Analysis of the evolution equation of a hyperbolic curve flow via Lie symmetry method

Hyperbolic Monge-Ampère Equation

“…They primarily study Lie symmetry analysis and exact solutions for the coupled integrable no dispersion equations, and gave the exact solution in the form of power series [7]. Then, by applying the classical symmetry method, Gao obtained the group invariant solution, the optimal system and the exact solution of the evolution equation of a hyperbolic curve flow [8]. Gao also discussed the normal hyperbolic mean curvature flow with dissipation, and obtained the symmetric optimal system and exact solutions by applying Lie symmetry method [9].…”