Do All Integrable Equations Satisfy Integrability Criteria?

Do All Integrable Equations Satisfy Integrability Criteria?

At the price of sacrificing all suspense, we can already announce that the answer to the question of the title is “no.†It is indeed our belief that one may find counterexamples to all integrability conjectures, unless one constrains the definition of integrability to the point that the int...

Full description

Bibliographic Details
Main Authors: A. S. Carstea, T. Tamizhmani, K. M. Tamizhmani, A. Ramani, B. Grammaticos
Format: Article
Language:English
Published: SpringerOpen 2008-06-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/2008/317520
id doaj-f6fde9b2383840e19e0b8e391ed6c437
record_format Article
spelling doaj-f6fde9b2383840e19e0b8e391ed6c4372020-11-24T21:39:17ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472008-06-01200810.1155/2008/317520Do All Integrable Equations Satisfy Integrability Criteria?A. S. CarsteaT. TamizhmaniK. M. TamizhmaniA. RamaniB. GrammaticosAt the price of sacrificing all suspense, we can already announce that the answer to the question of the title is “no.†It is indeed our belief that one may find counterexamples to all integrability conjectures, unless one constrains the definition of integrability to the point that the integrability criterion becomes tautological. This review is devoted to a critical analysis of the situation.http://dx.doi.org/10.1155/2008/317520
collection DOAJ
language English
format Article
sources DOAJ
author A. S. Carstea
T. Tamizhmani
K. M. Tamizhmani
A. Ramani
B. Grammaticos
spellingShingle A. S. Carstea
T. Tamizhmani
K. M. Tamizhmani
A. Ramani
B. Grammaticos
Do All Integrable Equations Satisfy Integrability Criteria?
Advances in Difference Equations
author_facet A. S. Carstea
T. Tamizhmani
K. M. Tamizhmani
A. Ramani
B. Grammaticos
author_sort A. S. Carstea
title Do All Integrable Equations Satisfy Integrability Criteria?
title_short Do All Integrable Equations Satisfy Integrability Criteria?
title_full Do All Integrable Equations Satisfy Integrability Criteria?
title_fullStr Do All Integrable Equations Satisfy Integrability Criteria?
title_full_unstemmed Do All Integrable Equations Satisfy Integrability Criteria?
title_sort do all integrable equations satisfy integrability criteria?
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2008-06-01
description At the price of sacrificing all suspense, we can already announce that the answer to the question of the title is “no.†It is indeed our belief that one may find counterexamples to all integrability conjectures, unless one constrains the definition of integrability to the point that the integrability criterion becomes tautological. This review is devoted to a critical analysis of the situation.
url http://dx.doi.org/10.1155/2008/317520
work_keys_str_mv AT ascarstea doallintegrableequationssatisfyintegrabilitycriteria
AT ttamizhmani doallintegrableequationssatisfyintegrabilitycriteria
AT kmtamizhmani doallintegrableequationssatisfyintegrabilitycriteria
AT aramani doallintegrableequationssatisfyintegrabilitycriteria
AT bgrammaticos doallintegrableequationssatisfyintegrabilitycriteria
_version_ 1725931577840500736

Similar Items