The "Nonlinear Waves and Coherent Structures Online Colloquium" is a monthly seminar that will have speakers from a diverse range of disciplines to speak on a broad range of topics connected to nonlinear waves and coherent structures. The organizers hope this series will help maintain a sense of community and provide a broad audience with access to research developments on the forefront of this field.
NWCS Colloquium
Kenneth McLaughlin (Department of Mathematics, Tulane University)
Tuesday, December 9th, 11:00am (Eastern Time)
Title: Asymptotic analysis of multisoliton solutions of integrable partial differential equations and the kinetic theory of soliton gasses.
Abstract: The kinetic theory of solitons and soliton gases originates from the discovery of the complete integrability of the Korteweg–de Vries (KdV) equation in the 1960s, leading to the identification of solitons as fundamental nonlinear phenomena. The concept of a soliton gas was introduced by Zakharov in 1971 and further developed by El in 2003, modeling solitons as interacting particle-like structures. In recent years, rigorous analytical results have been established that provide confirmation of the qualitative theory. In this talk, I hope to describe the background, and some these developments. I am fortunate to be a member of a collaborating group of researchers, and I will describe work with Manuela Girotti, Aikaterini Gkogkou, Tamara Grava, Robert Jenkins, Guido Mazzuca, Oleksandr Minakov, Joseph Najnudel, and Maxim Yattselev.
How to join: An email containing the zoom link and password for the seminar will be sent out by 9:30am (Eastern Time) the day of the talk. To join the email list please register here
Speakers: To see the full list of upcoming speakers and recordings of prior talks, click here
Organizers:
Stathis Charalampidis, SDSU, San Diego
Sathyanarayanan Chandramouli, UMass Amherst
Panos Kevrekidis, UMass Amherst