Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 244 - 252

On τ-Function of Conjugate Nets

Authors
Adam Doliwa
Corresponding Author
Adam Doliwa
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.20How to use a DOI?
Abstract

We study a potential introduced by Darboux to describe conjugate nets, which within the modern theory of integrable systems can be interpreted as a τ-function. We investigate the potential using the nonlocal ∂-dressing method of Manakov and Zakharov and we show that it can be interpreted as the Fredholm determinant of an integral equation which naturally appears within that approach. Finally we give some arguments extending that interpretation to multicomponent Kadomtsev–­Petviashvili hierarchy.

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/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
244 - 252
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.20How to use a DOI?
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

risenwbib
TY  - JOUR
AU  - Adam Doliwa
PY  - 2005
DA  - 2005/01/01
TI  - On τ-Function of Conjugate Nets
JO  - Journal of Nonlinear Mathematical Physics
SP  - 244
EP  - 252
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.20
DO  - 10.2991/jnmp.2005.12.s1.20
ID  - Doliwa2005
ER  -