Influence of nonlinearity

Abstract

The introduction of nonlinear terms at both macro-and micro-levels does not change the formalism of the internal variable approach. In the non-dissipative case, the nonlinear terms can be balanced with dispersion providing the well-known models of solitonic behavior. The interplay between micro-and macro-nonlinearities allows to achieve more sophisticated models of nonlinear dispersive wave propaga-tion than those in the homogeneous solids.