Vector Hyperbolic Equations on the Sphere Possessing Integrable Third-Order Symmetries
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.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- March 2014
- DOI:
- 10.1007/s11005-013-0665-y
- arXiv:
- arXiv:1211.0681
- Bibcode:
- 2014LMaPh.104..341M
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- 37K10;
- 37K35;
- 35Q53;
- 35Q58
- E-Print:
- Submitted in Lett. Math. Phys