Now showing items 1-20 of 124

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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 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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      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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      Book of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics  [Book]

      Palmero Acebedo, Faustino; Carmona Centeno, Victoriano; Casado Pascual, Jesús; Cuevas-Maraver, Jesús; Fernández Sánchez, Fernando; García Medina, Elisabeth; Lemos, M. Carmen; Quintero, Niurka R.; Sánchez-Rey, Bernardo; Archilla, Juan F. R.; Universidad de Sevilla. Departamento de Física Aplicada I (NoLineal 2016Juan F.R. Archilla, 2016-06-07)
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      Breather collisions: A survey of recent results  [Presentation]

      Cuevas-Maraver, Jesús (2005)
      We present some results on breather collisions in DNLS lattices, with special focus on systems with saturable nonlinearity. We also review some other works concerning to collisons in FPU and Klein-Gordon lattices, proposing ...
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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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      Breather trapping and breather transmission in a DNA model with an interface  [Article]

      Álvarez Chillida, María Azucena; Romero Romero, Francisco; Archilla, Juan F. R.; Cuevas-Maraver, Jesús; Larsen, Peter V. (2006)
      We study the dynamics of moving discrete breathers in an interfaced piecewise DNA molecule. This is a chain in which all the base pairs are identical and there exists a discontinuity in the orientation of the dipole moments ...
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      Breathers and kinks in a simulated crystal experiment  [Article]

      Dou, Qingxu; Cuevas-Maraver, Jesús; Eilbeck, J. Chris; Russell, F. Michael (American Institute of Mathematical Sciences, 2011)
      We develop a simple 1D model for the scattering of an incoming particle hitting the surface of mica crystal, the transmission of energy through the crystal by a localized mode, and the ejection of atom(s) at the incident ...
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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 FPU systems, near and far from the phonon band  [Presentation]

      Sánchez-Rey, Bernardo; Archilla, Juan F. R.; James, Guillaume; Cuevas-Maraver, Jesús (World Scientific, 2003)
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      Breathers in inhomogeneous nonlinear lattices : an analysis via centre manifold reduction  [Article]

      James, Guillaume; Sánchez-Rey, Bernardo; Cuevas-Maraver, Jesús (2009)
      We consider an infinite chain of particles linearly coupled to their nearest neighbors and subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous, i.e. coupling constants, particle masses and ...
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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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      Bright and dark breathers in Fermi-Pasta-Ulam lattices  [Article]

      Sánchez-Rey, Bernardo; James, Guillaume; Cuevas-Maraver, Jesús; Archilla, Juan F. R. (2004)
      In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers existence proof [G. James, C. R. ...
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      Classical and quantum nonlinear localized excitations in discrete systems  [Chapter of Book]

      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 exist and propagate in systems of coupled dynamical units. Recently, some experiments show the ...
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      Collective coordinates theory for discrete soliton ratchets in the sine-Gordon model  [Article]

      Sánchez-Rey, Bernardo; Quintero, Niurka R.; Cuevas-Maraver, Jesús; Alejo, Miguel A. (American Physical Society, 2014)
      A collective coordinate theory is developed for soliton ratchets in the damped discrete sine-Gordon model driven by a biharmonic force. An ansatz with two collective coordinates, namely the center and the width of the ...