23 citations · 34 across the 6 of their papers we have counts for
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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…
Asymptotic Expansions and Solitons of the Camassa-Holm Nonlinear Schrodinger Equation
I. K. Mylonas, C. B. Ward, P. G. Kevrekidis +2
We study a deformation of the defocusing nonlinear Schrödinger (NLS) equation, the defocusing Camassa- Holm NLS, hereafter referred to as CH-NLS equation. We use asymptotic multisc…