Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrodinger equation
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Date
2011
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Elsevier Science Bv
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Abstract
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.
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Karasozen, Bulent/0000-0003-1037-5431
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Keywords
Nonlinear Schrodinger equation, Multi-symplectic integration, Lobatto IIIA-IIIB methods, Solitons
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Source
14th International Congress on Computational and Applied Mathematics (ICCAM) -- SEP 29-OCT 02, 2009 -- Antalya, TURKEY
Volume
235
Issue
16
Start Page
4770
End Page
4779