Forced and unforced flexural-gravity solitary waves

Philippe Guyenne, Emilian Parau

Research output: Contribution to journalSpecial issuepeer-review

18 Citations (Scopus)
10 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)44-57
Number of pages14
JournalProcedia IUTAM
Publication statusPublished - 2014

Cite this