Dynamics of Nonstationary Cylindrical Solitary Internal Waves

Dynamics of Nonstationary Cylindrical Solitary Internal Waves

An approximate analytical description of the nonstationary evolution of cylindrical nonlinear solitary waves with a complex structure is given. A modified Gardner equation with a boundary condition in the form of a “wide” soliton close to the limiting one is analyzed. The analysis shows a qualitativ...

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Bibliographic Details
Published in:Izvestiya. Atmospheric and oceanic physics Vol. 57; no. 2; pp. 170 - 179
Main Authors: Gorshkov, K. A., Ostrovsky, L. A., Soustova, I. A.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01-03-2021
Springer Nature B.V
Subjects:
Boundary conditions
Climatology
Cylindrical waves
Dynamics
Earth and Environmental Science
Earth Sciences
Geophysics/Geodesy
Internal waves
Qualitative analysis
Solitary waves
Solitons
divergence
internal waves
cylindrical convergence
solitons
kinks
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Summary:An approximate analytical description of the nonstationary evolution of cylindrical nonlinear solitary waves with a complex structure is given. A modified Gardner equation with a boundary condition in the form of a “wide” soliton close to the limiting one is analyzed. The analysis shows a qualitative difference in the behavior of converging and diverging waves, as well as a difference from the quasi-stationary dynamics of cylindrical solitons.
ISSN:0001-4338
1555-628X
DOI:10.1134/S0001433821020055