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Reproduction of solutions in the plane problem on motion of a free-boundary fluid

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Abstract

This study is devoted to finding exact solutions of the plane unsteady problem on the motion of an ideal incompressible free-boundary fluid. A certain procedure of reproduction making it possible to obtain a two-parametrical family of new exact solutions from one known solution is proposed.

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Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    E. A. Karabut & E. N. Zhuravleva

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    E. A. Karabut & E. N. Zhuravleva

Authors
  1. E. A. Karabut
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  2. E. N. Zhuravleva
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Corresponding author

Correspondence to E. A. Karabut.

Additional information

Original Russian Text © E.A. Karabut, E.N. Zhuravleva, 2016, published in Doklady Akademii Nauk, 2016, Vol. 469, No. 3, pp. 295–298.

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Karabut, E.A., Zhuravleva, E.N. Reproduction of solutions in the plane problem on motion of a free-boundary fluid. Dokl. Phys. 61, 347–350 (2016). https://doi.org/10.1134/S1028335816070107

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  • DOI: https://doi.org/10.1134/S1028335816070107

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