On a non-linear wave equation in elasticity

DOI10.1016/j.physleta.2003.09.064zbMath1098.74532OpenAlexW2048162199MaRDI QIDQ1412204

Bogdan-Felix Apostol

Publication date: 9 November 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2003.09.064

zbMATH Keywords

asymptotic quasi-plane-wave-solution seriescontinuum Fermi-Pasta-Ulam equation limitelementary quadratures

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Nonlinear waves in solid mechanics (74J30) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (4)

Exact solutions of some general nonlinear wave equations in elasticity ⋮ Lie symmetry analysis and conservation laws of non-linear (2+1) elastic wave equation ⋮ Symmetry solutions of a nonlinear elastic wave equation with third-order anharmonic corrections ⋮ Emergence of colour symmetry in free-vibration acoustic resonance of a nonlinear hyperelastic material

Cites Work

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• Self-organized criticality
• A class of nonlinear wave equations containing the continuous Toda case

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