Non-Abelian Evolution Systems with Conservation Laws
Abstract
We find noncommutative analogs for well-known polynomial evolution systems with higher conservation laws and symmetries. The integrability of obtained non-Abelian systems is justified by explicit zero curvature representations with spectral parameter.
- Publication:
-
Mathematical Physics, Analysis and Geometry
- Pub Date:
- March 2021
- DOI:
- 10.1007/s11040-021-09382-6
- arXiv:
- arXiv:2008.09174
- Bibcode:
- 2021MPAG...24....7A
- Keywords:
-
- Non-Abelian system;
- Conservation law;
- Symmetry;
- Zero curvature representation;
- 37K06;
- 37K10;
- 37K30;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematical Physics
- E-Print:
- 21 pages second version: few minor typos corrected