Volume 9, Issue 4, November 2002, Pages 517 - 529
Tau Functions Associated to Pseudodifferential Operators of Several Variables
Authors
Min Ho Lee
Corresponding Author
Min Ho Lee
Received 26 April 2002, Accepted 3 June 2002, Available Online 1 November 2002.
- DOI
- 10.2991/jnmp.2002.9.4.10How to use a DOI?
- Abstract
Pseudodifferential operators of several variables are formal Laurent series in the formal inverses of 1, . . . , n with i = d/dxi for 1 i n. As in the single variable case, Lax equations can be constructed using such pseudodifferential operators, whose solutions can be provided by Baker functions. We extend the usual notion of tau functions to the case of pseudodifferential operators of several variables so that each Baker function can be expressed in terms of the corresponding tau function.
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Min Ho Lee PY - 2002 DA - 2002/11/01 TI - Tau Functions Associated to Pseudodifferential Operators of Several Variables JO - Journal of Nonlinear Mathematical Physics SP - 517 EP - 529 VL - 9 IS - 4 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.4.10 DO - 10.2991/jnmp.2002.9.4.10 ID - Lee2002 ER -