Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities

In this paper we study nonlinear longitudinal bulk strain waves in a hyperelastic rod of circular cross section within the scope of the general weakly-nonlinear model with quadratic and cubic nonlinearities. We derive the extended Boussinesq and Korteweg - de Vries - type equations and construct a f...

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Bibliographic Details
Main Authors: FE Garbuzov, YM Beltukov, Karima Khusnutdinova
Format: Default Article
Published: 2020
Subjects:
Mathematical Physics
Mathematical Sciences
Physical Sciences
Hyperelastic rod
Korteweg - de Vries - type equation
Near-identity transformation
Soliton
Online Access:https://hdl.handle.net/2134/10043207.v1
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