Strict Versions of Integrable Hierarchies in Pseudodifference Operators and the Related Cauchy Problems

In the algebra PsΔ of pseudodifference operators, we consider two deformations of the Lie subalgebra spanned by positive powers of an invertible constant first-degree pseudodifference operator Λ 0 . The first deformation is by the group in PsΔ corresponding to the Lie subalgebra Ps

Saved in:
Bibliographic Details
Published in:Theoretical and mathematical physics 2019-02, Vol.198 (2), p.197-214
Main Authors: Helminck, G. F., Poberezhny, V. A., Polenkova, S. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Cauchy problems
Curvature
Deformation
Group theory
Hierarchies
Mathematical analysis
Mathematical and Computational Physics
Operators (mathematics)
Physics
Physics and Astronomy
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In the algebra PsΔ of pseudodifference operators, we consider two deformations of the Lie subalgebra spanned by positive powers of an invertible constant first-degree pseudodifference operator Λ 0 . The first deformation is by the group in PsΔ corresponding to the Lie subalgebra Ps
ISSN:0040-5779
1573-9333
DOI:10.1134/S004057791902003X