Părău EI. Solitary interfacial hydroelastic waves.
PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2018;
376:rsta.2017.0099. [PMID:
29229798 PMCID:
PMC5740295 DOI:
10.1098/rsta.2017.0099]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 08/23/2017] [Indexed: 06/07/2023]
Abstract
Solitary waves travelling along an elastic plate present between two fluids with different densities are computed in this paper. Different two-dimensional configurations are considered: the upper fluid can be of infinite extent, bounded by a rigid wall or under a second elastic plate. The dispersion relation is obtained for each case and numerical codes based on integro-differential formulations for the full nonlinear problem are derived.This article is part of the theme issue 'Nonlinear water waves'.
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