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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

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doi:10.5194/npg-2017-11
© Author(s) 2017. This work is distributed
under the Creative Commons Attribution 3.0 License.
Brief communication
06 Mar 2017
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This discussion paper is under review for the journal Nonlinear Processes in Geophysics (NPG).
Multiscaled Solitary Waves
Oleg G. Derzho Institute of Thermophysics, Russian Academy of Sciences, Novosibirsk, Russia
Abstract. It is analytically shown how competing nonlinearities yield new multiscaled (multi humped) structures for internal solitary waves in shallow fluids. These solitary waves only exist for large amplitudes beyond the limit of applicability of the KdV equation or its usual extensions. Multiscaling phenomenon exists or do not exist for almost identical density profiles. Trapped core inside the wave prevents appearance of such multiple scales within the core area. It is anticipated that multiscaling phenomena exist for solitary waves in various physical origins.

Citation: Derzho, O. G.: Multiscaled Solitary Waves, Nonlin. Processes Geophys. Discuss., doi:10.5194/npg-2017-11, in review, 2017.
Oleg G. Derzho
Oleg G. Derzho
Oleg G. Derzho

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Short summary
It is analytically shown how competing nonlinearities yield new multiscaled (multi humped) structures for internal solitary waves in shallow fluids. These solitary waves only exist for large amplitudes beyond the limit of applicability of the KdV equation or its usual extensions. Multiscaling phenomenon exists or do not exist for almost identical density profiles. Trapped core inside the wave prevents appearance of such multiple scales within the core area.
It is analytically shown how competing nonlinearities yield new multiscaled (multi humped)...
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