An Analutical Solution for the Profile of Non-Linear Gravity Waves on the Surface of an Ideal Liquidстатья
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Аннотация:A non-linear 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 of the linearized system is also a solution to the initial non-linear system. Description of a wave profile is also reduced to the solution of one ordinary differential non-linear first-order equation.