Advances in the contemporary physics have led to the discovery of new eleme
ntary mechanisms that determine on the molecular level the progression of m
any physical processes in crystals and other ordered molecular structures.
Early theoretical investigations of nonlinear dynamics of molecular chains(
1-4)) considered one-dimensional (spatially linear) models with the sign-po
sitive anharmonism, which only took into account the longitudinal displacem
ents of atoms (molecules) in the chain.