Nonlocal symmetries and group invariant solutions for the coupled variable-coefficient Newell-Whitehead system
- https://doi.org/10.1080/14029251.2020.1819601How to use a DOI?
- Nonlocal symmetry, Group invariant solution, Lie point symmetry, Symmetry reduction, Variable-coefficient Newell-Whitehead system
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.
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Cite this article
TY - JOUR AU - Yarong Xia AU - Ruoxia Yao AU - Xiangpeng Xin PY - 2020 DA - 2020/09 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 - https://doi.org/10.1080/14029251.2020.1819601 ID - Xia2020 ER -