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Volume 19, Issue 4, December 2012, Pages 445 - 457
A New (γn, σk)-KP Hierarchy and Generalized Dressing Method
Authors
Yuqin Yao
Department of Applied Mathematics, China Agricultural University, Beijing 100083, P. R. China,yyqinw@126.com
Yehui Huang
School of Mathematics and Physics, North China Electric Power University, Beijing 102206, P. R. China,huangyh@mails.tsinghua.edu.cn
Yunbo Zeng
Department of Mathematical Science, Tsinghua University, Beijing 100084, P. R. China,yzeng@math.tsinghua.edu.cn
Received 20 March 2012, Accepted 30 May 2012, Available Online 31 December 2012.
- DOI
- 10.1142/S1402925112500271How to use a DOI?
- Keywords
- (γn, σk)-KP hierarchy; constrained flows; Lax representation; generalized dressing method
- Abstract
A new (γn, σk)-KP hierarchy (KPH) with two new time series γn and σk, which consists of γn-flow, σk-flow and mixed γn and σk evolution equations of eigenfunctions, is proposed. Two reductions and constrained flows of (γn, σk)-KPH are studied. The dressing method is generalized to the (γn, σk)-KPH and some solutions are presented.
- Copyright
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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Cite this article
TY - JOUR AU - Yuqin Yao AU - Yehui Huang AU - Yunbo Zeng PY - 2012 DA - 2012/12/31 TI - A New (γn, σk)-KP Hierarchy and Generalized Dressing Method JO - Journal of Nonlinear Mathematical Physics SP - 445 EP - 457 VL - 19 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500271 DO - 10.1142/S1402925112500271 ID - Yao2012 ER -