Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials

DOI10.1016/S0375-9601(01)00629-6zbMath0977.35093OpenAlexW2067554085MaRDI QIDQ5948453

Hui-Hui Dai, De-Xing Kong

Publication date: 7 November 2001

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00629-6

zbMATH Keywords

traveling wave solutionsclassical hyperelastic materials

Mathematics Subject Classification ID

Nonlinear waves in solid mechanics (74J30) Second-order nonlinear hyperbolic equations (35L70) Degree theory for nonlinear operators (47H11) Explicit solutions of dynamical problems in solid mechanics (74H05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cauchy problem for quasilinear hyperbolic systems
• Hyperbolic systems of conservation laws II
• Formation of singularities in one-dimensional nonlinear wave propagation
• Plane elastic waves of finite amplitude. Hadamard materials and harmonic materials

This page was built for publication: Nonlinear degree and partial stability for quasilinear hyperbolic systems and the application to plane elastic waves in hyperelastic materials