On a class of linearizable Monge-Ampère equations

Daniel J. Arrigo, James M. Hill

Monge-Ampère equations of the form, $u_{xx}{u}_{yy}-u_{xy}^2=F(u,u_x,u_y)$ arise in many areas of fluid and solid mechanics. Here it is shown that in the special case $F=u_y^4f(u, u_…