Titlebook: Quodons in Mica; Nonlinear Localized Juan F. R. Archilla,Noé Jiménez,Luis M. García-Raf Book 2015 Springer International Publishing Switze

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Pattern Formation by Traveling Localized Modes in Two-Dimensional Dissipative Media with Lattice Potlular potential. The equation models laser cavities with built-in gratings, which stabilize 2D patterns. The pattern-building process is initiated by kicking a compound mode, in the form of a dipole, quadrupole, or vortex which is composed of four local peaks. The hopping motion of the kicked mode t

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A Numerical Study of Weak Lateral Dispersion in Discrete and Continuum Modelsdomtsev-Petviashvili I lump and its semi discrete analogue and show the formation of caustics, due to the emission of linear waves, in both cases. We perform numerical experiments in different settings. We show how impurities and prestress can produce new lumps in analogy with one dimensional solito

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medium

Moving Discrete Breathers in 2D and 3D Crystalslattices. Crystals can be regarded as anharmonic lattices and it is natural to expect that they support DB. The role of DB in the solid state physics is not yet well understood because their experimental detection is difficult. Nevertheless there exist a large number of theoretical works where the e

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Electron Transfer and Tunneling from Donor to Acceptor in Anharmonic Crystal Latticesht binding approximation and the lattice site dynamics follows the Morse potential. We focus on the transition time from donor to acceptor which is first determined analytically for a rigid lattice and then numerically from computer simulations of the full system at low temperature. For the paramete

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