A new $(\gamma_n,\sigma_k)-$ KP hierarchy and generalized dressing method
Exactly Solvable and Integrable Systems
2016-11-03 v1
Abstract
A new (\gamma_n,\sigma_k)-KP hierarchy with two new time series \gamma_n and \sigma_k, which consists of \gamma_n-flow, \sigma_k-flow and mixed \gamma_n and \sigma_k evolution equations of eigenfunctions, is proposed. Two reductions and constrained flows of (\gamma_n,\sigma_k)-KP hierarchy are studied. The dressing method is generalized to the (\gamma_n,\sigma_k)-KP hierarchy and some solutions are presented.
Keywords
Cite
@article{arxiv.1208.4422,
title = {A new $(\gamma_n,\sigma_k)-$ KP hierarchy and generalized dressing method},
author = {Yuqin Yao and Yehui Huang and Yunbo Zeng},
journal= {arXiv preprint arXiv:1208.4422},
year = {2016}
}
Comments
14 pages, to appear in Journal of Nonlinear Mathematical Physics