Year: 2024
Author: Hui Xu, Minyuan Liu
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 919–929
Abstract
Based on Lie symmetry theory, the exact solutions of the hyperbolic Monge-Ampère equation are studied. Firstly, the invariance of the Lie symmetry group is applied to obtain the six-dimensional Lie algebras, then the commutator table and the adjoint representation of the equation are obtained, based on which the optimal system is found. Finally, the exact solutions are obtained by symmetry reduction which transforms the PDEs into easily solvable ODEs.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.919
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 919–929
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Optimal system exact solution Lie symmetry hyperbolic Monge-Ampère equation.