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Updated: May 31, 2026
08:54
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Published on: February 13, 2018
Two-dimensional generalized solitary waves and periodic waves under an ice sheet
Jean-Marc Vanden-Broeck1, Emilian I Părău
1Department of Mathematics, University College London, London WC1E 6BT, UK. broeck@math.ucl.ac.uk
Summary
This study investigates two-dimensional gravity waves under ice sheets, analyzing both weakly nonlinear and fully nonlinear solutions. Numerical methods reveal insights into periodic and solitary wave behaviors in this environment.
Area of Science:
- Fluid dynamics
- Geophysics
- Oceanography
Background:
- Ice sheets present unique environments for wave dynamics.
- Understanding wave propagation under ice is crucial for glaciology and oceanography.
- Potential flow assumptions simplify the complex fluid interactions.
Purpose of the Study:
- To investigate the behavior of two-dimensional gravity waves beneath an ice sheet.
- To derive and analyze weakly nonlinear and fully nonlinear wave solutions.
- To explore the characteristics of periodic and generalized solitary waves.
Main Methods:
- Derivation of weakly nonlinear solutions.
- Numerical calculation of fully nonlinear solutions.
- Analysis of wave propagation in a two-dimensional potential flow model.
Main Results:
- Characterization of periodic gravity waves under ice.
- Identification of generalized solitary wave solutions.
- Insights into the nonlinear dynamics of sub-ice wave phenomena.
Conclusions:
- Weakly and fully nonlinear theories provide valuable descriptions of sub-ice gravity waves.
- Periodic and solitary wave forms are significant in this geophysical context.
- Numerical simulations are essential for understanding complex nonlinear wave behaviors.
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