Renormalization of the τ-functions for integrable systems: A model problem
Publication
, Journal Article
McDonald, MA; Venakides, S
Published in: Communications on Pure and Applied Mathematics
January 1, 1998
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.
Duke Scholars
Published In
Communications on Pure and Applied Mathematics
DOI
ISSN
0010-3640
Publication Date
January 1, 1998
Volume
51
Issue
8
Start / End Page
937 / 966
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
McDonald, M. A., & Venakides, S. (1998). Renormalization of the τ-functions for integrable systems: A model problem. Communications on Pure and Applied Mathematics, 51(8), 937–966. https://doi.org/10.1002/(SICI)1097-0312(199808)51:8<937::AID-CPA3>3.0.CO;2-6
McDonald, M. A., and S. Venakides. “Renormalization of the τ-functions for integrable systems: A model problem.” Communications on Pure and Applied Mathematics 51, no. 8 (January 1, 1998): 937–66. https://doi.org/10.1002/(SICI)1097-0312(199808)51:8<937::AID-CPA3>3.0.CO;2-6.
McDonald MA, Venakides S. Renormalization of the τ-functions for integrable systems: A model problem. Communications on Pure and Applied Mathematics. 1998 Jan 1;51(8):937–66.
McDonald, M. A., and S. Venakides. “Renormalization of the τ-functions for integrable systems: A model problem.” Communications on Pure and Applied Mathematics, vol. 51, no. 8, Jan. 1998, pp. 937–66. Scopus, doi:10.1002/(SICI)1097-0312(199808)51:8<937::AID-CPA3>3.0.CO;2-6.
McDonald MA, Venakides S. Renormalization of the τ-functions for integrable systems: A model problem. Communications on Pure and Applied Mathematics. 1998 Jan 1;51(8):937–966.
Published In
Communications on Pure and Applied Mathematics
DOI
ISSN
0010-3640
Publication Date
January 1, 1998
Volume
51
Issue
8
Start / End Page
937 / 966
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics