English

Classification of integrable polynomial vector evolution equations

Exactly Solvable and Integrable Systems 2009-11-11 v1 Mathematical Physics math.MP

Abstract

Several classes of systems of evolution equations with one or two vector unknowns are considered. We investigate also systems with one vector and one scalar unknown. For these classes all equations having the simplest higher symmetry are listed.

Keywords

Cite

@article{arxiv.nlin/0611038,
  title  = {Classification of integrable polynomial vector evolution equations},
  author = {Vladimir V Sokolov and Thomas Wolf},
  journal= {arXiv preprint arXiv:nlin/0611038},
  year   = {2009}
}