Abstract
We determine all weak traveling wave solutions of a model for nonlinear dispersive waves in cylindrical compressible hyperelastic rods. Besides the previously known smooth, peaked, and cusped solutions, the equation is shown to admit compactons, stumpons, and fractal-like waves.
| Original language | English |
|---|---|
| Pages (from-to) | 151-167 |
| Journal | Discrete and Continuous Dynamical Systems. Series B |
| Volume | 6 |
| Issue number | 1 |
| Publication status | Published - 2006 |
Subject classification (UKÄ)
- Mathematical Sciences
Free keywords
- nonlinear wave equations
- elasticity
- traveling waves
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