23 citations · 34 across the 6 of their papers we have counts for
7 papers · 1 filter
Rogue Waves and Periodic Solutions of a Nonlocal Nonlinear Schrödinger Model
C. B. Ward, P. G. Kevrekidis, T. P. Horikis +1
In the present work, a nonlocal nonlinear Schrödinger (NLS) model is studied by means of a recent technique that identifies solutions of partial differential equations, by consider…
Rogue Waves as Self-Similar Solutions on a Background: A Direct Calculation
C. B. Ward, P. G. Kevrekidis
In the present work, we explore the possibility of developing rogue waves as exact solutions of some nonlinear dispersive equations, such as the nonlinear Schrödinger equation, but…
Solitary Waves of the Camassa-Holm Derivative Nonlinear Schrödinger equation
L. J. Guo, C. B. Ward, I. K. Mylonas +1
In this paper we examine a deformation of the derivative nonlinear Schrödinger (DNLS) equation, the so-called Camassa-Holm DNLS (CH-DNLS) equation. We use two asymptotic multiscale…
Solitary Waves of the Two-Dimensional Camassa-Holm--Nonlinear Schrödinger Equation
C. B. Ward, I. K. Mylonas, P. G. Kevrekidis +1
In this work, we study solitary waves in a (2+1)-dimensional variant of the defocusing nonlinear Schrödinger (NLS) equation, the so-called Camassa-Holm NLS (CH-NLS) equation. We us…
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…