Abstract
This chapter discusses the application of a synergetic approach to the problems of nonlinear dispersive wave propagation and interaction. The synergetic approach to nonlinear problems was first formulated by von Neumann and it was enunciated in the works of von Neumann and his collaborators in the mid-forties. The synergetic approach to nonlinear mathematical and physical problems can be defined as the simultaneous use of conventional analysis and computer numerical mathematics to obtain solutions to judiciously posed problems concerning the mathematical and physical content of a set of equations. The chapter discusses the study of wave propagation and interaction in a one-dimensional nonlinear—anharmonic—lattice.
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