| Abstract: | Using the Linshtedt-Poincaré 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.Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 116–121, July–August, 1995. |
