Open AccessSingular solutions of Toda system in high dimensions
Author(s) -
Lixia Dou
Publication year - 2022
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2022011
Subject(s) - component (thermodynamics) , toda lattice , pure mathematics , mathematics , construct (python library) , mathematical analysis , physics , computer science , thermodynamics , integrable system , programming language
We construct some singular solutions to the four component Toda system. These solutions are almost split into two groups, each one modelled on an explicit solution to the two component Toda system (i.e. Liouivlle equation). These solutions are shown to be stable in high dimensions. This gives a sharp example on the partial regularity of stable solutions to Toda system.