NonAbelian Evolution Systems with Conservation Laws
Abstract
We find noncommutative analogs for wellknown polynomial evolution systems with higher conservation laws and symmetries. The integrability of obtained nonAbelian systems is justified by explicit zero curvature representations with spectral parameter.
 Publication:

Mathematical Physics, Analysis and Geometry
 Pub Date:
 March 2021
 DOI:
 10.1007/s11040021093826
 arXiv:
 arXiv:2008.09174
 Bibcode:
 2021MPAG...24....7A
 Keywords:

 NonAbelian system;
 Conservation law;
 Symmetry;
 Zero curvature representation;
 37K06;
 37K10;
 37K30;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Mathematical Physics
 EPrint:
 21 pages second version: few minor typos corrected