Renormalization of the τ-functions for integrable systems: A model problem
Journal Article
We introduce a renormalization procedure for the τ-function of integrable systems. We illustrate the procedure using the supercritical Toda shock problem as a model problem. We start with a finite chain and take the limit of the solution as the number of particles N → ∞. This results in a new formula for the τ-function for the problem with an infinite chain. We apply the renormalized formula to rederive leading-order effects of the supercritical Toda shock problem. © 1998 John Wiley & Sons, Inc.
Full Text
Duke Authors
Cited Authors
- McDonald, MA; Venakides, S
Published Date
- January 1, 1998
Published In
Volume / Issue
- 51 / 8
Start / End Page
- 937 - 966
International Standard Serial Number (ISSN)
- 0010-3640
Digital Object Identifier (DOI)
- 10.1002/(SICI)1097-0312(199808)51:8<937::AID-CPA3>3.0.CO;2-6
Citation Source
- Scopus