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E. Tsoy

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Papers by E. Tsoy

Research paper thumbnail of Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate

Research paper thumbnail of Stationary and dynamical properties of one-dimensional quantum droplets

Research paper thumbnail of Coupled oscillators with parity-time symmetry

Research paper thumbnail of Dynamics and interaction of pulses in the modified Manakov model

Optics Communications, 2006

Research paper thumbnail of A modelling approach for derivation of the breakage functions

Chemical Engineering Science, 2012

Abstract Theoretical analysis of the particle fragmentation process requires a proper choice of t... more Abstract Theoretical analysis of the particle fragmentation process requires a proper choice of the breakage functions. In this work we construct the breakage functions on a basis of numerical modelling. Four types of the breakage functions are obtained. We demonstrate that if the average number of fragments at a single breakage event is larger than two, then the breakage kernel is asymmetric. Also a possibility of double-peaked kernels is shown.

Research paper thumbnail of On the solution of multicomponent nonlinear Schrödinger equations

Research paper thumbnail of Theoretical analysis of the self-frequency shift near zero-dispersion points: Soliton spectral tunneling

Research paper thumbnail of Bifurcations from stationary to pulsating solitons in the cubic–quintic complex Ginzburg–Landau equation

Research paper thumbnail of Gap-soliton trapping in random one-dimensional gratings

Research paper thumbnail of Soliton compression and pulse-train generation by use of microchip Q-switched pulses in Bragg gratings

Research paper thumbnail of Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management

The dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a... more The dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length (``Feshbach-resonance management, FRM'') is investigated. The cases of both slow and rapid modulation, in comparison with the tunneling frequency, are considered. We employ a discrete variational approach for the analysis of the system. The existence of nonlinear resonances and chaos is predicted at special values of the driving frequency. Soliton splitting is observed in numerical simulations. In the case of the rapid modulation, we derive an averaged equation, which is a generalized discrete nonlinear Schroedinger equation, including higher-order effective nonlinearities and intersite nonlinear interactions. Thus the predicted discrete FRM solitons are a direct matter-wave analog of recently investigated discrete diffraction-managed optical solitons.

Research paper thumbnail of Beam dynamics in quadratically nonlinear waveguides with gain and losses

Research paper thumbnail of Stochastic breaking by ac-bias of a bifluxon state in coupled long Josephson junctions

Physics Letters A, 1997

Abstract The dynamics of fluxons in coupled long Josephson junctions is considered. The condition... more Abstract The dynamics of fluxons in coupled long Josephson junctions is considered. The condition for stochastic breaking of a bound state of fluxons under the action of ac-current is analytically derived and tested by numerical simulations.

Research paper thumbnail of Solitons in weakly nonlocal media with cubic-quintic nonlinearity

Physical Review A, 2010

The propagation of optical beams in weakly nonlocal media with cubic-quintic nonlinearity is stud... more The propagation of optical beams in weakly nonlocal media with cubic-quintic nonlinearity is studied. The exact solutions for bright and dark solitons are found. The general solutions are implicit, and they are expressed in terms of the elliptic integrals. In particular cases, the solutions are written explicitly in terms of the hyperbolic functions. The dependence of the beam parameters and the soliton shapes on the system parameters is analyzed. The role of nonlocality on the soliton stability is investigated.

Research paper thumbnail of Oscillations of the soliton parameters in nonlinear interference phenomena

Research paper thumbnail of Dynamics of ultrashort pulses near zero dispersion wavelength

Research paper thumbnail of Gap-soliton trapping in random one-dimensional gratings

Physical Review A, 2008

The dynamics of gap solitons in random gratings is studied. We show that the influence of disorde... more The dynamics of gap solitons in random gratings is studied. We show that the influence of disorder is averaged over the soliton width, so that the soliton acts as a low-pass filter. The averaging results in an effective potential, which can trap solitons. The statistical properties of the potential are found. We show that soliton trapping is related to level crossing by a random function, which allows us to find the mean number of soliton reflections and the mean distance between consecutive reflections.

Research paper thumbnail of Introduction to nonlinear discrete systems: Theory and modeling

An analysis of discrete systems is important for understanding of various physical processes, suc... more An analysis of discrete systems is important for understanding of various physical processes, such as excitations in crystal lattices and molecular chains, the light propagation in waveguide arrays, and the dynamics of Bose-condensate droplets. In basic physical courses, usually linear properties of discrete systems are studied. In this paper we propose a pedagogical introduction to the theory of nonlinear distributed systems. The main ideas and methods are illustrated using a universal model for different physical applications, the discrete nonlinear Schrödinger (DNLS) equation. We consider solutions of the DNLS equation and analyze their linear stability. The notions of nonlinear plane waves, modulational instability, discrete solitons and the anti-continuum limit are introduced and thoroughly discussed. A Mathematica program is provided for better comprehension of results and further exploration. Also, few problems, extending the topic of the paper, for independent solution are g...

Research paper thumbnail of Introduction to nonlinear discrete systems: theory and modelling

European Journal of Physics

Research paper thumbnail of Dynamic tuning of a supercontinuum using an acoustic grating - experimental and numerical investigation

OFC/NFOEC 2008 - 2008 Conference on Optical Fiber Communication/National Fiber Optic Engineers Conference

We investigate dynamic shaping of the spectrum of a supercontinuum using a tunable acoustic long-... more We investigate dynamic shaping of the spectrum of a supercontinuum using a tunable acoustic long-period fiber grating filter. We demonstrate reconfigurable spectral enhancement, which is easily tuned by adjustment of an external radio frequency source.

