Solitary waves in an inhomogeneous cylindrical shell interacting with an elastic medium


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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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