English

On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies

solv-int 2009-10-31 v1 Exactly Solvable and Integrable Systems

Abstract

We investigate the Miura map between the dispersionless KP and dispersionless modified KP hierarchies. We show that the Miura map is canonical with respect to their bi-Hamiltonian structures. Moreover, inspired by the works of Takasaki and Takebe, the twistor construction of solution structure for the dispersionless modified KP hierarchy is given.

Keywords

Cite

@article{arxiv.solv-int/9912016,
  title  = {On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies},
  author = {Jen-Hsu Chang and Ming-Hsien Tu},
  journal= {arXiv preprint arXiv:solv-int/9912016},
  year   = {2009}
}

Comments

19 pages, Latex, no figures