Abstract
We derive the infinite-genus limit of the KdV-Whitham equations based on the special scaling of the spectral curve introduced by Venakides in the study of the continuum limit of theta functions. The limit describes evolution of the integrated density of states in a one-dimensional soliton gas.
| Original language | English |
|---|---|
| Pages (from-to) | 1505-1514 |
| Number of pages | 10 |
| Journal | Theoretical and Mathematical Physics |
| Volume | 137 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Nov 2003 |
| Externally published | Yes |
Keywords
- Finite-gap potentials
- Rotation number
- Thermodynamic limit