Zobrazeno 1 - 10
of 184
pro vyhledávání: '"Barashenkov, I. V."'
Two different methods are used to study the existence and stability of the (1+1)-dimensional $\Phi^4$ oscillon. The variational technique approximates it by a periodic function with a set of adiabatically changing parameters. An alternative approach
Externí odkaz:
http://arxiv.org/abs/2404.01028
Autor:
Barashenkov, I. V., Alexeeva, N. V.
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 up when perturbed. We propose a multiscale variational approach free f
Externí odkaz:
http://arxiv.org/abs/2310.20345
Oscillons are localised long-lived pulsating states in the three-dimensional $\phi^4$ theory. We gain insight into the spatio-temporal structure and bifurcation of the oscillons by studying time-periodic solutions in a ball of a finite radius. A sequ
Externí odkaz:
http://arxiv.org/abs/2304.05911
We consider $\mathcal{PT}$-symmetric ring-like arrays of optical waveguides with purely nonlinear gain and loss. Regardless of the value of the gain-loss coefficient, these systems are protected from spontaneous $\mathcal{PT}$-symmetry breaking. If t
Externí odkaz:
http://arxiv.org/abs/2303.14493
Autor:
Barashenkov, I. V., Feinstein, Daniel
We consider light pulses in a circular array of $2N$ coupled nonlinear optical waveguides. The waveguides are either hermitian or alternate gain and loss in a $\mathcal{PT}$-symmetric fashion. Simple patterns in the array include a ring of $2N$ pulse
Externí odkaz:
http://arxiv.org/abs/2102.09648
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 absence of the Gilbert damping, the equation turns out to be PT-symme
Externí odkaz:
http://arxiv.org/abs/2004.01245
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 field and loss to the other one results in an unstable dispersion relati
Externí odkaz:
http://arxiv.org/abs/1812.02423
We present a new approach for search of coexisting classes of localised modes admitted by the repulsive (defocusing) scalar or vector nonlinear Schr\"odinger-type equations. The approach is based on the observation that generic solutions of the corre
Externí odkaz:
http://arxiv.org/abs/1809.00484
Autor:
Barashenkov, I V
The wobbling kink is the soliton of the $\phi^4$ model with an excited internal mode. We outline an asymptotic construction of this particle-like solution that takes into account the coexistence of several space and time scales. The breakdown of the
Externí odkaz:
http://arxiv.org/abs/1808.01758
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 focusing Kerr nonlinearity. The array supports two co-existing solitons,
Externí odkaz:
http://arxiv.org/abs/1710.06060