304 citations · 9.7k across the 421 of their papers we have counts for
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Kink-Antikink Interaction Forces and Bound States in a Model with Quadratic and Quartic dispersion
G. A. Tsolias, Robert J. Decker, A. Demirkaya +2
We consider the interaction of solitary waves in a model involving the well-known Klein-Gordon theory, but now bearing both Laplacian and biharmonic terms with different pref…
The Stability of the -family of Peakon Equations
Efstathios G. Charalampidis, Ross Parker, Panayotis G. Kevrekidis +1
In the present work we revisit the -family model of peakon equations, containing as special cases the (Camassa-Holm) and (Degasperis-Procesi) integrable examples. We…
Thermalization in the one-dimensional Salerno model lattice
T. Mithun, A. Maluckov, B. M. Manda +5
The Salerno model constitutes an intriguing interpolation between the integrable Ablowitz-Ladik (AL) model and the more standard (non-integrable) discrete nonlinear Schr{ö}dinger (…
Stability of topological edge states under strong nonlinear effects
Rajesh Chaunsali, Haitao Xu, Jinkyu Yang +2
We examine the role of strong nonlinearity on the topologically-robust edge state in a one-dimensional system. We consider a chain inspired from the Su-Schrieffer-Heeger model, but…
Nonlinear Localized Modes in Two-Dimensional Hexagonally-Packed Magnetic Lattices
C. Chong, Yifan Wang, Donovan Marechal +6
We conduct an extensive study of nonlinear localized modes (NLMs), which are temporally periodic and spatially localized structures, in a two-dimensional array of repelling magnets…
A Normal Form for the Onset of Collapse: the Prototypical Example of the Nonlinear Schrodinger Equation
S. J. Chapman, M. E. Kavousanakis, I. G. Kevrekidis +1
The study of nonlinear waves that collapse in finite time is a theme of universal interest, e.g. within optical, atomic, plasma physics, and nonlinear dynamics. Here we revisit the…