English

Multidimensional integrable systems and deformations of Lie algebra homomorphisms

Exactly Solvable and Integrable Systems 2009-11-13 v3 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti--self--dual Yang--Mills equations with a gauge group Diff(S1)(S^1).

Keywords

Cite

@article{arxiv.nlin/0702040,
  title  = {Multidimensional integrable systems and deformations of Lie algebra homomorphisms},
  author = {Maciej Dunajski and James D. E. Grant and Ian A. B. Strachan},
  journal= {arXiv preprint arXiv:nlin/0702040},
  year   = {2009}
}

Comments

14 pages. An example of a reduction to the Beltrami equation added. New title. Final version, published in JMP