Do All Integrable Equations Satisfy Integrability Criteria?
<p/> <p>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, <it>unless</it> one constrains the definition...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2008/317520 |
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Article |
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doaj-f080fb2dbae24a80a747149e4fb96ae12020-11-24T21:08:43ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472008-01-0120081317520Do All Integrable Equations Satisfy Integrability Criteria?Carstea ASRamani ATamizhmaniTamizhmani KMGrammaticos B<p/> <p>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, <it>unless</it> 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.</p>http://www.advancesindifferenceequations.com/content/2008/317520 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Carstea AS Ramani A Tamizhmani Tamizhmani KM Grammaticos B |
| spellingShingle |
Carstea AS Ramani A Tamizhmani Tamizhmani KM Grammaticos B Do All Integrable Equations Satisfy Integrability Criteria? Advances in Difference Equations |
| author_facet |
Carstea AS Ramani A Tamizhmani Tamizhmani KM Grammaticos B |
| author_sort |
Carstea AS |
| 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 |
2008-01-01 |
| description |
<p/> <p>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, <it>unless</it> 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.</p> |
| url |
http://www.advancesindifferenceequations.com/content/2008/317520 |
| work_keys_str_mv |
AT carsteaas doallintegrableequationssatisfyintegrabilitycriteria AT ramania doallintegrableequationssatisfyintegrabilitycriteria AT tamizhmani doallintegrableequationssatisfyintegrabilitycriteria AT tamizhmanikm doallintegrableequationssatisfyintegrabilitycriteria AT grammaticosb doallintegrableequationssatisfyintegrabilitycriteria |
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1716759728564994048 |