Now showing items 1-9 of 9

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      A lower bound for the power of periodic solutions of the defocusing discrete nonlinear Schrodinger equation  [Article]

      Karachalios, Nikolaos I.; Cuevas-Maraver, Jesús; Eilbeck, J. Chris (2008)
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      Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping  [Article]

      Karachalios, Nikolaos I.; Sánchez-Rey, Bernardo; Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús (2013)
      We discuss the existence of breathers and lower bounds on their power, in nonlinear Schrödinger lattices with nonlinear hopping. Our methods extend from a simple variational approach to fixed-point arguments, deriving lower ...
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      Discrete solitons in optical BEC lattices. Effects of n-body interactions  [Presentation]

      Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Karachalios, Nikolaos I.; Melvin, Thomas R.O.; Champneys, A. R.; Eilbeck, J. Chris (2006)
      In this poster we show some recent results concerning discrete solitons in strong optical lattices, which can be described by the Discrete Nonlinear Schrödinger equation. These results are related to a variation of this ...
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      Energy thresholds for the existence of breather solutions and traveling waves on lattices  [Article]

      Cuevas-Maraver, Jesús; Karachalios, Nikolaos I.; Palmero Acebedo, Faustino (2010)
      We discuss the existence of breathers and of energy thresholds for their formation in DNLS lattices with linear and nonlinear impurities. In the case of linear impurities we present some new results concerning important ...
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      Escape dynamics in the discrete repulsive φ4 model  [Article]

      Achilleos, V. A.; Álvarez Chillida, María Azucena; Cuevas-Maraver, Jesús; Frantzeskakis, Dimitri J.; Karachalios, Nikolaos I.; Kevrekidis, Panayotis G.; Sánchez-Rey, Bernardo (2013)
      We study deterministic escape dynamics of the discrete Klein-Gordon model with a repulsive quartic on-site potential. Using a combination of analytical techniques, based on differential and algebraic inequalities and ...
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      Floquet analysis of Kuznetsov-Ma breathers: A path towards spectral stability of rogue waves  [Article]

      Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Karachalios, Nikolaos I.; Haragus, Mariana; James, Guillaume (American Physical Society, 2017)
      In the present work, we aim at taking a step towards the spectral stability analysis of Peregrine solitons, i.e., wave structures that are used to emulate extreme wave events. Given the space-time localized nature of ...
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      Lower and upper estimates on the excitation threshold for breathers in DNLS lattices  [Article]

      Cuevas-Maraver, Jesús; Karachalios, Nikolaos I.; Palmero Acebedo, Faustino (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 ...
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      Supersonic Kinks in Coulomb lattices  [Chapter of Book]

      Archilla, Juan F. R.; Kosevich, Yuriy A.; Jiménez, Noé; Sánchez Morcillo, Víctor J.; García Raffi, Luis M. (Springer International Publishing, 2014)
      There exist in nature examples of lattices of elements for which the interaction is repulsive, the elements are kept in place because different reasons, as border conditions, geometry (e.g., circular) and, certainly, the ...
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      Thresholds for breather solutions of the discrete nonlinear Schrödinger equation with saturable and power nonlinearity  [Article]

      Cuevas-Maraver, Jesús; Eilbeck, J. Chris; Karachalios, Nikolaos I. (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 ...