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Artículo
New classes of stable exact solutions for a nonlinear rotational DNA model
(Jagellonian University, 2010)
We consider a system of two coupled nonlinear partial differential equations for describing the rotational motions of bases in both polynucleotide chains of the DNA molecule. The model was proposed by L.V. Yakushevich and ...
Capítulo de Libro
Classical and quantum nonlinear localized excitations in discrete systems
(Transworld Research Network, 2005)
Discrete breathers, or intrinsic localized modes, are spatially localized, time–periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units. Recently, some experiments show the ...
Artículo
Nonsymmetric moving breather collisions in the Peyrard-Bishop DNA model
(American Institute of Mathematical Sciences (AIMS), 2011)
We study nonsymmetric collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. In this paper we have considered the following types of nonsymmetric collisions: head-on collisions of two breathers traveling ...
Artículo
Artículo
Dark-bright discrete solitons: a numerical study of existence, stability and dynamics
(2011)
the present work, we numerically explore the existence and stability properties of different types of configurations of dark-bright solitons, dark-bright soliton pairs and pairs of dark-bright and dark solitons in discrete ...
Ponencia
Discrete breathers collisions in nonlinear Schrödinger and Klein-Gordon lattices
(2008)
Collisions between moving localized modes (moving breathers) in non- integrable lattices present a rich outcome. In this paper, some features of the interaction of moving breathers in Discrete Nonlinear Schrödinger and ...
Artículo
Moving breather collisions in Klein-Gordon chains of oscillators
(2009)
We investigate the collisions of moving breathers, with the same frequency, in three different Klein-Gordon chains of oscillators. The on-site potentials are: the asymmetric and soft Morse potential, the symmetric and soft ...
Artículo
Breather trapping and breather transmission in a DNA model with an interface
(2006)
We study the dynamics of moving discrete breathers in an interfaced piecewise DNA molecule. This is a chain in which all the base pairs are identical and there exists a discontinuity in the orientation of the dipole moments ...
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, ...
Capítulo de Libro
Moving breather collisions in the Peyrard-Bishop DNA model
(Springer, 2009)
We consider collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. Two identical stationary breathers, sep- arated by a fixed number of pair-bases, are perturbed and begin to move approaching to each other ...