Физико-математические науки
INVESTIGATION OF WAVE PROPAGATIONS IN A SHELL WITH SOFTENING NONLINEARITY
Mogilevich L.I. 1, Ivanov S.V. 2, Popova E.V. 3
1. Yuri Gagarin State Technical University of Saratov 2. Saratov State University 3. Saratov State University
Abstract:
The present article deals with further developing of perturbation method for non-linear deformation waves in an elastic cylinder shell. The method of two-scale expansions leads to the modified Korteweg–de Vries equation having exact solutions.
Keywords: non-linear waves, elastic cylinder shell
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