English

Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

A ˉ\bar{\partial}-formalism for studying dispersionless integrable hierarchies is applied to the dKP hierarchy. Connections with the theory of quasiconformal mappings on the plane are described and some clases of explicit solutions of the dKP hierarchy are presented.

Keywords

Cite

@article{arxiv.nlin/0202013,
  title  = {Quasiconformal Mappings and Solutions of the Dispersionless KP hierarchy},
  author = {B. Konopelchenko and L. Martinez Alonso and E. Medina},
  journal= {arXiv preprint arXiv:nlin/0202013},
  year   = {2007}
}

Comments

Latex 15 pages