| Abstract: | By means of the method of two-scale expansions the results of studies [3–5] are extended to the case of cylindrical and spherical waves, and an equation for the gas velocity which takes dissipative processes into account is derived for one-dimensional plane small-amplitude nonlinear waves. A number of exact particular solutions of this equation is found. Since the accuracy of solutions obtained by means of approximate methods in problems of the type in question has not previously been estimated, the limits of applicability of the analytical method employed are established by comparing the results with numerical calculations.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 151–158, March–April, 1990.The authors are grateful to M. S. Ruderman for useful discussions. |
