TY - JOUR
T1 - Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow
AU - Zhang , Han
AU - Wang , Zenggui
JO - Journal of Mathematical Study
VL - 3
SP - 271
EP - 280
PY - 2022
DA - 2022/09
SN - 55
DO - http://doi.org/10.4208/jms.v55n3.22.04
UR - https://global-sci.org/intro/article_detail/jms/20976.html
KW - Lie symmetry analysis, hyperbolic geometric flow, one-dimensional optimal system, invariant solutions.
AB - <p style="text-align: justify;">By analyzing Lie symmetric algebra of the hyperbolic geometric flow, the one-dimensional optimal system of the symmetries to the equation is obtained, and we use similarity reduction to find the reduced equation. By solving the reduced equations, the invariant solutions of the hyperbolic geometric flow are finally obtained.</p>