Abstract
We investigate the integrability of a class of 1+1 dimensional models describing non-linear dispersive waves in continuous media, e.g. cylindrical compressible hyperelastic rods, shallow water waves, etc. The only completely integrable cases coincide with the Camassa-Holm and Degasperis-Procesi equations.
| Original language | English |
|---|---|
| Pages (from-to) | 462-468 |
| Number of pages | 7 |
| Journal | Journal of Nonlinear Mathematical Physics |
| Volume | 12 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2005 |
| Externally published | Yes |
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