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Variational Bihamiltonian Cohomologies and Integrable Hierarchies III: Linear Reciprocal Transformations.
- Source :
-
Communications in Mathematical Physics . Oct2023, Vol. 403 Issue 2, p1109-1152. 44p. - Publication Year :
- 2023
-
Abstract
- For an integrable hierarchy which possesses a bihamiltonian structure with semisimple hydrodynamic limit, we prove that the linear reciprocal transformation with respect to any of its symmetry transforms it to another bihamiltonian integrable hierarchy. Moreover, we show that the central invariants of the bihamiltonian structure are preserved under such a linear reciprocal transformation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SYMMETRY
*SEMISIMPLE Lie groups
*BACKLUND transformations
Subjects
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 403
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 172330881
- Full Text :
- https://doi.org/10.1007/s00220-023-04817-3