title: Any-order propagation of the nonlinear Schrödinger equation.
abstract: We derive an exact propagation scheme for nonlinear Schrödinger equations. This scheme is entirely analogous to the propagation of linear Schrödinger equations. We accomplish this by defining a special operator whose algebraic properties ensure the correct propagation. As applications, we provide a simple proof of a recent conjecture regarding higher-order integrators for the Gross-Pitaevskii equation, extend it to multicomponent equations, and to a new class of integrators.
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8423, USA. fstrauch@gettysburg.edu
authors.forename: Frederick W
authors.initials: FW
authors.lastname: Strauch