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Nikos I. Karachalios
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20
Nonlinear lattices from the physics of ecosystems: The Lefever-Lejeune nonlinear lattice in
\mathbb{Z}^2
25 June 2024 by
Nikos Karachalios
and
others
Pattern Formation and Solitons
,
Analysis of PDEs
The discrete nonlinear Schrödinger equation with linear gain and nonlinear loss: the infinite lattice with nonzero boundary conditions and its finite dimensional approximations
26 April 2024 by
Georgios Fotopoulos
and
others
at
University of Thessaly
Mathematical Physics
,
Pattern Formation and Solitons
On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
31 July 2023 by
Dirk Hennig
and
others
Pattern Formation and Solitons
,
Mathematical Physics
Dissipative localised structures for the complex Discrete Ginzburg-Landau equation
4 March 2023 by
Dirk Hennig
and
others
Pattern Formation and Solitons
,
Analysis of PDEs
Periodic and compacton travelling wave solutions of discrete nonlinear Klein-Gordon lattices
13 December 2022 by
Dirk Hennig
and
Nikos Karachalios
Analysis of PDEs
,
Pattern Formation and Solitons
The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrödinger equation
13 December 2021 by
Dirk Hennig
and
others
Pattern Formation and Solitons
Dynamics of nonlocal and local discrete Ginzburg-Landau equations: global attractors and their congruence
19 October 2021 by
Dirk Hennig
and
Nikos Karachalios
Analysis of PDEs
,
Dynamical Systems
Existence of exponentially spatially localised breather solutions for lattices of nonlinearly coupled particles: Schauder's fixed point theorem approach
29 May 2021 by
Dirk Hennig
and
Nikos Karachalios
Analysis of PDEs
,
Pattern Formation and Solitons
The closeness of localised structures between the Ablowitz-Ladik lattice and Discrete Nonlinear Schrödinger equations II: Generalised AL and DNLS systems
10 May 2021 by
Dirk Hennig
and
others
Pattern Formation and Solitons
A mechanism to control and detect rogue waves by plane wave initial conditions: the prototypical example of the damped and periodically driven NLS equation
5 January 2021 by
Sevastos Diamantidis
and
others
Pattern Formation and Solitons
The Lefever-Lejeune nonlinear lattice: convergence dynamics and the structure of equilibrium states
1 July 2019 by
Nikos Karachalios
and
others
Pattern Formation and Solitons
Excitation of Peregrine-type waveforms from vanishing initial conditions in the presence of periodic forcing
6 December 2018 by
Nikos Karachalios
and
others
Pattern Formation and Solitons
Self trapping transition for a nonlinear impurity within a linear chain
12 March 2014 by
Haitian Yue
and
others
Pattern Formation and Solitons
A new sharp estimate on the dimension of the attractor for the Dirichlet problem of the complex Ginzburg-Landau equation
6 March 2008 by
Nikos Karachalios
Analysis of PDEs
,
Mathematical Physics
A sharp estimate and change on the dimension of the attractor for Allen-Cahn equations
14 February 2008 by
Nikos Karachalios
and
Nikos Zographopoulos
Analysis of PDEs
,
Dynamical Systems
The semiflow of a reaction diffusion equation with a singular potential
13 February 2008 by
Nikos Karachalios
and
Nikos Zographopoulos
Analysis of PDEs
,
Dynamical Systems
Global nonexistence phenomena in infinite lattices of nonlinear oscillators
25 July 2005 by
Nikos Karachalios
Pattern Formation and Solitons
A remark on the existence of breather solutions for the Discrete Nonlinear Schrödinger Equation in infinite lattices: The case of site dependent anharmonic parameter
27 June 2005 by
Nikos Karachalios
Pattern Formation and Solitons
On the Dynamics of a Degenerate Parabolic Equation: Global Bifurcation of Stationary States and Convergence
18 May 2005 by
Nikos Karachalios
and
Nikos Zographopoulos
Analysis of PDEs
,
Dynamical Systems
Global Existence and Compact Attractors for the Discrete Nonlinear Schrödinger equation
15 March 2005 by
Nikos Karachalios
and
Athanasios Yannacopoulos
Classical Analysis and ODEs
,
Dynamical Systems
Asymptotic Behavior of Solutions of Complex Discrete Evolution Equations: The Discrete Ginzburg-Landau Equation
15 March 2005 by
Nikos Karachalios
and
others
Classical Analysis and ODEs
,
Dynamical Systems
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Key points
Topics
Pattern Formation and Solitons
Analysis of PDEs
Dynamical Systems
Mathematical Physics
Classical Analysis and ODEs
Fluid Dynamics
Optics