246 citations · 640 across the 14 of their papers we have counts for
14 papers
The energy-frequency diagram of the (1+1)-dimensional oscillon
N. V. Alexeeva, I. V. Barashenkov, Alain Dika +1
Two different methods are used to study the existence and stability of the (1+1)-dimensional oscillon. The variational technique approximates it by a periodic function with a…
Variational formalism for the Klein-Gordon oscillon
I. V. Barashenkov, N. V. Alexeeva
The variational method employing the amplitude and width as collective coordinates of the Klein-Gordon oscillon leads to a dynamical system with unstable periodic orbits that blow…
Understanding oscillons: standing waves in a ball
N. V. Alexeeva, I. V. Barashenkov, A. A. Bogolubskaya +1
Oscillons are localised long-lived pulsating states in the three-dimensional theory. We gain insight into the spatio-temporal structure and bifurcation of the oscillons by st…
Spinor solitons and their -symmetric offspring
N. V. Alexeeva, I. V. Barashenkov, A. Saxena
Although the spinor field in (1+1) dimensions has the right structure to model a dispersive bimodal system with gain and loss, the plain addition of gain to one component of the fi…
Solitons in PT-symmetric ladders of optical waveguides
N V Alexeeva, I V Barashenkov, Y S Kivshar
We consider a PT-symmetric ladder-shaped optical array consisting of a chain of waveguides with gain coupled to a parallel chain of waveguides with loss. All waveguides have the fo…
-symmetry breaking in a necklace of coupled optical waveguides
I V Barashenkov, L Baker, N V Alexeeva
We consider parity-time () symmetric arrays formed by optical waveguides with gain and waveguides with loss. When the gain-loss coefficient exceeds a critical…