Nonlinear layered lattice model and generalized solitary waves in imperfectly bonded structures.
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.
Khusnutdinova
Karima R
KR
Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, United Kingdom. k.khusnutdinova@lboro.ac.uk
Samsonov
Alexander M
AM
Zakharov
Alexey S
AS