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Conference Object Citation - WoS: 9Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrodinger equation(Elsevier Science Bv, 2011) Aydin, A.; Karasozen, B.In this paper, we construct a second order semi-explicit multi-symplectic integrator for the strongly coupled nonlinear Schrodinger equation based on the two-stage Lobatto IIIA-IIIB partitioned Runge-Kutta method. Numerical results for different solitary wave solutions including elastic and inelastic collisions, fusion of two solitons and with periodic solutions confirm the excellent long time behavior of the multi-symplectic integrator by preserving global energy, momentum and mass. (C) 2010 Elsevier B.V. All rights reserved.Article Citation - WoS: 39Citation - Scopus: 44Symplectic and Multi-Symplectic Methods for Coupled Nonlinear Schrodinger Equations With Periodic Solutions(Elsevier, 2007) Aydin, A.; Karasoezen, B.We consider for the integration of coupled nonlinear Schrodinger equations with periodic plane wave solutions a splitting method from the class of symplectic integrators and the multi-symplectic six-point scheme which is equivalent to the Preissman scheme. The numerical experiments show that both methods preserve very well the mass, energy and momentum in long-time evolution. The local errors in the energy are computed according to the discretizations in time and space for both methods. Due to its local nature, the multi-symplectic six-point scheme preserves the local invariants more accurately than the symplectic splitting method, but the global errors for conservation laws are almost the same. (C) 2007 Elsevier B.V. All rights reserved.
