Abstract
We quantify the notion of a dense soliton gas by establishing an upper bound for the integrated density of states of the quantum-mechanical Schrödinger operator associated with the Korteweg-de Vries soliton gas dynamics. As a by-product of our derivation, we find the speed of sound in the soliton gas with Gaussian spectral distribution function.
Original language | English |
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Article number | 023105 |
Number of pages | 7 |
Journal | Chaos |
Volume | 26 |
Issue number | 2 |
Early online date | 8 Feb 2016 |
DOIs | |
Publication status | Published - Feb 2016 |
Externally published | Yes |