English

Symmetric $q$-deformed KP hierarch

Exactly Solvable and Integrable Systems 2014-03-04 v1 Mathematical Physics math.MP

Abstract

Based on the analytic property of the symmetric qq-exponent eq(x)e_q(x), a new symmetric qq-deformed Kadomtsev-Petviashvili (qq-KP) hierarchy associated with the symmetric qq-derivative operator q\partial_q is constructed. Furthermore, the symmetric qq-CKP hierarchy and symmetric qq-BKP hierarchy are defined. Here we also investigate the additional symmetries of the symmetric qq-KP hierarchy.

Keywords

Cite

@article{arxiv.1403.0169,
  title  = {Symmetric $q$-deformed KP hierarch},
  author = {Kelei Tian and Jingsong He and Yucai Su},
  journal= {arXiv preprint arXiv:1403.0169},
  year   = {2014}
}

Comments

11pages, accepted by Chinese Annals of Mathematics Series B(2014)

R2 v1 2026-06-22T03:18:29.673Z