Solitary waves in an inhomogeneous cylindrical shell interacting with an elastic medium
- Authors: Bochkarev A.V.1, Zemlyanukhin A.I.1, Mogilevich L.I.1
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Affiliations:
- Gagarin State Technical University, Saratov
- Issue: Vol 63, No 2 (2017)
- Pages: 148-153
- Section: Nonlinear Acoustics
- URL: https://journal-vniispk.ru/1063-7710/article/view/186038
- DOI: https://doi.org/10.1134/S1063771017020026
- ID: 186038
Cite item
Abstract
A new generalized sixth-order nonintegrable equation is derived to model axisymmetric longitudinal wave propagation in an inhomogeneous cylindrical shell interacting with a nonlinear elastic medium. Exact soliton-like solutions to this equation are constructed with allowance for geometric and physical nonlinearities, both individually and in combination.
About the authors
A. V. Bochkarev
Gagarin State Technical University, Saratov
Author for correspondence.
Email: ab2009sar@list.ru
Russian Federation, ul. Politekhnicheskaya 77, Saratov, 410054
A. I. Zemlyanukhin
Gagarin State Technical University, Saratov
Email: ab2009sar@list.ru
Russian Federation, ul. Politekhnicheskaya 77, Saratov, 410054
L. I. Mogilevich
Gagarin State Technical University, Saratov
Email: ab2009sar@list.ru
Russian Federation, ul. Politekhnicheskaya 77, Saratov, 410054
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