Abstract
Using the Linshtedt-Poincare method, Sretenskii gave an approximate solution of the Cauchy-Poisson problem for free waves of finite amplitude constructed so as to be free of secular terms [1]. In [2] the Cauchy-Poisson problem was solved by the same method, but for somewhat modified initial conditions. It would appear reasonable to generalize the results of [1] to include the case of forced waves of finite amplitude and to describe their development with time. In the present paper, in order to solve this problem the Krylov-Bogolyubov method is employed and the principal and subharmonic resonances are investigated.
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