130 citations · 550 across the 53 of their papers we have counts for
9 papers · 1 filter
Mixed dispersion nonlinear Schrödinger equation in higher dimensions: theoretical analysis and numerical computations
A. Stefanov, G. A. Tsolias, J. Cuevas-Maraver +1
In the present work we provide a characterization of the ground states of a higher-dimensional quadratic-quartic model of the nonlinear Schr{ö}dinger class with a combination of a…
Traveling waves for the Mass in Mass model of granular chains
Panayotis G. Kevrekidis, Atanas G. Stefanov, Haitao Xu
In the present work, we consider the mass in mass (or mass with mass) system of granular chains, namely a granular chain involving additionally an internal resonator. For these cha…
Traveling Waves and their Tails in Locally Resonant Granular Systems
H. Xu, P. G. Kevrekidis, A. Stefanov
In the present study, we revisit the theme of wave propagation in locally resonant granular crystal systems, also referred to as Mass-in-Mass systems. We use 3 distinct approaches…
Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation
Aslihan Demirkaya, Panayotis G. Kevrekidis, Milena Stanislavova +1
In the present work, we introduce a new -symmetric variant of the Klein-Gordon field theoretic problem. We identify the standing wave solutions of the proposed class…
On the spectral stability of kinks in some PT-symmetric variants of the classical Klein-Gordon Field Theories
A. Demirkaya, M. Stanislavova, A. Stefanov +2
In the present work we consider the introduction of PT-symmetric terms in the context of classical Klein-Gordon field theories. We explore the implication of such terms on the spec…
On the existence of solitary traveling waves for generalized Hertzian chains
A. Stefanov, P. G. Kevrekidis
We consider the question of existence of "bell-shaped" (i.e. non-increasing for x>0 and non-decreasing for x<0) traveling waves for the strain variable of the generalized Hertzian…