56 citations · 304 across the 31 of their papers we have counts for
31 papers
On the proximity between the wave dynamics of the integrable focusing nonlinear Schrödinger equation and its non-integrable generalizations
Dirk Hennig, Nikos I. Karachalios, Dionyssios Mantzavinos +2
The question of whether features and behaviors that are characteristic to completely integrable systems persist in the transition to non-integrable settings is a central one in the…
Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite background in discrete nonlinear Schrödinger models
E. G. Charalampidis, G. James, J. Cuevas-Maraver +3
In the present work we explore the potential of models of the discrete nonlinear Schrödinger (DNLS) type to support spatially localized and temporally quasiperiodic solutions on to…
Dissipative localised structures for the complex Discrete Ginzburg-Landau equation
Dirk Hennig, Nikos I. Karachalios, Jesús Cuevas-Maraver
The discrete complex Ginzburg-Landau equation is a fundamental model for the dynamics of nonlinear lattices incorporating competitive dissipation and energy gain effects. Such mech…
Exponentially stable breather solutions in nonautonomous dissipative nonlinear Schrödinger lattices
Dirk Hennig
We consider damped and forced discrete nonlinear Schrödinger equations on the lattice . First we establish the existence of periodic and quasiperiodic breather solution…
Periodic travelling wave solutions of discrete nonlinear Klein-Gordon lattices
Dirk Hennig, Nikos I. Karachalios
We prove the existence of periodic travelling wave solutions for general discrete nonlinear Klein-Gordon systems, considering both cases of hard and soft on-site potentials. In the…
The closeness of localised structures between the Ablowitz-Ladik lattice and Discrete Nonlinear Schrödinger equations II: Generalised AL and DNLS systems
Dirk Hennig, Nikos I. Karachalios, Jesus Cuevas-Maraver
The Ablowitz-Ladik system, being one of the few integrable nonlinear lattices, admits a wide class of analytical solutions, ranging from exact spatially localised solitons to ratio…