Scattering of an Ostrovsky wave packet in a delaminated waveguide

We examine the scattering of an Ostrovsky wave packet, generated from a solitary wave, in two layered waveguide with delamination centre and soft (imperfect) bonding either side centre. The lower layer is assumed to be significantly denser than upper layer, leading system Boussinesq–Klein–Gordon (BKG) equations. Direct numerical modelling difficult so semi-analytical approach consisting several matched asymptotic multiple-scale expansions used, which leads equations bonded regions Korteweg–de Vries delaminated region. direct simulations are good agreement each other theoretical estimates. dispersion relations used estimate speed hence classify length delamination, addition changes amplitude packet. also show how scale non-dimensional results material variables example for PMMA presented. These can provide tool control integrity structures. • Longitudinal propagation studied. A weakly-nonlinear solution constructed, agrees simulations. Generated packets fission into solitons regions. Delamination inferred packet amplitude/position. An bar presented, motivating experiments confirm theory.