Waves in Nonlinear Lattice

Abstract

In this article waves in nonlinear lattice or in nonlinear medium are studied. One of the aims is to seek for the point of view to deal with the great majority of phenomena related to nonlinear waves in general. For one dimensional nonlinear lattice analytic and computer-experimental treatments have been developed. It has been found that a certain kind of pulse-like waves (solitons) is the fundamental motion in nonlinear lattice vibration. If two or more solitons collide, they interact non-linearly, pass through one another and, when they separate, return to their original forms. Thus solitons are conserved and behave like particles.

Identifiers

DOI

10.1143/ptps.45.174

Citations and references