Light bullets in a disordered system of carbon nanotubes

Abstract

An extension of the nonlinear Schrodinger equations was introduced by Laskin in , in the form of a fractional equation:As is known, solitons are eigenmodes of problems arising in dispersive nonlinear media. Examples of such problems can be Bose-Einstein condensates, optical waveguides and a system of carbon nanotubes. Note that the latter system was considered in the approximation when carbon nanotubes are evenly distributed over the sample volume. In addition, an equation was obtained for carbon nanotube systems, which is a generalization of the nonlinear Schrodinger equation. Nonlinear Schrodinger equations (NUS), with focusing or defocusing nonlinearity, are universal models that make it possible to consider solitons of all personal types. Varieties of solitons can be radically supplemented in spatially inhomogeneous conditions . Usually nonlinear lattices are used, i.e. periodically spatially modulated changes in the nonlinearity coefficient.