Development of the Theory of a Nonlinear Lattice

Abstract

An extensive account of the exact theory of wave propagation in the one-dimensional nonlinear lattice with exponential interaction between nearest neighbor particles is given. A brief review of the development, useful particular solutions, the general method of solving the equations of motion and the relation between the discrete lattice and the continuous Korteweg-de Vries system are given, with some future aspect of the problems of nonlinear lattices.