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arXiv · 0707.4164

Any-order propagation of the nonlinear Schroedinger equation

Frederick W. Strauch
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Abstract

We derive an exact propagation scheme for nonlinear Schroedinger equations. This scheme is entirely analogous to the propagation of linear Schroedinger 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.

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Frederick W. Strauch. 2007-07-27. Any-order propagation of the nonlinear Schroedinger equation. https://doi.org/10.1103/physreve.76.046701

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