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First-order differential substitutions for equations integrable on $$ \mathbb{S}^n $$.
- Source :
- Mathematical Notes; Feb2011, Vol. 89 Issue 1/2, p184-193, 10p
- Publication Year :
- 2011
-
Abstract
- We determine necessary conditions under which integrable vector evolution equations of third order admit Miura-type transformations. For equations integrable on the n-dimensional sphere, we obtain first-order differential substitutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 89
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 59200409
- Full Text :
- https://doi.org/10.1134/S000143461101024X