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Mostrando ítems 1-10 de 11
Artículo
Two-dimensional discrete solitons in rotating lattices
(2007)
We introduce a two-dimensional discrete nonlinear Schrödinger (DNLS) equation with self-attractive cubic nonlinearity in a rotating reference frame. The model applies to a Bose-Einstein condensate stirred by a rotating ...
Artículo
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
(Elsevier, 2021-03)
We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to ana- lytical predictions developed by means ...
Artículo
Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity
(2009)
We study the discrete nonlinear Schrödinger lattice model with the onsite nonlinearity of the general form, |u|2σu|u|2σu. We systematically verify the conditions for the existence and stability of discrete solitons in the ...
Artículo
Approximation of solitons in the discrete NLS equation
(World Scientific, 2008)
We study four diferent approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational ...
Artículo
Stabilization of the Peregrine soliton and Kuznetsov-Ma breathers by means of nonlinearity and dispersion management
(Elsevier, 2018)
We demonstrate a possibility to make rogue waves (RWs) in the form of the Peregrine soliton (PS) and Kuznetsov-Ma breathers (KMBs) effectively stable objects, with the help of properly defined dispersion or nonlinearity ...
Artículo
Solitary waves in the Ablowitz--Ladik equation with power-law nonlinearity
(IOP Publishing, 2019)
We introduce a generalized version of the Ablowitz-Ladik model with a power-law nonlinearity, as a discretization of the continuum nonlinear Schr¨odinger equation with the same type of the nonlinearity. The model opens a ...
Artículo
Motion of discrete solitons assisted by nonlinearity management
(2005)
We demonstrate that time-periodic modulation of the nonlinearity coefficient in the discrete nonlinear Schrödinger equation strongly facilitates creation of traveling solitons in the lattice. We predict this possibility ...
Artículo
Solitons in quasi-one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
(2009)
We study families of one-dimensional matter-wave bright solitons supported by the competition of contact and dipole-dipole (DD) interactions of opposite signs. Soliton families are found, and their stability is investigated ...
Artículo
A PT-Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling
(MDPI, 2016)
As an extension of the class of nonlinear PT-symmetric models, we propose a system of sine-Gordon equations, with the PT symmetry represented by balanced gain and loss in them. The equations are coupled by sine-field terms ...
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