Lie symmetry analysis and exact solutions of the (2+1)-dimensional generalized KdV equation
Authors
Yu-Shan Bai1, *, Ya-Na Liu2
1College of Science, Inner Mongolia University of Technology, Hohhot, 010051, People’s Republic of China
2College of Science, Inner Mongolia University of Technology, Hohhot, 010051, People’s Republic of China
*Corresponding author.
Email: mbaiyushan@imut.edu.cn
Corresponding Author
Yu-Shan Bai
Available Online 31 December 2023.
- DOI
- 10.2991/978-94-6463-330-6_5How to use a DOI?
- Keywords
- (2+1)-dimensional generalized KdV equation; Lie symmetry; Exact solutions; Riccati equation expansion method
- Abstract
In this paper, the symmetry group method is used to study a new (2 + 1)-dimensional generalized KdV equation. The Lie point symmetries of (2 + 1)-dimensional generalized KdV equation are obtained. Symmetry reductions and several interesting explicit solutions to the (2 + 1)-dimensional generalized KdV equation are given by the Riccati equation expansion method.
- Copyright
- © 2023 The Author(s)
- Open Access
- Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.
Cite this article
TY - CONF AU - Yu-Shan Bai AU - Ya-Na Liu PY - 2023 DA - 2023/12/31 TI - Lie symmetry analysis and exact solutions of the (2+1)-dimensional generalized KdV equation BT - Proceedings of the International Conference on Applied Sciences and Engineering (ICASE 2023) PB - Atlantis Press SP - 31 EP - 36 SN - 2589-4943 UR - https://doi.org/10.2991/978-94-6463-330-6_5 DO - 10.2991/978-94-6463-330-6_5 ID - Bai2023 ER -