TITLE:
Hyperbolic Monge-Ampère Equation
AUTHORS:
Fang Gao
KEYWORDS:
Hyperbolic Monge-Ampère Equation, Lie Symmetry, One-Dimensional Optimal System, Group-Invariant Solutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.12,
December
23,
2020
ABSTRACT: In this paper, based on the Lie symmetry method, the symmetry group of a hyperbolic Monge-Ampère equation is obtained first, then the one-dimensional optimal system of the obtained symmetries is given, and finally the group-invariant solutions are investigated.