Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Exactly Solvable and Integrable Systems
2008-04-25 v1 Mathematical Physics
math.MP
Abstract
A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them. Examples of zero curvature representations with matrices are presented.
Keywords
Cite
@article{arxiv.0802.1253,
title = {Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions},
author = {Anatoly G. Meshkov and Maxim Ju. Balakhnev},
journal= {arXiv preprint arXiv:0802.1253},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/