Articles | Volume 29, issue 2
Nonlin. Processes Geophys., 29, 207–218, 2022
https://doi.org/10.5194/npg-29-207-2022
Nonlin. Processes Geophys., 29, 207–218, 2022
https://doi.org/10.5194/npg-29-207-2022
Research article
 | Highlight paper
15 Jun 2022
Research article  | Highlight paper | 15 Jun 2022

Effects of rotation and topography on internal solitary waves governed by the rotating Gardner equation

Karl R. Helfrich and Lev Ostrovsky

Related subject area

Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Climate, atmosphere, ocean, hydrology, cryosphere, biosphere | Techniques: Theory
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Cited articles

Alford, M., Lien, R.-C., Simmons, H., Klymak, J., Ramp, S., Yang, Y. J., Tang, D., and Chang, M.-H.: Speed and evolution of nonlinear internal waves transiting the South China Sea, J. Phys. Oceano., 121, 1338–1355, https://doi.org/10.1175/2010JPO4388.1, 2010. a
Alias, A., Grimshaw, R. H. J., and Khusnutdinova, K. R.: Coupled Ostrovsky equations for internal waves in a shear flow, Phys. Fluids, 26, 126603, https://doi.org/10.1063/1.4903279, 2014. a, b
Apel, J. R., Ostrovsky, L. A., Stepanyants, Y. A., and Lynch, J. F.: Internal solitons in the ocean and their effect on underwater sound, J. Acoust. Soc. Am., 121, 695–722, https://doi.org/10.1121/1.2395914, 2007. a
Farmer, D., Li, Q., and Park, J.-H.: Internal wave observations in the South China Sea: the role of rotation and nonlinearity, Atmos.-Ocean, 47, 267–280, https://doi.org/10.3137/OC313.2009, 2009. a
Grimshaw, R., He, J.-M., and Ostrovsky, L.: Terminal damping of a solitary wave due to radiation in rotational systems, Stud. Appl. Math, 101, 197–210, 1998a. a, b
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Short summary
Internal solitons are an important class of nonlinear waves commonly observed in coastal oceans. Their propagation is affected by the Earth's rotation and the variation in the water depth. We consider an interplay of these factors using the corresponding extension of the Gardner equation. This model allows a limiting soliton amplitude and the corresponding increase in wavelength, making the effects of rotation and topography on a shoaling wave especially significant.