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NIKOLAOS KARACHALIOS
NIKOLAOS KARACHALIOS
Department of Mathematics, University of Thessaly
Bestätigte E-Mail-Adresse bei uth.gr
Titel
Zitiert von
Zitiert von
Jahr
Global existence and compact attractors for the discrete nonlinear Schrödinger equation
NI Karachalios, AN Yannacopoulos
Journal of Differential Equations 217 (1), 88-123, 2005
1142005
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
951999
Global existence and blow-up results for some nonlinear wave equations on {}
NI Karachalios, NM Stavrakakis
672001
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
642006
Convergence towards attractors for a degenerate Ginzburg-Landau equation
NI Karachalios, NB Zographopoulos
Zeitschrift für angewandte Mathematik und Physik ZAMP 56, 11-30, 2005
442005
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
432017
Localized excitations in nonlinear complex systems
R Carretero-González, J Cuevas-Maraver, D Frantzeskakis, ...
Springer Science & Business Media, 2013
412013
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
312006
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
282006
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
282002
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
212005
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
202020
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
202013
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
202005
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
202002
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
162013
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
162005
Asymptotic behavior of solutions of some nonlinearly damped wave equations on
N Karachalios, N Stavrakakis
142001
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
132015
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
122016
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