Global existence and compact attractors for the discrete nonlinear Schrödinger equation NI Karachalios, AN Yannacopoulos
Journal of Differential Equations 217 (1), 88-123, 2005
119 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
95 1999 Global existence and blow-up results for some nonlinear wave equations on { NI Karachalios, NM Stavrakakis
66 2001 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
65 2006 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
47 2017 Convergence towards attractors for a degenerate Ginzburg-Landau equation NI Karachalios, NB Zographopoulos
Zeitschrift für angewandte Mathematik und Physik ZAMP 56, 11-30, 2005
45 2005 Localized excitations in nonlinear complex systems R Carretero-González, J Cuevas-Maraver, D Frantzeskakis, ...
Springer Science & Business Media, 2013
42 2013 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
30 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
28 2002 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
26 2006 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
22 2020 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
20 2005 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
20 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
20 2002 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
19 2013 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
18 2013 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
17 2005 Extreme wave events for a nonlinear Schrödinger equation with linear damping and Gaussian driving G Fotopoulos, DJ Frantzeskakis, NI Karachalios, PG Kevrekidis, ...
Communications in Nonlinear Science and Numerical Simulation 82, 105058, 2020
14 2020 The existence of a global attractor for the discrete nonlinear Schrödinger equation. II. Compactness without tail estimates in, lattices NI Karachalios, AN Yannacopoulos
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 137 (1 …, 2007
14 2007 Asymptotic behavior of solutions of some nonlinearly damped wave equations on N Karachalios, N Stavrakakis
13 2001 