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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
Moving breathers in bent DNA with realistic parameters
(2004-10-30)
Recent papers have considered moving breathers (MBs) in DNA models including long range interaction due to the dipole moments of the hydrogen bonds. We have recalculated the value of the charge transfer when hydrogen ...
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
Discrete moving breather collisions in a Klein-Gordon chain of oscillators
(2008)
We study the collisions of moving breathers with the same frequency, traveling with opposite directions within a Klein–Gordon chain of oscillators. Two types of collisions have been analyzed: symmetric and non-symmetric, ...
Artículo
Discrete soliton collisions in a waveguide array with saturable nonlinearity
(2006)
We study the symmetric collisions of two mobile breathers/solitons in a model for coupled wave guides with a saturable nonlinearity. The saturability allows the existence of mobile breathers with high power. Three main ...
Artículo
Lower and upper estimates on the excitation threshold for breathers in DNLS lattices
(2009)
We propose analytical lower and upper estimates on the excitation threshold for breathers (in the form of spatially localized and time periodic solutions) in discrete nonlinear Schrödinger (DNLS) lattices with power ...
Artículo
Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity
(2008)
We consider the question of existence of periodic solutions (called breather solutions or discrete solitons) for the Discrete Nonlinear Schrödinger Equation with saturable and power nonlinearity. Theoretical and numerical ...
Artículo
Solitons in one-dimensional nonlinear Schrödinger lattices with a local inhomogeneity
(2008)
In this paper we analyze the existence, stability, dynamical formation, and mobility properties of localized solutions in a one-dimensional system described by the discrete nonlinear Schrödinger equation with a linear point ...