Modified Korteweg-de Vries Equation as a System with Benign Ghosts
High Energy Physics - Theory
2021-12-30 v1 General Relativity and Quantum Cosmology
Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We consider the modified Korteweg-de Vries equation, , and explore its dynamics in {\it spatial} direction. Higher derivatives bring about the {\it ghosts}. We argue that these ghosts are benign, i.e. the classical dynamics of this system does not involve a blow-up. This probably means that also the associated quantum problem is well defined.
Keywords
Cite
@article{arxiv.2112.14120,
title = {Modified Korteweg-de Vries Equation as a System with Benign Ghosts},
author = {Andrei Smilga},
journal= {arXiv preprint arXiv:2112.14120},
year = {2021}
}
Comments
16 pages, 6 figures. A talk given at the AAMP conference, Prague, September 2021