# Stability of periodic waves of finite amplitude on the surface of a deep fluid

@article{Zakharov1968StabilityOP, title={Stability of periodic waves of finite amplitude on the surface of a deep fluid}, author={V. E. Zakharov}, journal={Journal of Applied Mechanics and Technical Physics}, year={1968}, volume={9}, pages={190-194} }

We study the stability of steady nonlinear waves on the surface of an infinitely deep fluid [1, 2]. In section 1, the equations of hydrodynamics for an ideal fluid with a free surface are transformed to canonical variables: the shape of the surface η(r, t) and the hydrodynamic potential ψ(r, t) at the surface are expressed in terms of these variables. By introducing canonical variables, we can consider the problem of the stability of surface waves as part of the more general problem of…

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