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|Title: ||Nonlinear layered lattice model and generalized solitary waves in imperfectly bonded structures|
|Authors: ||Khusnutdinova, Karima R.|
Samsonov, Alexander M.
Zakharov, Alexey S.
|Issue Date: ||2009|
|Publisher: ||© American Physical Society|
|Citation: ||KHUSNUTDINOVA, K.R., SAMSONOV, A.M. and ZAKHAROV, A.S., 2009. Nonlinear layered lattice model and generalized solitary waves in imperfectly bonded structures. Physical Review E, 79, 056606, 14pp.|
|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
|Sponsor: ||We thank E.S. Benilov, R.H.J. Grimshaw and A.B.
Movchan for useful discussions. The research was supported
by the UK EPSRC under Grant No. EP/D035570/1.|
|Publisher Link: ||http://dx.doi.org/10.1103/PhysRevE.79.056606|
|Appears in Collections:||Published Articles (Maths)|
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