27 citations · 51 across the 7 of their papers we have counts for
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Slowly decaying strain solitons in nonlinear viscoelastic waveguides
F. E. Garbuzov, Y. M. Beltukov
This paper is devoted to the modeling of longitudinal strain waves in a rod composed of a nonlinear viscoelastic material characterized by frequency-dependent second- and third-ord…
Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities
F. E. Garbuzov, Y. M. Beltukov, K. R. Khusnutdinova
We study long nonlinear longitudinal bulk strain waves in a hyperelastic rod of circular cross section within the scope of the general weakly-nonlinear elasticity leading to a mode…
On Boussinesq-type models for long longitudinal waves in elastic rods
F. E. Garbuzov, K. R. Khusnutdinova, I. V. Semenova
In this paper we revisit the derivations of model equations describing long nonlinear longitudinal bulk strain waves in elastic rods within the scope of the Murnaghan model in orde…