Articles by Nikos I. Karachalios | Synthical

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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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Topics

Pattern Formation and Solitons Analysis of PDEs Dynamical Systems Mathematical Physics Classical Analysis and ODEs Fluid Dynamics Optics