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Vector Hyperbolic Equations on the Sphere Possessing Integrable Third-Order Symmetries.

Authors :
Meshkov, Anatoly
Sokolov, Vladimir
Source :
Letters in Mathematical Physics. Mar2014, Vol. 104 Issue 3, p341-360. 20p.
Publication Year :
2014

Abstract

The complete lists of vector hyperbolic equations on the sphere that have integrable third-order vector isotropic and anisotropic symmetries are presented. Several new integrable hyperbolic vector models are found. By their integrability, we mean the existence of vector Bäcklund transformations depending on a parameter. For all new equations, such transformations are constructed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03779017
Volume :
104
Issue :
3
Database :
Academic Search Index
Journal :
Letters in Mathematical Physics
Publication Type :
Academic Journal
Accession number :
94380587
Full Text :
https://doi.org/10.1007/s11005-013-0665-y