The solution of a nonlinear problem of waves on the surface weakly-viscous fluid

The nonlinear problem about propagation of gravitational waves on a free surface weakly-viscous fluid is considered. It is offered to consider viscous dissipation not only in speed of wave motion of a fluid, but also in wave parameters – frequency and decrement of attenuation of a wave. Therefore wave parameters are set as functions a subject definition from time. Such representation has allowed to apply effectively to the decision of a nonlinear problem a method of successive approximations of Stokes. The solution is found with accuracy of the third approach. The received expressions for frequency and decrement of attenuation of a wave represent the sum of two composed. The first – a constant corresponding a linear problem. The second composed, considering nonlinear effects – function of time, eventually aspiring zero. The found expressions in neglect viscosity pass all in known for an perfect fluid.