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Internal Wave Breathers in the Slightly Stratified Fluid

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Abstract

The theory of long nonlinear oscillating wave packets (breathers) in a stratified fluid with a small density difference in a gravitational field is developed. The theory is based on the Gardner equation and its modifications, which are fully integrable with modern methods of the nonlinear wave theory. Examples of the breather generation are given and the conditions for their stability are discussed.

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Acknowledgements

The studies in section 3 were supported by the Russian Science Foundation (grant No 19-12-00253). The modeling used in section 4 is carried out with the financial support of the Russian Foundation for Basic Research (grant No 19-02-00111).

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Authors and Affiliations

  1. Institute of Applied Physics RAS, 603950 46 Ul’yanov str., Nizhny Novgorod, Russia

    Tatiana Talipova, Ekaterina Didenkulova & Efim Pelinovsky

  2. Nizhny Novgorod State Technical University, n.a. R.Е. Alekseev, 603950 24 Minin str., Nizhny Novgorod, Russia

    Tatiana Talipova, Oxana Kurkina, Andrey Kurkin, Ekaterina Didenkulova & Efim Pelinovsky

  3. National Research University – Higher School of Economics, 101000 20 Myasnitskaya str., Moscow, Russia

    Efim Pelinovsky

Authors
  1. Tatiana Talipova
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  2. Oxana Kurkina
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  4. Ekaterina Didenkulova
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  5. Efim Pelinovsky
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Correspondence to Ekaterina Didenkulova.

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This article belongs to the Topical Collection: Multiphase Fluid Dynamics in Microgravity

Guest Editors: Tatyana P. Lyubimova, Jian-Fu Zhao

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Talipova, T., Kurkina, O., Kurkin, A. et al. Internal Wave Breathers in the Slightly Stratified Fluid. Microgravity Sci. Technol. 32, 69–77 (2020). https://doi.org/10.1007/s12217-019-09738-2

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  • DOI: https://doi.org/10.1007/s12217-019-09738-2

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