| Autor: |
INGIMARSON, BENJAMIN, PEGO, ROBERT L. |
| Předmět: |
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| Zdroj: |
SIAM Journal on Applied Mathematics; 2024, Vol. 84 Issue 3, p808-830, 23p |
| Abstrakt: |
We study waves on infinite one-dimensional lattices of particles that each interact with all others through power-law forces F ~ r-β. The inverse-cube case corresponds to Calogero--Moser systems which are well known to be completely integrable for any finite number of particles. The formal long-wave limit for unidirectional waves in these lattices is the Korteweg--de Vries equation if β > 4, but with 2 < β < 4 it is a nonlocal dispersive PDE that reduces to the Benjamin--Ono equation for β = 3. For the infinite Calogero--Moser lattice, we find explicit formulas that describe solitary and periodic traveling waves. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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