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- Title
Integrable vector evolution equations admitting zeroth-order conserved densities.
- Authors
Balakhnev, M. Yu.; Meshkov, A. G.
- Abstract
In the symmetry approach framework, we solve the problem of classifying third-order integrable vector evolution equations that have zeroth-order conserved densities. We obtain the complete list of nine equations of this form. Two equations in the list were previously unknown. We find auto-Bäcklund transformations for the new equations.
- Subjects
BACKLUND transformations; EVOLUTION equations; INTEGRAL equations; CONTACT transformations; ENERGY level densities
- Publication
Theoretical & Mathematical Physics, 2010, Vol 164, Issue 2, p1002
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-010-0080-9