Internal solitons in the ocean and their effect on underwater sound

JR Apel, LA Ostrovsky, YA Stepanyants… - The Journal of the …, 2007 - pubs.aip.org
Nonlinear internal waves in the ocean are discussed (a) from the standpoint of soliton theory
and (b) from the viewpoint of experimental measurements. First, theoretical models for …

Simulation of the transformation of internal solitary waves on oceanic shelves

R Grimshaw, E Pelinovsky, T Talipova… - Journal of physical …, 2004 - journals.ametsoc.org
Internal solitary waves transform as they propagate shoreward over the continental shelf into
the coastal zone, from a combination of the horizontal variability of the oceanic hydrology …

Internal solitons in the ocean

JR Apel, LA Ostrovsky, YA Stepanyants - The Journal of the Acoustical …, 1995 - pubs.aip.org
The well-known Garrett and Munk description of the internal wave spectrum synthesizes
many observations into a spectral model that reproduces the general features of the mid …

Study on applicability of internal solitary wave theories by theoretical and numerical method

J Cui, S Dong, Z Wang - Applied Ocean Research, 2021 - Elsevier
It is essential to distinguish the applicable range of theories of internal solitary waves (ISWs).
Numerous numerical simulations and theoretical calculations with wide ranging thickness …

Beyond the KdV: Post-explosion development

L Ostrovsky, E Pelinovsky, V Shrira… - … Journal of Nonlinear …, 2015 - pubs.aip.org
Several threads of the last 25 years' developments in nonlinear wave theory that stem from
the classical Korteweg–de Vries (KdV) equation are surveyed. The focus is on various …

Breather generation in fully nonlinear models of a stratified fluid

KG Lamb, O Polukhina, T Talipova, E Pelinovsky… - Physical Review E …, 2007 - APS
Nonlinear wave motion is studied in a symmetric, continuously stratified, smoothed three-
layer fluid in the framework of the fully nonlinear Euler equations under the Boussinesq …

The role of the free surface on interfacial solitary waves

G La Forgia, G Sciortino - Physics of Fluids, 2019 - pubs.aip.org
We investigated theoretically and experimentally internal solitary waves (ISWs) in a two-
layer fluid system with a top free surface. Laboratory experiments are performed by lock …

Dispersive dam-break and lock-exchange flows in a two-layer fluid

JG Esler, JD Pearce - Journal of Fluid Mechanics, 2011 - cambridge.org
Dam-break and lock-exchange flows are considered in a Boussinesq two-layer fluid system
in a uniform two-dimensional channel. The focus is on inviscid 'weak'dam breaks or lock …

Internal solitary waves

E Pelinovsky, O Polukhina, A Slunyaev… - Solitary waves in …, 2007 - books.google.com
In this chapter we review various approximate models (from weakly to strongly nonlinear)
describing internal solitary waves in the density-stratified fluids. The waves may have …

Bell-polynomial approach applied to the seventh-order Sawada–Kotera–Ito equation

YJ Shen, YT Gao, X Yu, GQ Meng, Y Qin - Applied Mathematics and …, 2014 - Elsevier
In this paper, the Bell-polynomial approach is extended to the seventh-order Sawada–
Kotera–Ito equation which is regarded as a higher-order integrable one in the Korteweg-de …