Envelope Soliton as an Intrinsic Localized Mode in a One-Dimensional Nonlinear Lattice

抄録

An envelope soliton in a nonlinear lattice has been studied theoretically and numerically. First, the nonlinear Schrödinger equation describing a lattice wave with large wave number is derived and then the equation of motion for the nonlinear lattice is solved numerically taking the one envelope soliton solution of the nonlinear Schrödinger equation as an initial wave. It is shown that the envelope soliton with zero group velocity exists stably in the lattice and that the frequency of carrier wave is above the cut-off frequency of the lattice. An intrinsic localized mode in the nonlinear lattice developed by Takeno is pointed out to be the envelope soliton with zero group velocity.