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- Stuart P. Cockburn, Hector E. Nistazakis, T. P. Horikis, PG Kevrekidis, Nick P. Proukakis, Dimitri J. Frantzeskakis
- Physical review letters
- 2010

The dynamics of dark matter-wave solitons in elongated atomic condensates are discussed at finite temperatures. Simulations with the stochastic Gross-Pitaevskii equation reveal a noticeable, experimentally observable spread in individual soliton trajectories, attributed to inherent fluctuations in both phase and density of the underlying medium. Averaging… (More)

- NL Tsitsas, T. P. Horikis, Yue-Long Shen, Panayotis G. Kevrekidis, DJ Frantzeskakis
- 2017

We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. In the frequency “band gaps” (where linear electromagnetic waves are evanescent) with linear effective permittivity ǫ < 0 and permeability μ > 0, we derive two short-pulse equations (SPEs) for the highand lowfrequency… (More)

The properties of the so-called regularized short pulse equation (RSPE) are explored with a particular focus on the traveling wave solutions of this model. We theoretically analyze and numerically evolve two sets of such solutions. First, using a fixed point iteration scheme, we numerically integrate the equation to find solitary waves. It is found that… (More)

- V. A. Achilleos, T. P. Horikis, G. Theocharis, Panayotis G. Kevrekidis, Dimitri J. Frantzeskakis
- Mathematics and Computers in Simulation
- 2012

- V. A. Achilleos, A. R. Bishop, +4 authors PG Kevrekidis
- Physical review. E
- 2016

The dynamical behavior of a higher-order cubic Ginzburg-Landau equation is found to include a wide range of scenarios due to the interplay of higher-order physically relevant terms. We find that the competition between the third-order dispersion and stimulated Raman scattering effects gives rise to rich dynamics: this extends from Poincaré-Bendixson-type… (More)

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