The problems of the asymptotic theory of weakly nonlinear surface waves in a viscous fluid are discussed. Lagrange variables are used. For standing waves on deep water, the solutions obtained in the first- and second- order approximations in a small parameter - wave steepness - are analyzed. The evolution equation for the amplitude of wave packet envelope is obtained where the inverse Reynolds number is equal to the squared steepness. It is shown that this is a nonlinear Schredinger equation with linear dissipation.
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