Transverse waves in nonlinearly elastic solids and the Milne—Pinney (or Ermakov) equation

DOI10.1177/1081286510387704zbMath1269.74118arXiv1302.1675OpenAlexW3122113747MaRDI QIDQ2842417

Giuseppe Saccomandi, Michel Destrade

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.1675

zbMATH Keywords

exact solutionsnonlinear elastodynamicsMilne-Pinney equationErmakov equation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10)

Related Items (4)

A Novel Ermakov-Painlevé II System: N+1-Dimensional Coupled NLS and Elastodynamic Reductions ⋮ Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions ⋮ On a Coupled Nonlinear Schrödinger System: A Ermakov Connection ⋮ Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction

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