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.

About the authors

E. A. Karabut

Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

Author for correspondence.
Email: eakarabut@gmail.com
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

E. N. Zhuravleva

Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University

Email: eakarabut@gmail.com
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

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