Envelope Soliton as an Intrinsic Localized Mode in a One-Dimensional Nonlinear Lattice
- 15 January 1991
- journal article
- research article
- Published by Physical Society of Japan in Journal of the Physics Society Japan
- Vol. 60 (1) , 82-87
- https://doi.org/10.1143/jpsj.60.82
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- Localized Modes in the Long-Time Behavior of Anharmonic LatticesJournal of the Physics Society Japan, 1990
- Experiment on Lattice Soliton by Nonlinear LC Circuit –Observation of a Dark SolitonJournal of the Physics Society Japan, 1982
- Higher Order Approximation in the Reductive Perturbation Method. II. The Strongly Dispersive SystemJournal of the Physics Society Japan, 1978
- Computer-Simulated Scattering of Lattice Solitons from Impurity at Free BoundaryJournal of the Physics Society Japan, 1976
- Wave Modulations in Anharmonic LatticesProgress of Theoretical Physics, 1972
- Perturbation Method for a Nonlinear Wave Modulation. IJournal of Mathematical Physics, 1969