Cited by
Cited by
Global existence and compact attractors for the discrete nonlinear Schrödinger equation
NI Karachalios, AN Yannacopoulos
Journal of Differential Equations 217 (1), 88-123, 2005
Existence of a global attractor for semilinear dissipative wave equations on RN
NI Karachalios, NM Stavrakakis
journal of differential equations 157 (1), 183-205, 1999
Global existence and blow-up results for some nonlinear wave equations on {}
NI Karachalios, NM Stavrakakis
On the dynamics of a degenerate parabolic equation: global bifurcation of stationary states and convergence
NI Karachalios, NB Zographopoulos
Calculus of Variations and Partial Differential Equations 25, 361-393, 2006
Convergence towards attractors for a degenerate Ginzburg-Landau equation
NI Karachalios, NB Zographopoulos
Zeitschrift für angewandte Mathematik und Physik ZAMP 56, 11-30, 2005
Localized excitations in nonlinear complex systems
R Carretero-González, J Cuevas-Maraver, D Frantzeskakis, ...
Springer Science & Business Media, 2013
Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves
J Cuevas-Maraver, PG Kevrekidis, DJ Frantzeskakis, NI Karachalios, ...
Physical Review E 96 (1), 012202, 2017
Thresholds for breather solutions on the Discrete Nonlinear Schr\" odinger Equation with saturable and power nonlinearity
J Cuevas, JC Eilbeck, NI Karachalios
arXiv preprint nlin/0609023, 2006
A remark on the existence of breather solutions for the discrete nonlinear Schrödinger equation in infinite lattices: the case of site-dependent anharmonic parameters
NI Karachalios
Proceedings of the Edinburgh Mathematical Society 49 (1), 115-129, 2006
Estimates on the dimension of a global attractor for a semilinear dissipative wave equation on R^ N
NI Karachalios, NM Stavrakakis
Discrete and Continuous Dynamical Systems 8 (4), 939-952, 2002
Asymptotic behavior of solutions of complex discrete evolution equations: the discrete Ginzburg-Landau equation
NI Karachalios, HE Nistazakis, AN Yannacopoulos
arXiv preprint math/0503297, 2005
Escape dynamics in the discrete repulsive ϕ4 model
V Achilleos, A Álvarez, J Cuevas, DJ Frantzeskakis, NI Karachalios, ...
Physica D: Nonlinear Phenomena 244 (1), 1-24, 2013
Parametric exponential energy decay for dissipative electron-ion plasma waves
NI Karachalios, NM Stavrakakis, P Xanthopoulos
Zeitschrift für angewandte Mathematik und Physik ZAMP 56 (2), 218-238, 2005
Global attractor for the weakly damped driven Schrödinger equation in
NI Karachalios, NM Stavrakakis
Nonlinear Differential Equations and Applications NoDEA 9 (3), 347-360, 2002
Kuznetsov–Ma breather-like solutions in the Salerno model
J Sullivan, EG Charalampidis, J Cuevas-Maraver, PG Kevrekidis, ...
The European Physical Journal Plus 135 (7), 1-12, 2020
Global attractors and convergence to equilibrium for degenerate Ginzburg–Landau and parabolic equations
NI Karachalios, NB Zographopoulos
Nonlinear Analysis: Theory, Methods & Applications 63 (5-7), e1749-e1768, 2005
Asymptotic behavior of solutions of some nonlinearly damped wave equations on
N Karachalios, N Stavrakakis
Conservation laws, exact traveling waves and modulation instability for an extended nonlinear Schrödinger equation
V Achilleos, S Diamantidis, DJ Frantzeskakis, NI Karachalios, ...
Journal of Physics A: Mathematical and Theoretical 48 (35), 355205, 2015
Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping
NI Karachalios, B Sánchez-Rey, PG Kevrekidis, J Cuevas
Journal of nonlinear science 23, 205-239, 2013
Dynamical playground of a higher-order cubic Ginzburg-Landau equation: From orbital connections and limit cycles to invariant tori and the onset of chaos
V Achilleos, AR Bishop, S Diamantidis, DJ Frantzeskakis, TP Horikis, ...
Physical Review E 94 (1), 012210, 2016
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