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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)

Keywords

Bose-Einstein condensate, exponential operators, Gross-Pitaevskii equation, nonlinear Schrodinger equation

Citation

Strauch, F. (2008), Any-Order Propagation of the Nonlinear Schroedinger Equation, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) (Accessed June 24, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created October 16, 2008