Propagation of Weakly Nonlinear Internal Wave Packets in the Ocean

2001 ◽  
pp. 259-290
Author(s):  
Yu. Z. Miropol’sky ◽  
O. D. Shishkina
Keyword(s):  
Internal Wave ◽  
Wave Packets ◽  
Nonlinear Internal Wave ◽  
Weakly Nonlinear

Modelling and observations of oceanic nonlinear internal wave packets affected by the Earth’s rotation

2017 ◽  
Vol 116 ◽  
pp. 146-158 ◽  
Author(s):  
Roger Grimshaw ◽  
Jose C. B. da Silva ◽  
Jorge M. Magalhaes
Keyword(s):  
Internal Wave ◽  
Wave Packets ◽  
Earth’S Rotation ◽  
Earth's Rotation ◽  
Nonlinear Internal Wave

Weakly nonlinear internal wave fronts trapped in contractions

2000 ◽  
Vol 415 ◽  
pp. 323-345 ◽  
Author(s):  
S. R. CLARKE ◽  
R. H. J. GRIMSHAW
Keyword(s):  
Internal Wave ◽  
Solitary Waves ◽  
Variable Coefficient ◽  
Vries Equation ◽  
Wave Fronts ◽  
Nonlinear Internal Wave ◽  
Weakly Nonlinear ◽  
Virtual Control ◽  
De Vries

The propagation of weakly nonlinear, long internal wave fronts in a contraction is considered in the transcritical limit as a model for the establishment of virtual controls. It is argued that the appropriate equation to describe this process is a variable coefficient Korteweg–de Vries equation. The solutions of this equation are then considered for compressive and rarefaction fronts. Rarefaction fronts exhibit both normal and virtual control solutions. However, the interaction of compressive fronts with contractions is intrinsically unsteady. Here the dynamics take two forms, interactions with the bulk of the front and interactions with individual solitary waves separating off from a front trapped downstream of the contraction.

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