Now showing items 1-20 of 73

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      A Korteweg-de Vries description of dark solitons in polariton superfluids  [Article]

      Carretero-González, Ricardo; Cuevas-Maraver, Jesús; Frantzeskakis, Dimitri J.; Horikis, T. P.; Kevrekidis, Panayotis G.; Rodrigues, Augusto S. (Elsevier, 2017)
      We study the dynamics of dark solitons in an incoherently pumped exciton-polariton condensate by means of a system composed by a generalized open-dissipative Gross-Pitaevskii equation for the polaritons’ wavefunction and ...
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      A PT-Symmetric Dual-Core System with the Sine-Gordon Nonlinearity and Derivative Coupling  [Article]

      Cuevas-Maraver, Jesús; Malomed, Boris A.; Kevrekidis, Panayotis G. (MDPI, 2016)
      As an extension of the class of nonlinear PT-symmetric models, we propose a system of sine-Gordon equations, with the PT symmetry represented by balanced gain and loss in them. The equations are coupled by sine-field terms ...
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      An energy-based stability criterion for solitary traveling waves in Hamiltonian lattices  [Article]

      Xu, Haitao; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna (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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      Approximation of solitons in the discrete NLS equation  [Article]

      Cuevas-Maraver, Jesús; James, Guillaume; Kevrekidis, Panayotis G.; Malomed, Boris A.; Sánchez-Rey, Bernardo (World Scientific, 2008)
      We study four diferent approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational ...
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      Atomic Dark-Bright Solitons: Theory and Experiments  [Presentation]

      Frantzeskakis, Dimitri J.; Kevrekidis, Panayotis G.; Yan, Dong; Carretero-González, Ricardo; Hoefer, Mark A.; Engels, Peter; Chang, J. J.; Hamner, Chris R.; Schmelcher, P.; Middelkamp, S.; Stockhofe, J.; Cuevas-Maraver, Jesús; Álvarez Chillida, María Azucena; Achilleos, Vassos; Rothos, Vassilis M.V (2012)
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      Beating dark-dark solitons in Bose-Einstein condensates  [Article]

      Yan, Dong; Chang, J. J.; Hamner, Chris R.; Hoefer, Mark A.; Kevrekidis, Panayotis G.; Engels, Peter; Achilleos, Vassos; Frantzeskakis, Dimitri J.; Cuevas-Maraver, Jesús (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 ...
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      Breather statics and dynamics in Klein-Gordon chains with a bend  [Article]

      Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G. (2004)
      In this paper, we examine a nonlinear model with an impurity emulating a bend. We justify the geometric interpretation of the model and connect it with earlier work on models including geometric effects. We focus on both ...
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      Breathers and surface modes in oscillator chains with Hertz ian interactions  [Presentation]

      James, Guillaume; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G. (NOLTA, 2012)
      We study localized waves in chains of oscillators coupled by Hertzian interactions and trapped in local potentials. This problem is originally motivated by Newton's cradle, a mechanical system consisting of a chain of ...
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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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      Breathers in oscillator chains with Hertzian interactions  [Article]

      James, Guillaume; Kevrekidis, Panayotis G.; Cuevas-Maraver, Jesús (2013)
      We prove nonexistence of breathers (spatially localized and time-periodic oscillations) for a class of Fermi-Pasta-Ulam lattices representing an uncompressed chain of beads interacting via Hertz's contact forces. We then ...
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      Continuous families of solitary waves in non-symmetric complex potentials: A Melnikov theory approach  [Article]

      Kominis, Yannis; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Bountis, Anastassios (Elsevier, 2019)
      The existence of stationary solitary waves in symmetric and non-symmetric complex potentials is studied by means of Melnikov’s perturbation method. The latter provides analytical conditions for the existence of such waves ...
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      Coupled backward- and forward-propagating solitons in a composite right- and left-handed transmission line  [Article]

      Veldes, Giorgios P.; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J. (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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      Dark lattice solitons in one-dimensional waveguide arrays with defocusing saturable nonlinearity and alternating couplings  [Article]

      Kanshu, Andrey V.; Rüter, Christian E.; Kip, Detlef; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G. (2012)
      In the present work, we examine “binary” waveguide arrays, where the coupling between adjacent sites alternates between two distinct values C1 and C2 and a saturable nonlinearity is present on each site. Motivated by ...
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      Dark-bright discrete solitons: a numerical study of existence, stability and dynamics  [Article]

      Álvarez Chillida, María Azucena; Cuevas-Maraver, Jesús; Romero Romero, Francisco; Kevrekidis, Panayotis G. (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 ...
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      Dark-bright gap solitons in coupled-mode one-dimensional saturable waveguide arrays  [Article]

      Dong, Rong; Rüter, Christian E.; Kip, Detlef; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Song, Daohong; Xu, Jingjun (2011)
      In the present work, we consider the dynamics of dark solitons as one mode of a defocusing photorefractive lattice coupled with bright solitons as a second mode of the lattice. Our investigation is motivated by an experiment ...
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      Discrete breathers in a forced-damped array of coupled pendula: modeling, computation, and experiment  [Article]

      Cuevas-Maraver, Jesús; English, Lars Q.; Kevrekidis, Panayotis G.; Anderson, M. (2009)
      In this work, we present a mechanical example of an experimental realization of a stability reversal between on-site and intersite centered localized modes. A corresponding realization of a vanishing of the Peierls-Nabarro ...
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      Discrete breathers in a nonlinear electric line: modeling, computation, and experiment  [Article]

      Palmero Acebedo, Faustino; English, Lars Q.; Cuevas-Maraver, Jesús; Carretero-González, Ricardo; Kevrekidis, Panayotis G. (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 ...
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      Discrete breathers in Φ4 and related models  [Chapter of Book]

      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 system of interest, namely the 4 model. We start by introducing the model and discussing some ...
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      Discrete peakons  [Article]

      Comech, Andrew; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G. (2005-08-01)
      We demonstrate the possibility for explicit construction in a discrete Hamiltonian model of an exact solution of the form exp⁡(−|n|), i.e., a discrete peakon. These discrete analogs of the well-known, continuum peakons of ...
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      Discrete solitons in nonlinear Schrödinger lattices with a power-law nonlinearity  [Article]

      Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Frantzeskakis, Dimitri J.; Malomed, Boris A. (2009)
      We study the discrete nonlinear Schrödinger lattice model with the onsite nonlinearity of the general form, |u|2σu|u|2σu. We systematically verify the conditions for the existence and stability of discrete solitons in the ...