Volume 27, Issue 4, September 2020, Pages 581 - 591
Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system
Authors
Yarong Xia
School of Computer Science, Shaanxi Normal University, Xi’an, Shaanxi, 710119, People’s Republic of China
School of Information and Engineering, Shaanxi Joint Laboratory for Artificial Intelligence, Xi’an University, Xi’an, Shaanxi, 710065, People’s Republic of China,xiayarong2014@126.com
Ruoxia Yao*
School of Computer Science, Shaanxi Normal University, Xi’an, Shaanxi, 710119, People’s Republic of China,rxyao2@hotmail.com
Xiangpeng Xin
School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong, 252059, People’s Republic of China,xinxiangpeng2012@gmail.com
*Corresponding author.
Corresponding Author
Ruoxia Yao
Received 18 July 2019, Accepted 3 January 2020, Available Online 4 September 2020.
- DOI
- 10.1080/14029251.2020.1819601How to use a DOI?
- Keywords
- Nonlocal symmetry; Group invariant solution; Lie point symmetry; Symmetry reduction; Variable-coefficient Newell-Whitehead system
- Abstract
Starting from the Lax pairs, the nonlocal symmetries of the coupled variable-coefficient Newell-Whitehead system are obtained. By introducing an appropriate auxiliary dependent variable, the nonlocal symmetries are localized to Lie point symmetries and the coupled variable-coefficient Newell-Whitehead system is extended to an enlarged system with the auxiliary variable. Then the finite symmetry transformation for the prolonged system is found by solving the initial-value problems. Furthermore, by applying symmetry reduction method to the enlarged system, two kinds of the group invariant solutions are given.
- Copyright
- © 2020 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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TY - JOUR AU - Yarong Xia AU - Ruoxia Yao AU - Xiangpeng Xin PY - 2020 DA - 2020/09/04 TI - Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system JO - Journal of Nonlinear Mathematical Physics SP - 581 EP - 591 VL - 27 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1819601 DO - 10.1080/14029251.2020.1819601 ID - Xia2020 ER -