Nonlinear collective excitations in quasi-one-dimensional structures with spatial dispersion

Abstract

yesIt is demonstrated that a description of the effects of higher-order dispersion of continuous oscillations calls for a consideration of interactions with the nearest and more distant neighbors in a crystal lattice. Exact soliton and periodic solutions of the nonlinear equation with fourth-order derivatives describing long-wavelength collective excitations in a quasi-one-dimensional chain have been foundBelgorod State Universit