Abstract
A quasi-hyperbolic equation is derived that simulates the axisymmetric propagation of bending waves in a cylindrical shell, which interacts with a nonlinearly elastic medium. With the correct asymptotic procedure, the study of a wave process reduces to analysis of a nonlinear Schrödinger equation. It is established that the development of modulation instability requires a “soft” nonlinearity of the medium surrounding the shell. Operating modes that allow the propagation of stable light envelope solitons are revealed.
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Original Russian Text © A.I. Zemlyanukhin, A.V. Bochkarev, 2018, published in Akusticheskii Zhurnal, 2018, Vol. 64, No. 4, pp. 417–423.
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Zemlyanukhin, A.I., Bochkarev, A.V. Axisymmetric Nonlinear Modulated Waves in a Cylindrical Shell. Acoust. Phys. 64, 408–414 (2018). https://doi.org/10.1134/S1063771018040139
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DOI: https://doi.org/10.1134/S1063771018040139