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