77 citations · 492 across the 25 of their papers we have counts for
12 papers · 1 filter
Revisiting Multi-breathers in the discrete Klein-Gordon equation: A Spatial Dynamics Approach
Ross Parker, Jesús Cuevas-Maraver, P. G. Kevrekidis +1
We consider the existence and spectral stability of multi-breather structures in the discrete Klein-Gordon equation, both for soft and hard symmetric potentials. To obtain analytic…
Kink-antikink stripe interactions in the two-dimensional sine-Gordon equation
R. Carretero-Gonzalez, L. A. Cisneros-Ake, R. Decker +4
The main focus of the present work is to study quasi-one-dimensional kink-antikink stripes embedded in the two-dimensional sine-Gordon equation. Using variational techniques, we re…
Reduced dynamics for one and two dark soliton stripes in the defocusing nonlinear Schrödinger equation: a variational approach
L. A. Cisneros-Ake, R. Carretero-Gonzalez, P. G. Kevrekidis
We study the dynamics and pairwise interactions of dark soliton stripes in the two-dimensional defocusing nonlinear Schrödinger equation. By employing a variational approach we red…
2D solutions of the hyperbolic discrete nonlinear Schrödinger equation
J. D'Ambroise, P. G. Kevrekidis
We derive stationary solutions to the two-dimensional hyperbolic discrete nonlinear Schrödinger (HDNLS) equation by starting from the anti-continuum limit and extending solutions t…
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…
Lattice Three-Dimensional Skyrmions Revisited
E. G. Charalampidis, T. A. Ioannidou, P. G. Kevrekidis
In the continuum a skyrmion is a topological nontrivial map between Riemannian manifolds, and a stationary point of a particular energy functional. This paper describes lattice ana…