Karasözen, BülentAkkoyunlu, CananUzunca, Murat2018-07-132018-07-132015-05-010096-30031873-5649https://doi.org/10.1016/j.amc.2015.02.001https://hdl.handle.net/11413/2076We apply the proper orthogonal decomposition (POD) to the nonlinear Schrodinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure preserving symplectic mid-point rule. A priori error estimates are derived for the POD reduced dynamical system. Numerical results for one and two dimensional NLS equations, coupled NLS equation with soliton solutions show that the low-dimensional approximations obtained by POD reproduce very well the characteristic dynamics of the system, such as preservation of energy and the solutions. (C) 2015 Elsevier Inc. All rights reserved.en-USNonlinear Schrodinger equationProper orthogonal decompositionModel order reductionError analysisArticle351668500047351668500047