveguides | Analysis
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2005, Volume 206, Issue 3, pp. 213 - 231
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
Physics Letters A, ISSN 0375-9601, 10/2011, Volume 375, Issue 45, pp. 3964 - 3972
We propose and study a type of non-Hamiltonian, power-preserving perturbation of Hamiltonian systems of nonlinear coupled oscillators with a global phase... 
PHYSICS, MULTIDISCIPLINARY | LASERS | ARRAY | Lasers | Analysis | Nonlinear dynamics | Coherence | Perturbation | Arrays | Dynamical systems | Oscillators | Breathers | Coherent light
Journal Article
Nonlinearity, ISSN 0951-7715, 03/2018, Volume 31, Issue 4, pp. 1535 - 1559
We study a 2D system that couples a Schrodinger evolution equation to a nonlinear elliptic equation and models the propagation of a laser beam in a nematic... 
nonlinear Schrodinger equations | nematic liquid crystals | optical solitons | MATHEMATICS, APPLIED | STABILITY | CAUCHY-PROBLEM | PHYSICS, MATHEMATICAL | LINEAR SCHRODINGER-EQUATIONS
Journal Article
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