Abstract
A class of nonintegrable equations related to a wide range of physical problems including surface and internal waves in rotating ocean is considered. A characteristic feature of these equations is the presence of a broad “dispersionless” band in the frequency spectrum that separates the regions of low- and high-frequency dispersion. The structures of plane and two-dimensional steady-state solutions are studied analytically and numerically. Results of the numerical calculations of non-stationary perturbation dynamics under different initial conditions are presented.
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Ostrovsky, L.A., Stepanyants, Y.A. (1990). Nonlinear Surface and Internal Waves in Rotating Fluids. In: Gaponov-Grekhov, A.V., Rabinovich, M.I., Engelbrecht, J. (eds) Nonlinear Waves 3. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75308-4_10
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DOI: https://doi.org/10.1007/978-3-642-75308-4_10
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