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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 solitary waves.
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.
Version: Published
DOI: 10.1103/PhysRevE.79.056606
URI: https://dspace.lboro.ac.uk/2134/15729
Publisher Link: http://dx.doi.org/10.1103/PhysRevE.79.056606
ISSN: 1539-3755
Appears in Collections:Published Articles (Maths)

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