Statistical Equilibrium of the Korteweg-de Vries and Benjamin-Ono Unidirectional Soliton Models
Pattern Formation and Solitons
2019-11-01 v2 Exactly Solvable and Integrable Systems
Abstract
The Korteweg-de Vries and Benjamin-Ono nonlinear wave equations can describe solitary waves, all of which propagate in the same direction and which emerge from collisions with their shapes unchanged. There are technical challenges to giving a description of the thermal equilibrium of a dilute gas of such solitons. These challenges can be overcome by considering a stochastic source of new solitons located at . The total intensity and the momentum distributions of the solitons emitted by such sources determine the equilibrium distribution of soliton momenta for .
Cite
@article{arxiv.1902.04643,
title = {Statistical Equilibrium of the Korteweg-de Vries and Benjamin-Ono Unidirectional Soliton Models},
author = {Brett Altschul},
journal= {arXiv preprint arXiv:1902.04643},
year = {2019}
}
Comments
18 pages