Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Horikis, T. P."'
We study nonlocal bright solitons subject to external spatially nonuniform potentials. If the potential is slowly varying on the soliton scale, we derive analytical soliton solutions behaving like Newtonian particles. If the potential has the form of
Externí odkaz:
http://arxiv.org/abs/2407.05797
Publikováno v:
Math. Meth. Appl. Sci. (2024), 1-17
We study a spherical, self-gravitating fluid model, which finds applications in cosmic structure formation. We argue that since the system features nonlinearity and gravity-induced dispersion, the emergence of solitons becomes possible. We thus emplo
Externí odkaz:
http://arxiv.org/abs/2312.16577
Publikováno v:
Phys. Rev. A 105, 023323 (2022)
We consider the interplay of repulsive short-range and same-sign long-range interactions in the dynamics of dark solitons, as prototypical coherent nonlinear excitations in a trapped 1D Bose gas. First, the form of the ground state is examined, and t
Externí odkaz:
http://arxiv.org/abs/2106.14115
We study the transverse instability and dynamics of bright soliton stripes in two-dimensional nonlocal nonlinear media. Using a multiscale perturbation method, we derive analytically the first-order correction to the soliton shape, which features an
Externí odkaz:
http://arxiv.org/abs/2105.09170
We study asymptotic reductions and solitary waves of a weakly nonlocal defocusing nonlinear Schr\"odinger (NLS) model. The hydrodynamic form of the latter is analyzed by means of multiscale expansion methods. To the leading-order of approximation (wh
Externí odkaz:
http://arxiv.org/abs/2011.09651
The stability and dynamical properties of the so-called resonant nonlinear Schr\"odinger (RNLS) equation, are considered. The RNLS is a variant of the nonlinear Schr\"odinger (NLS) equation with the addition of a perturbation used to describe wave pr
Externí odkaz:
http://arxiv.org/abs/2003.01883
Publikováno v:
Phys. Rev. Research 2, 013351 (2020)
In the present work, a nonlocal nonlinear Schr\"odinger (NLS) model is studied by means of a recent technique that identifies solutions of partial differential equations, by considering them as fixed points in {\it space-time}. This methodology allow
Externí odkaz:
http://arxiv.org/abs/1910.01252
We study the existence, formation and dynamics of gray solitons for an extended quintic nonlinear Schr\"odinger (NLS) equation. The considered model finds applications to water waves, when the characteristic parameter $kh$ - where $k$ is the wavenumb
Externí odkaz:
http://arxiv.org/abs/1810.12500
Autor:
Frantzeskakis, D. J., Horikis, T. P., Rodrigues, A. S., Kevrekidis, P. G., Carretero-Gonzalez, R., Cuevas-Maraver, J.
Publikováno v:
Phys. Rev. E 98, 022205 (2018)
We study a two-dimensional incoherently pumped exciton-polariton condensate described by an open-dissipative Gross-Pitaevskii equation for the polariton dynamics coupled to a rate equation for the exciton density. Adopting a hydrodynamic approach, we
Externí odkaz:
http://arxiv.org/abs/1804.08591
Autor:
Carretero-González, R., Cuevas-Maraver, J., Frantzeskakis, D. J., Horikis, T. P., Kevrekidis, P. G., Rodrigues, A. S.
We study the dynamics of dark solitons in an incoherently pumped exciton-polariton condensate by means of a system composed by a generalized open-dissipative Gross-Pitaevskii equation for the polaritons' wavefunction and a rate equation for the excit
Externí odkaz:
http://arxiv.org/abs/1710.01336