Monge equation
In the mathematical theory of partial differential equations, a Monge equation, named after Gaspard Monge, is a type of first-order partial differential equation. A Monge equation is a function of type F ( u , q 1 : n , p 1 : n ) : R 2 n + 1 → R {\displaystyle F(u,q^{1:n},p_{1:n}):\mathbb {R} ^{2n+1}\to \mathbb {R} } .