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Sine-Gordon Equation: From Discrete to Continuum
(Springer International Publishing, 2014)
In the present Chapter, we consider two prototypical Klein-Gordon models: the integrable sine- Gordon equation and the non-integrable φ4 model. We focus, in particular, on two of their prototypical solutions, namely the ...
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Symmetry-breaking Effects for Polariton Condensates in Double-Well Potentials
(Springer Verlag, 2012)
We study the existence, stability, and dynamics of symmetric and anti-symmetric states of quasi-one-dimensional polariton condensates in double-well potentials, in the presence of nonresonant pumping and nonlinear damping. ...
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Solitary Waves in the Nonlinear Dirac Equation at the Continuum Limit: Stability and Dynamics
(Nova, 2015)
In the present work, we give a comparative summary of different recent contributions to the theme of the linear stability and nonlinear dynamics of solitary waves in the nonlinear Dirac equation in the form of the Gross-Neveu ...
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Nonlinearity and Topology
(Springer Nature, 2020)
The interplay of nonlinearity and topology results in many novel and emergent properties across a number of physical systems such as chiral magnets, nematic liquid crystals, Bose-Einstein condensates, photonics, high ...
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Discrete breathers in Φ4 and related models
(Springer Nature, 2019)
In this Chapter, we touch upon the wide topic of discrete breather (DB) formation with a special emphasis on the prototypical system of interest, namely the 4 model. We start by introducing the model and discussing some ...
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Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials
(Springer Nature Singapure, 2018)
The subject of PT -symmetry and its areas of application have been blossoming over the past decade. Here, we consider a nonlinear Schrödinger model with a complex potential that can be tuned controllably away from being ...
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DNLS with Impurities
(Springer, 2009)
The past few years have witnessed an explosion of interest in discrete models and intrinsic localized modes (discrete breathers or solitons) that has been summarized in a number of recent reviews [1–3]. This growth has ...
Capítulo de Libro
Solitary waves in the Nonlinear Dirac Equation
(Springer Nature Switzerland AG, 2018)
In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacting spinors, and discuss its localized ...