Volume 23, Issue 2, March 2016, Pages 157 - 166
Conservation Laws and optimal system of extended quantum Zakharov-Kuznetsov equation
Authors
Yao-Lin Jiang*
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, Shaanxi, China,yljiang@mail.xjtu.edu.cn
Yi Lu
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, Shaanxi, China,luyi06@gmail.com
Cheng Chen
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, Shaanxi, China,chencheng1012@stu.xjtu.edu.cn
*Corresponding author.
Corresponding Author
Yao-Lin Jiang
Received 17 November 2015, Accepted 7 January 2016, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2016.1161258How to use a DOI?
- Keywords
- Extended quantum Zakharov-Kuznetsov equation; conserved vector; optimal system; similarity transformation; reduction
- Abstract
In this paper, the (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation is further explored. The equation is shown to be self-adjoint and conserved vector is constructed according to the related theorem. Then the corresponding optimal system of one-dimensional subgroups is determined. Similarity reductions of the equation under optimal system of subgroups are performed. As a result, the (2+1)-dimensional extended quantum Zakharov-Kuznetsov equation is reduced into a linear PDE with two independent variables.
- Copyright
- © 2016 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/).
Cite this article
TY - JOUR AU - Yao-Lin Jiang AU - Yi Lu AU - Cheng Chen PY - 2021 DA - 2021/01/06 TI - Conservation Laws and optimal system of extended quantum Zakharov-Kuznetsov equation JO - Journal of Nonlinear Mathematical Physics SP - 157 EP - 166 VL - 23 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1161258 DO - 10.1080/14029251.2016.1161258 ID - Jiang2021 ER -