70 citations · 630 across the 58 of their papers we have counts for
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Stability of solitary waves and vortices in a 2D nonlinear Dirac model
J. Cuevas-Maraver, P. G. Kevrekidis, A. Saxena +2
We explore a prototypical two-dimensional model of the nonlinear Dirac type and examine its solitary wave and vortex solutions. In addition to identifying the stationary states, we…
Solitary waves of a PT-symmetric Nonlinear Dirac equation
Jesús Cuevas--Maraver, Panayotis G. Kevrekidis, Avadh Saxena +4
In the present work, we consider a prototypical example of a PT-symmetric Dirac model. We discuss the underlying linear limit of the model and identify the threshold of the PT-phas…
PT Meets Supersymmetry and Nonlinearity: An Analytically Tractable Case Example
P. G. Kevrekidis, J. Cuevas-Maraver, A. Saxena +2
In the present work, we combine the notion of -symmetry with that of super-symmetry (SUSY) for a prototypical case example with a complex potential that is related by…
Nonlinear instabilities of multi-site breathers in Klein-Gordon lattices
Jesús Cuevas-Maraver, Panayotis G. Kevrekidis, Dmitry E. Pelinovsky
In the present work, we explore the possibility of excited breather states in a nonlinear Klein--Gordon lattice to become nonlinearly unstable, even if they are found to be spectra…