Work

Galilean symmetry of the KdV hierarchy

Year: 2025

Type: article

Abstract: By solving the infinitesimal Galilean symmetry for the Korteweg–de Vries (KdV) hierarchy, we obtain an explicit expression for the corresponding one‐parameter Lie group, which we call the Galilean symmetry of the KdV hierarchy. As an application, we establish an explicit relationship between the non‐abelian Born–Infeld partition function and the generalized Brézin–Gross–Witten partition function.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70075

Authors: Jianghao Xu, Di Yang

Institution: University of Science and Technology of China

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Chinese Academy of Sciences

Awards: G763093004, G7776816500