Abstract
In this Letter, the authors introduce the concepts of nonlinear degree and partial stability for quasilinear hyperbolic systems and then prove a necessary and sufficient condition for the solution stability. An application to the system for plane elastic waves in some classical hyperelastic materials is given. For this kind of systems, some important traveling wave solutions are obtained. © 2001 Elsevier Science B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 313-322 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 289 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 29 Oct 2001 |
Research Keywords
- Hyperelastic materials
- Nonlinear degree
- Partial stability
- Plane elastic wave
- Quasilinear hyperbolic system
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