84 citations · 421 across the 19 of their papers we have counts for
20 papers
Fronts in dissipative Fermi-Pasta-Ulam-Tsingou chains
Michael Herrmann, Guillaume James, Karsten Matthies
In a dissipative Fermi-Pasta-Ulam-Tsingou chain particles interact with their nearest neighbors through anharmonic potentials and linear dissipative forces. We prove the existence…
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…
Floquet Analysis of Kuznetsov--Ma breathers: A Path Towards Spectral Stability of Rogue Waves
J. Cuevas-Maraver, P. G. Kevrekidis, D. J. Frantzeskakis +3
In the present work, we aim at taking a step towards the spectral stability analysis of Peregrine solitons, i.e., wave structures that are used to emulate extreme wave events. Give…
Breathers in a locally resonant granular chain with precompression
Lifeng Liu, Guillaume James, Panayotis Kevrekidis +1
We study a locally resonant granular material in the form of a precompressed Hertzian chain with linear internal resonators. Using an asymptotic reduction, we derive an effective n…
Nonlinear waves in a strongly nonlinear resonant granular chain
Lifeng Liu, Guillaume James, Panayotis Kevrekidis +1
We explore a recently proposed locally resonant granular system bearing harmonic internal resonators in a chain of beads interacting via Hertzian elastic contacts. In this system,…
Breather solutions of the discrete p-Schrödinger equation
Guillaume James, Yuli Starosvetsky
We consider the discrete p-Schrödinger (DpS) equation, which approximates small amplitude oscillations in chains of oscillators with fully-nonlinear nearest-neighbors interactions…