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Физико-математические науки
PERIODIC WAVES OF THE 4-TH ORDER DIFFERENTIAL EQUATION WITH NONLINEARITY OF 5-TH DEGREE
1. Yuri Gagarin State Technical University of Saratov 2. Yuri Gagarin State Technical University of Saratov 3. Yuri Gagarin State Technical University of Saratov 4. Saratov state university
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Abstract: The 4th-order equation describing the propagation of stationary axially symmetric bending-longitudinal waves in a cylindrical shell interacting with an external nonlinear elastic medium is considered. The reduction of the equation which is a generalized Duffing equation is investigated. Exact periodic solutions of the equation are constructed using the geometric series method. Keywords: exact periodic solutions, cylindrical shell, bending-longitudinal waves |
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