Abstract.
The structure of the velocity field induced by internal solitary waves of the first and second modes is determined. The contribution from second-order terms in asymptotic expansion into the horizontal velocity is estimated for the models of almost two- and three-layer fluid for solitons of positive and negative polarity. The influence of the nonlinear correction manifests itself firstly in the shape of the lines of zero horizontal velocity: they are curved and the shape depends on the soliton amplitude and polarity, while for the leading-order wave field they are horizontal. Also the wave field accounting for the nonlinear correction for mode I has smaller maximal absolute values of negative velocities (near-surface for the soliton of elevation, and near-bottom for the soliton of depression) and larger maximums of positive velocities. For solitary waves of negative polarity, which are the most typical for hydrological conditions in the ocean for low and middle latitudes, the situation is the opposite. The velocity field of the mode-II soliton in a smoothed two-layer fluid reaches its maximal absolute values in a middle layer instead of near-bottom and near-surface maximums for mode-I solitons.
Graphical abstract
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
C.R. Jackson, An Atlas of Internal Solitary-like Waves and Their Properties, 2nd edition (Global Ocean Associates, 2004)
O.E. Kurkina et al., JETP Lett. 95, 91 (2012)
T.G. Talipova et al., Izv. Atmos. Ocean. Phys. 51, 89 (2015)
E. Rouvinskaya, Cont. Shelf Res. 110, 60 (2015)
V. Vlasenko, P. Brandt, A. Rubino, J. Phys. Oceanogr. 30, 2172 (2000)
E. Rouvinskaya, O. Kurkina, A. Kurkin, Bulletin of Moscow State Regional University, Series “Physics and Mathematics” Vol. 2 (2011) p. 61
E. Pelinovsky, Solitary Waves in Fluids (WIT Press, Boston, Southampton, 2007) Chapt. 4
O. Kurkina et al., Nonlinear Process. Geophys. 24, 645 (2017)
Y.J. Yang et al., Nonlinear Process. Geophys. 17, 605 (2010)
O. Kurkina et al., Nonlinear Process. Geophys. 22, 117 (2015)
O.E. Kurkina et al., Oceanology 56, 767 (2016)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kurkina, O., Rouvinskaya, E., Kurkin, A. et al. Vertical structure of the velocity field induced by mode-I and mode-II solitary waves in a stratified fluid. Eur. Phys. J. E 41, 47 (2018). https://doi.org/10.1140/epje/i2018-11654-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epje/i2018-11654-3