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Any-Order Propagation of the Nonlinear Schroedinger Equation
Published
Author(s)
Frederick Strauch
Abstract
We derive an exact propagation scheme for nonlinear Schr\o}dinger equations. This scheme is entirely analogous to the propagation of linear Schr\o}dinger 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 multi-component equations, and to a new class of integrators.
Citation
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
Strauch, F.
(2008),
Any-Order Propagation of the Nonlinear Schroedinger Equation, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)
(Accessed October 12, 2025)