title: Nonlinear layered lattice model and generalized solitary waves in imperfectly bonded structures.
abstract: We study nonlinear waves in a two-layered imperfectly bonded structure using a nonlinear lattice model. The key element of the model is an anharmonic chain of oscillating dipoles, which can be viewed as a basic lattice analog of a one-dimensional macroscopic waveguide. Long nonlinear longitudinal waves in a layered lattice with a soft middle (or bonding) layer are governed by a system of coupled Boussinesq-type equations. For this system we find conservation laws and show that pure solitary waves, which exist in a single equation and can exist in the coupled system in the symmetric case, are structurally unstable and are replaced with generalized solitary waves.
authors.affiliation: Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom. k.khusnutdinova@lboro.ac.uk
authors.forename: Karima R
authors.initials: KR
authors.lastname: Khusnutdinova
authors.forename: Alexander M
authors.initials: AM
authors.lastname: Samsonov
authors.forename: Alexey S
authors.initials: AS
authors.lastname: Zakharov