Research paper thumbnail of Modulational instability and quantum droplets in a two-dimensional Bose-Einstein condensate

Research paper thumbnail of Stationary and dynamical properties of one-dimensional quantum droplets

Research paper thumbnail of Coupled oscillators with parity-time symmetry

Research paper thumbnail of Dynamics and interaction of pulses in the modified Manakov model

Optics Communications, 2006

Research paper thumbnail of A modelling approach for derivation of the breakage functions

Chemical Engineering Science, 2012

Abstract Theoretical analysis of the particle fragmentation process requires a proper choice of t... more Abstract Theoretical analysis of the particle fragmentation process requires a proper choice of the breakage functions. In this work we construct the breakage functions on a basis of numerical modelling. Four types of the breakage functions are obtained. We demonstrate that if the average number of fragments at a single breakage event is larger than two, then the breakage kernel is asymmetric. Also a possibility of double-peaked kernels is shown.

Research paper thumbnail of On the solution of multicomponent nonlinear Schrödinger equations

Research paper thumbnail of Theoretical analysis of the self-frequency shift near zero-dispersion points: Soliton spectral tunneling

Research paper thumbnail of Bifurcations from stationary to pulsating solitons in the cubic–quintic complex Ginzburg–Landau equation

Research paper thumbnail of Gap-soliton trapping in random one-dimensional gratings

Research paper thumbnail of Soliton compression and pulse-train generation by use of microchip Q-switched pulses in Bragg gratings

Research paper thumbnail of Array of Bose-Einstein condensates under time-periodic Feshbach-resonance management

The dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a... more The dynamics of a discrete soliton in an array of Bose-Einstein condensates under the action of a periodically time-modulated atomic scattering length (``Feshbach-resonance management, FRM'') is investigated. The cases of both slow and rapid modulation, in comparison with the tunneling frequency, are considered. We employ a discrete variational approach for the analysis of the system. The existence of nonlinear resonances and chaos is predicted at special values of the driving frequency. Soliton splitting is observed in numerical simulations. In the case of the rapid modulation, we derive an averaged equation, which is a generalized discrete nonlinear Schroedinger equation, including higher-order effective nonlinearities and intersite nonlinear interactions. Thus the predicted discrete FRM solitons are a direct matter-wave analog of recently investigated discrete diffraction-managed optical solitons.

Research paper thumbnail of Beam dynamics in quadratically nonlinear waveguides with gain and losses

Research paper thumbnail of Stochastic breaking by ac-bias of a bifluxon state in coupled long Josephson junctions

Physics Letters A, 1997

Abstract The dynamics of fluxons in coupled long Josephson junctions is considered. The condition... more Abstract The dynamics of fluxons in coupled long Josephson junctions is considered. The condition for stochastic breaking of a bound state of fluxons under the action of ac-current is analytically derived and tested by numerical simulations.

Research paper thumbnail of Solitons in weakly nonlocal media with cubic-quintic nonlinearity

Physical Review A, 2010

The propagation of optical beams in weakly nonlocal media with cubic-quintic nonlinearity is stud... more The propagation of optical beams in weakly nonlocal media with cubic-quintic nonlinearity is studied. The exact solutions for bright and dark solitons are found. The general solutions are implicit, and they are expressed in terms of the elliptic integrals. In particular cases, the solutions are written explicitly in terms of the hyperbolic functions. The dependence of the beam parameters and the soliton shapes on the system parameters is analyzed. The role of nonlocality on the soliton stability is investigated.

Research paper thumbnail of Oscillations of the soliton parameters in nonlinear interference phenomena

Research paper thumbnail of Dynamics of ultrashort pulses near zero dispersion wavelength

Research paper thumbnail of Gap-soliton trapping in random one-dimensional gratings

Physical Review A, 2008

The dynamics of gap solitons in random gratings is studied. We show that the influence of disorde... more The dynamics of gap solitons in random gratings is studied. We show that the influence of disorder is averaged over the soliton width, so that the soliton acts as a low-pass filter. The averaging results in an effective potential, which can trap solitons. The statistical properties of the potential are found. We show that soliton trapping is related to level crossing by a random function, which allows us to find the mean number of soliton reflections and the mean distance between consecutive reflections.

Research paper thumbnail of Introduction to nonlinear discrete systems: Theory and modeling

An analysis of discrete systems is important for understanding of various physical processes, suc... more An analysis of discrete systems is important for understanding of various physical processes, such as excitations in crystal lattices and molecular chains, the light propagation in waveguide arrays, and the dynamics of Bose-condensate droplets. In basic physical courses, usually linear properties of discrete systems are studied. In this paper we propose a pedagogical introduction to the theory of nonlinear distributed systems. The main ideas and methods are illustrated using a universal model for different physical applications, the discrete nonlinear Schrödinger (DNLS) equation. We consider solutions of the DNLS equation and analyze their linear stability. The notions of nonlinear plane waves, modulational instability, discrete solitons and the anti-continuum limit are introduced and thoroughly discussed. A Mathematica program is provided for better comprehension of results and further exploration. Also, few problems, extending the topic of the paper, for independent solution are g...

Research paper thumbnail of Introduction to nonlinear discrete systems: theory and modelling

European Journal of Physics

Research paper thumbnail of Dynamic tuning of a supercontinuum using an acoustic grating - experimental and numerical investigation

OFC/NFOEC 2008 - 2008 Conference on Optical Fiber Communication/National Fiber Optic Engineers Conference

We investigate dynamic shaping of the spectrum of a supercontinuum using a tunable acoustic long-... more We investigate dynamic shaping of the spectrum of a supercontinuum using a tunable acoustic long-period fiber grating filter. We demonstrate reconfigurable spectral enhancement, which is easily tuned by adjustment of an external radio frequency source.

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