Volume 15, Issue 3, November 2008, Pages 333 - 347
A new extended q-deformed KP hierarchy
Authors
Runliang Lin, Xiaojun Liu, Yunbo Zeng
Corresponding Author
Runliang Lin
Received 12 October 2008, Accepted 22 November 2008, Available Online 8 December 2008.
- DOI
- 10.2991/jnmp.2008.15.3.6How to use a DOI?
- Abstract
A method is proposed in this paper to construct a new extended q-deformed KP (q-KP) hiearchy and its Lax representation. This new extended q-KP hierarchy contains two types of q-deformed KP equation with self-consistent sources, and its two kinds of reductions give the q-deformed Gelfand-Dickey hierarchy with self-consistent sources and the constrained q-deformed KP hierarchy, which include two types of q-deformed KdV equation with sources and two types of q-deformed Boussinesq equation with sources. All of these results reduce to the classical ones when q goes to 1. This provides a general way to construct (2+1)- and (1+1)-dimensional q-deformed soliton equations with sources and their Lax representations.
- Copyright
- © 2009, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Runliang Lin AU - Xiaojun Liu AU - Yunbo Zeng PY - 2008 DA - 2008/12/08 TI - A new extended q-deformed KP hierarchy JO - Journal of Nonlinear Mathematical Physics SP - 333 EP - 347 VL - 15 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2008.15.3.6 DO - 10.2991/jnmp.2008.15.3.6 ID - Lin2008 ER -