Forced and Unforced Flexural-gravity Solitary Waves

Guyenne, P and Parau, Emilian ORCID: (2014) Forced and Unforced Flexural-gravity Solitary Waves. Procedia IUTAM, 11. pp. 44-57. ISSN 2210-9838

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Flexural-gravity waves beneath an ice sheet are investigated. Forced waves generated by a moving load as well as freely propagating solitary waves are considered for the nonlinear problem as proposed by Plotnikov and Toland [2011]. In the unforced case, a Hamiltonian reformulation of the governing equations is presented in three dimensions. A weakly nonlinear analysis is performed to derive a cubic nonlinear Schrödinger equation near the minimum phase velocity in two dimensions. Both steady and time-dependent fully nonlinear computations are presented in the two-dimensional case, and the influence of finite depth is also discussed.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: Pure Connector
Date Deposited: 09 Jun 2014 13:34
Last Modified: 24 Oct 2022 06:19
DOI: 10.1016/j.piutam.2014.01.047

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