Title: THE HAMILTON–JACOBI EQUATIONS FOR STRINGS AND p-BRANES
Abstract: Simple derivation of the Hamilton–Jacobi equation for bosonic strings and p-branes is given. The motions of classical strings and p-branes are described by two and p+1 local fields, respectively. A variety of local field equations which reduce to the Hamilton–Jacobi equation in the classical limit are given. They are essentially nonlinear, having no linear term.