English

Dispersionless bigraded Toda Hierarchy and its additional symmetry

Exactly Solvable and Integrable Systems 2015-06-04 v2

Abstract

In this paper, we firstly give the definition of dipersionless bigraded Toda hierarchy (dBTH) and introduce some Sato theory on dBTH. Then we define Orlov-Schulman's \ML\M_L, \MR\M_R operator and give the additional Block symmetry of dBTH. Meanwhile we give tau function of dBTH and some some related dipersionless bilinear equations.

Keywords

Cite

@article{arxiv.1202.1653,
  title  = {Dispersionless bigraded Toda Hierarchy and its additional symmetry},
  author = {Chuanzhong Li and Jingsong He},
  journal= {arXiv preprint arXiv:1202.1653},
  year   = {2015}
}

Comments

31 pages, Accepted by Reviews in Mathematical Physics