Titlebook: Nonlinear Science at the Dawn of the 21st Century; P. L. Christiansen,M. P. S?rensen,A. C. Scott Conference proceedings 2000 Springer-Verl

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Dynamics of Vortices in Two-Dimensional Magnetsthe classical two-dimensional anisotropic Heisenberg model with . (easy-plane) symmetry. There are two types of vortices, characterized by their polarization (a second topological charge in addition to the vorticity): Planar vortices have Newtonian dynamics (evenorder equations of motion) and exhibi

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Spatial Optical Solitonsnisms of self-trapping and different types of self-trapped beams, ., and their stability are discussed including solitons of non-Kerr media, self-trapped beams and their spiralling in photorefractive crystals, multi-hump solitons and solitonic gluons, discrete solitons in wave guide arrays, etc. A b

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Nonlinear Fiber Optics beginning to 1961, when a ruby laser was first used to generate the second-harmonic radiation inside a crystal [.], the use ofoptical fibers as a nonlinear medium became feasible only after 1970 when fiber losses were reduced to below 20 dB/km [.]. Stimulated Raman and Brillouin scatterings in sing

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Coherent Structures in Dissipative Nonlinear Optical Systems can collapse to a localized hot spot after propagating some finite distance. Here the nonlinear optical interaction is local and assumed to be instantaneous. In a wide aperture semiconductor laser, the self-focusing nonlinearity is sluggish, responding to the relatively slow motion of the total car

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Solitons in Optical Media with Quadratic Nonlinearitylutions to these models is given. Included are two- and three-wave models, gap solitons, linearly coupled waveguides with an intrinsic quadratic nonlinearity,m ultidimensional “l(fā)ight bullets”, two-soliton bound states (which are always unstable in the usual SHG models,but may be stable in the SHG mo

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2-D Breathers and Applicationscrystals of muscovite mica. In fact, it was the conjecture that some kind of quasi-one-dimensional lattice soliton was responsible for those lines which led to the discovery of this new family of lattice excitations: mobile localized breathers of longitudinal type..We explore several properties of t

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Noise in Molecular Systemswill focus on simple systems constituted of particles in periodic non-symmetric potentials under the influence of non-equilibrium noise. The resulting ratchet or motor motion is manifested through nonzero persistent particle currents. These model systems are not dissimilar to motor proteins executin