Year: 2023
Author: Ben Yang, Yunjia Song, Yanzhi Ma, Xinxue Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 708–719
Abstract
Based on classical Lie symmetry method, the one-dimensional nonlinear wave equation is investigated. By using four-dimensional subalgebras of the equation, the invariant groups and commutator table are constructed. Furthermore, optimal system of the equation is obtained, and the exact solutions can be gained by solving reduced equations. Finally, a complete derivation of the conservation law is given by using conservation multipliers.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.708
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 708–719
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: One-dimensional nonlinear wave equation Lie symmetry optimal system conservation law.