Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Tobisch, Elena"'
Autor:
Zhang, Huilin, Tobisch, Elena
An effective equation describes a weakly nonlinear wave field evolution governed by nonlinear dispersive PDEs \emph{via} the set of its resonances in an arbitrary big but finite domain in the Fourier space. We consider the Schr\"{o}dinger equation wi
Externí odkaz:
http://arxiv.org/abs/1912.02289
Autor:
Dutykh, Denys, Tobisch, Elena
Publikováno v:
Physica D: Nonlinear Phenomena (2015), Vol. 297, pp.76-87
In this study we examine the energy transfer mechanism during the nonlinear stage of the Modulational Instability (MI) in the modified Korteweg-de Vries equation. The particularity of this study consists in considering the problem essentially in the
Externí odkaz:
http://arxiv.org/abs/1805.05931
Autor:
Bugaychuk, Svitlana, Tobisch, Elena
Publikováno v:
J. Phys. A: Math. Theor. 51 (2018), 125201 (10pp)
In this Letter we study theoretically the interaction of optical waves in nonlinear dynamical medium, i.e. medium with relaxation. Taking into account the relaxation of the photoinduced nonlinearity we derive a single evolution equation, namely the n
Externí odkaz:
http://arxiv.org/abs/1702.06853
Akademický článek
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Autor:
Dutykh, Denys, Tobisch, Elena
Publikováno v:
Mathematics (2020), Vol. 8, Issue 3, p. 450
In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation range of amplitudes can be significantly wider than for exact resonanc
Externí odkaz:
http://arxiv.org/abs/1411.5518
Autor:
Tobisch, Elena
Many new models of wave turbulence -- frozen, mesoscopic, laminated, decaying, sand-pile, etc. -- have been developed in the last decade aiming to solve problems seemingly not solvable in the framework of the existing wave turbulence theory (WTT). In
Externí odkaz:
http://arxiv.org/abs/1406.3780
Autor:
Tobisch, Elena
In this Letter we regard nonlinear gravity-capillary waves with parameter of nonlinearity being $\varepsilon \sim 0.1 \div 0.25$. For this nonlinearity time scale separation does not occur and kinetic wave equation does not hold. An energy cascade in
Externí odkaz:
http://arxiv.org/abs/1406.3779
Autor:
Dutykh, Denys, Tobisch, Elena
Publikováno v:
EPL (2014), Vol. 107, p. 14001
In this Letter we demonstrate for the first time the formation of the inverse energy cascade in the focusing modified Korteweg-de Vries (mKdV) equation. We study numerically the properties of this cascade such as the dependence of the spectrum shape
Externí odkaz:
http://arxiv.org/abs/1406.3784