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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-06-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2008/317520 |
| Summary: | 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. |
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| ISSN: | 1687-1839 1687-1847 |