Spring 2026
Time & Location: Typically talks will be in TBA at 3:00 pm on a Friday.
Organizers: Chen, Hongfei and Gkogkou, Aikaterini
January 16, 2026
Applied and Computational
Title: Soliton Gas: recent results in one and two dimensions
Speaker: Giacomo Roberti - Northumbria University Newcastle, UK (Host: Kenneth McLaughlin)
Abstract: The concept of integrable turbulence, introduced by Zakharov in 2009, provides a framework for describing random nonlinear dispersive waves governed by integrable equations, such as the Korteweg–de Vries (KdV) and the focusing nonlinear Schrödinger (fNLS) equations.
Within this framework, we focus on a specialized class of integrable turbulence dominated by solitons, known as a soliton gas, first introduced by Zakharov in 1971.
In recent years, there has been rapidly growing interest in soliton gas theory and its applications, as soliton gas dynamics have been shown to underpin a wide range of fundamental nonlinear wave phenomena, including modulational instability and the formation of rogue waves.
In this talk, we present recent results on one-dimensional soliton gases, with particular emphasis on the collision of monochromatic soliton gases, as well as recent extensions of the theory to two-dimensional soliton gases.
Time: 3:00 PM
Location: Gibson Hall 126
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