Annotation
A nonlinear system of hydrodynamic equations that describe the 2D motion of an incompressible liquid with a free surface in a pond with a fixed depth is studied in this work. It has been shown that a known solution to the linearized system is also a solution to the initial nonlinear system. Description of a wave pro file is also reduced to the solution of one ordinary differential nonlinear firstorder equation.
Received: 2015 February 11
Approved: 2015 August 28
PACS:
47.35.Bb Gravity waves
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
V.M. Budanov
Institute of Mechanics, Moscow State University, Moscow, 119192 Russia
Institute of Mechanics, Moscow State University, Moscow, 119192 Russia
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