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      Classical and quantum nonlinear localized excitations in discrete systems 

      Romero Romero, Francisco; Archilla, Juan F. R.; Palmero Acebedo, Faustino; Sánchez-Rey, Bernardo; Álvarez Chillida, María Azucena; Cuevas-Maraver, Jesús; Romero Romero, José María (Transworld Research Network, 2005)
      Discrete breathers, or intrinsic localized modes, are spatially localized, time–periodic, nonlinear excitations that can ...
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      Discrete breathers in Φ4 and related models 

      Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G. (Springer Nature, 2019)
      In this Chapter, we touch upon the wide topic of discrete breather (DB) formation with a special emphasis on the prototypical ...
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      DNLS with Impurities 

      Cuevas-Maraver, Jesús; Palmero Acebedo, Faustino (Springer, 2009)
      The past few years have witnessed an explosion of interest in discrete models and intrinsic localized modes (discrete ...
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      Moving breather collisions in the Peyrard-Bishop DNA model 

      Álvarez Chillida, María Azucena; Romero Romero, Francisco; Cuevas-Maraver, Jesús; Archilla, Juan F. R. (Springer, 2009)
      We consider collisions of moving breathers (MBs) in the Peyrard-Bishop DNA model. Two identical stationary breathers, ...
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      Nonlinear Beam Propagation in a Class of Complex Non-PT -Symmetric Potentials 

      Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Kominis, Yannis (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 ...
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      Nonlinearity and Topology 

      Saxena, Avadh; Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús (Springer Nature, 2020)
      The interplay of nonlinearity and topology results in many novel and emergent properties across a number of physical ...
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      Sine-Gordon Equation: From Discrete to Continuum 

      Chirilus-Bruckner, Martina; Chong, Christopher; Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús (Springer International Publishing, 2014)
      In the present Chapter, we consider two prototypical Klein-Gordon models: the integrable sine- Gordon equation and the ...
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      Solitary waves in the Nonlinear Dirac Equation 

      Cuevas-Maraver, Jesús; Boussaïd, Nabile; Comech, Andrew; Lan, Ruomeng; Kevrekidis, Panayotis G.; Saxena, Avadh (Springer Nature Switzerland AG, 2018)
      In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. ...
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      Symmetry-breaking Effects for Polariton Condensates in Double-Well Potentials 

      Rodrigues, Augusto S.; Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús; Carretero-González, Ricardo; Frantzeskakis, Dimitri J. (Springer Verlag, 2012)
      We study the existence, stability, and dynamics of symmetric and anti-symmetric states of quasi-one-dimensional polariton ...