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On non-Abelian Toda A2(1) model and related hierarchies.
- Source :
-
Journal of Mathematical Physics . Dec2009, Vol. 50 Issue 12, p123516. 11p. - Publication Year :
- 2009
-
Abstract
- We study limiting cases of the two known integrable chiral-type models with three-dimensional configuration space. One of the initial models is the non-Abelian Toda A2(1) model and the other was found by means of the symmetry approach by Meshkov and Demskoi [Theor. Math. Phys. 134, 351 (2003)]. The C-integrability of the reduced models is established by constructing their complete sets of integrals and general solutions. A description of the generalized symmetry algebras of these models is given in terms of operator mapping integrals into symmetries. The integrals of the Liouville-type systems are known to define Miura-type transformations for their generalized symmetries. This fact allowed us to find a few new systems of the Yajima–Oikawa type. We present a recursion operator for one them. [ABSTRACT FROM AUTHOR]
- Subjects :
- *INTEGRALS
*MATHEMATICAL analysis
*ALGEBRA
*MATHEMATICAL symmetry
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 50
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 47244032
- Full Text :
- https://doi.org/10.1063/1.3267864