50 citations · 291 across the 18 of their papers we have counts for
18 papers
Interactions of solitary waves in the Adlam-Allen model
Boris A. Malomed, Panayotis G. Kevrekidis, Vassilis Koukouloyannis +2
We study the interactions of two or more solitary waves in the Adlam-Allen model describing the evolution of a (cold) plasma of positive and negative charges, in the presence of el…
Evaluating the Robustness of Rogue Waves Under Perturbations
C. B. Ward, P. G. Kevrekidis, N. Whitaker
Rogue waves, and their periodic counterparts, have been shown to exist in a number of integrable models. However, relatively little is known about the existence of these objects in…
A Toolkit For Steady States of Nonlinear Wave Equations: Continuous Time Nesterov and Exponential Time Differencing Schemes
C. B. Ward, N. Whitaker, I. G. Kevrekidis +1
Several methods exist for finding ground (as well as excited) states of nonlinear waves equations. In this paper we first introduce two modifications of the so-called accelerated i…
A Numerical Bifurcation Analysis of a Dryland Vegetation Model
C. B. Ward, P. G. Kevrekidis, N. Whitaker
The dryland vegetation model proposed by Rietkerk and collaborators has been explored from a bifurcation perspective in several previous studies. Our aim here is to explore in some…
Bright Discrete Solitons in Spatially Modulated DNLS Systems
P. G. Kevrekidis, R. L. Horne, N. Whitaker +2
In the present work, we revisit the highly active research area of inhomogeneously nonlinear defocusing media and consider the existence, spectral stability and nonlinear dynamics…
Traveling Wave Solutions in a Chain of periodically Forced Couple Nonlinear Oscillators
Mei Duanmu, Nathaniel Whitaker, Panos Kevrekidis +2
Motivated by earlier studies of artificial perceptions of light called phosphenes, we analyze traveling wave solutions in a chain of periodically forced coupled nonlinear oscillato…