English

B\"{a}cklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources

Exactly Solvable and Integrable Systems 2009-11-11 v1

Abstract

The B\"{a}cklund transformations between the constrained dispersionless KP hierarchy (cdKPH) and the constrained dispersionless mKP hieararchy (cdmKPH) and between the dispersionless KP hieararchy with self-consistent sources (dKPHSCS) and the dispersionless mKP hieararchy with self-consistent sources (dmKPHSCS) are constructed. The auto-B\"{a}cklund transformations for the cdmKPH and for the dmKPHSCS are also formulated.

Keywords

Cite

@article{arxiv.nlin/0606060,
  title  = {B\"{a}cklund transformations for the constrained dispersionless hierarchies and dispersionless hierarchies with self-consistent sources},
  author = {Ting Xiao and Yunbo Zeng},
  journal= {arXiv preprint arXiv:nlin/0606060},
  year   = {2009}
}

Comments

11 pages