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An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices
(The Royal Society, 2017)
In this work, we revisit a criterion, originally proposed in [Nonlinearity 17, 207 (2004)], for the stability of solitary traveling waves in Hamiltonian, infinite-dimensional lattice dynamical systems. We discuss the ...
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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 ...
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Nonequivalence of phonon modes in the sine-Gordon equation
(2001)
We study the resonances in the sine-Gordon equation driven by an ac force using a linear perturbation theory. We show that resonances take place when the driving frequency d is equal to half of the phonon modes’ frequencies ...
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Coupled backward- and forward-propagating solitons in a composite right- and left-handed transmission line
(2013)
We study the coupling between backward- and forward-propagating wave modes, with the same group velocity, in a composite right- and left-handed nonlinear transmission line. Using an asymptotic multiscale expansion technique, ...
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Discrete breathers in a nonlinear electric line: modeling, computation, and experiment
(2011)
We study experimentally and numerically the existence and stability properties of discrete breathers in a periodic nonlinear electric line. The electric line is composed of single cell nodes, containing a varactor diode ...
Artículo
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Solitary waves in a discrete nonlinear Dirac equation
(2015)
In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the form of a discretization of the Gross – Neveu model. The motivation for this discrete model proposal is both computational ...
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Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
(Elsevier, 2020-09)
We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and ...
Artículo
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Rogue Waves in Ultracold Bosonic Seas
(Academiei Romane, 2018)
In this work, we numerically consider the initial value problem for nonlinear Schrodinger (NLS)-type models arising in the physics of ultracold bosonic gases, with generic Gaussian wavepacket initial data. The ...
Artículo
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Beating dark-dark solitons in Bose-Einstein condensates
(2012)
Motivated by recent experimental results, we study beating dark-dark solitons as a prototypical coherent structure that emerges in two-component Bose-Einstein condensates. We showcase their connection to dark- bright ...
Artículo
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Lockdown Measures and their Impact on Single- and Two-age-structured Epidemic Model for the COVID-19 Outbreak in Mexico
(BMJ and Yale, 2020-08)
The role of lockdown measures in mitigating COVID-19 in Mexico is investigated using a comprehensive nonlinear ODE model. The model includes both asymptomatic and presymptomatic populations with the latter leading to ...