246 citations · 1.5k across the 42 of their papers we have counts for
37 papers
Swinging Waves in the Ablowitz-Ladik Equation
I. V. Barashenkov, Frank S. Smuts
We construct a novel family of exact cnoidal wave and soliton solutions of the focusing and defocusing Ablowitz-Ladik equations. Unlike cnoidal waves that were obtained by earlier…
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…
Gyrating solitons in a necklace of optical waveguides
I. V. Barashenkov, Daniel Feinstein
We consider light pulses in a circular array of coupled nonlinear optical waveguides. The waveguides are either hermitian or alternate gain and loss in a -symmet…
Stable solitons in a nearly PT-symmetric ferromagnet with spin-transfer torque
I. V. Barashenkov, Alexander Chernyavsky
We consider the Landau-Lifshitz equation for the spin torque oscillator - a uniaxial ferromagnet in an external magnetic field with polarised spin current driven through it. In the…