Longitudinal strain solitary waves in presence of cubic non-linearity

DOI10.1016/J.IJNONLINMEC.2005.03.001zbMath1349.74213OpenAlexW1977010814MaRDI QIDQ873554

Alexey V. Porubov, Gérard A. Maugin

Publication date: 29 March 2007

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2005.03.001

zbMATH Keywords

elastic rodnon-linear wavesMurnaghan's materials

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Solitary waves in solid mechanics (74J35)

Related Items (7)

Solitary wave interactions and reshaping in coupled systems ⋮ On solitons in media modelled by the hierarchical KdV equation ⋮ Solitons in elastic solids (1938--2010) ⋮ Wave propagation in periodic buckled beams. I: Analytical models and numerical simulations ⋮ Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities ⋮ Influence of coupling on nonlinear waves localization ⋮ Dynamic Properties of Essentially Nonlinear Generalized Continua

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