Translationally invariant nonlinear Schrödinger lattices (original) (raw)

On a class of spatial discretizations of equations of the nonlinear Schrödinger type

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Mathematics and Computers in Simulation, 2007

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Localized and periodic exact solutions to the nonlinear Schrödinger equation with spatially modulated parameters: Linear and nonlinear lattices

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Localized solutions of extended discrete nonlinear Schrödinger equation

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Mobile localization in nonlinear Schrödinger lattices

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Physics Letters A, 2004

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Discrete nonlinear Schrödinger equations free of the Peierls–Nabarro potential

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Physics Letters A, 2006

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Applicable Analysis, 2010

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Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity

F. Palmero

2008

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Exact moving and stationary solutions of a generalized discrete nonlinear Schr�dinger equation

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J Phys a Math Theor, 2007

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Exact Moving Breather Solutions of a Generalized Discrete Nonlinear Schrodinger Equation

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arXiv (Cornell University), 2006

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Discrete nonlinear Schrödinger equations with arbitrarily high-order nonlinearities

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Physical review. E, Statistical, nonlinear, and soft matter physics, 2006

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A Mel'nikov approach to soliton-like solutions of systems of discretized nonlinear Schrödinger equations

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Physica D: Nonlinear Phenomena, 1998

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Travelling waves of forced discrete nonlinear Schrödinger equations

Michal Feckan

Discrete and Continuous Dynamical Systems - Series S, 2010

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Multistable solitons in higher-dimensional cubic–quintic nonlinear Schrödinger lattices

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Physica D: Nonlinear Phenomena, 2009

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Staggered and moving localized modes in dynamical lattices with the cubic-quintic nonlinearity

Boris Malomed, Aleksandra Maluckov

Physical Review E, 2008

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Traveling Waves of Discrete Nonlinear Schrodinger Equations with Nonlocal Interactions

Michal Feckan

Eprint Arxiv 0909 1833, 2009

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Discrete Nonlinear Schrödinger Equations with Time-Dependent Coefficients (Management of Lattice Solitons)

Jesús Cuevas

Springer Tracts in Modern Physics, 2009

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Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity

Dimitri J Frantzeskakis

Physica D: Nonlinear Phenomena, 2009

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Existence of localized solutions in the parametrically driven and damped DNLS equation in high-dimensional lattices

Zhigang Zheng

Physics Letters A, 2005

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Three-Dimensional Solitary Waves and Vortices in a Discrete Nonlinear Schrödinger Lattice

Dimitri J Frantzeskakis

Physical Review Letters, 2004

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Universal character of the discrete nonlinear Schrödinger equation

Gaetano Assanto

Physical Review A, 2007

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Static solutions of a D -dimensional modified nonlinear Schr dinger equation

Bernard Piette

Nonlinearity, 2003

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Two routes to the one-dimensional discrete nonpolynomial Schrödinger equation

G. Gligoric, Aleksandra Maluckov

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2009

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Stability of discrete solitons in nonlinear Schrödinger lattices

Dimitri J Frantzeskakis

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Universal character of the discrete nonlinear Schroedinger equation

Gaetano Assanto

Phys Rev a, 2007

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On classification of intrinsic localized modes for the discrete nonlinear Schrödinger equation

Vladimir V Konotop

Physica D: Nonlinear Phenomena, 2004

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