Forced and unforced flexural-gravity solitary waves

Guyenne, Philippe and Parau, Emilian ORCID: https://orcid.org/0000-0001-5134-2068 (2014) Forced and unforced flexural-gravity solitary waves. Procedia IUTAM, 11. pp. 44-57. ISSN 2210-9838

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Abstract

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 (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures
Depositing User:	Pure Connector
Date Deposited:	09 Jun 2014 13:34
Last Modified:	16 Nov 2024 00:39
URI:	https://ueaeprints.uea.ac.uk/id/eprint/48542
DOI:	10.1016/j.piutam.2014.01.047

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