title: Acoustic vector solitons.
abstract: A theory of an acoustic vector soliton of self-induced transparency is constructed. By using the perturbative reduction method the magnetic Bloch equations and the equation of motion for the displacement field for the small area pulse are reduced to a system of two coupled nonlinear Schrödinger equations. The shape of an acoustic vector soliton with the sum and difference of the frequencies is presented. Explicit analytical expressions for the parameters of an acoustic vector soliton are obtained as well as simulations of an acoustic vector soliton presented with realistic parameters which can be reached in experiments. It is shown that the vector soliton in the special case can be reduced to the breather solution, and these nonlinear waves have different profiles.
authors.affiliation: Technical University of Georgia, Kostava str. 77, Tbilisi, 0179, Georgia. gadama@parliament.ge
authors.forename: G T
authors.initials: GT
authors.lastname: Adamashvili
mesh_terms: D000162:Acoustics; D003198:Computer Simulation; D008962:Models, Theoretical; D012542:Scattering, Radiation