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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Green Open Access
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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.
Description
Karasozen, Bulent/0000-0003-1037-5431
ORCID
Keywords
Nonlinear Schrodinger equation, Multi-symplectic integration, Lobatto IIIA-IIIB methods, Solitons, Computational Mathematics, Applied Mathematics, Nonlinear Schrödinger equation, Lobatto IIIA–IIIB methods, Multi-symplectic integration, Solitons, Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems, numerical examples, NLS equations (nonlinear Schrödinger equations), elastic and inelastic collisions, periodic solutions, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, numerical results, solitary wave solutions, Numerical methods for Hamiltonian systems including symplectic integrators, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Lobatto IIIA-IIIB methods, solitons, Runge-Kutta method, multi-symplectic integration, nonlinear Schrödinger equation, Hamiltonian structures, symmetries, variational principles, conservation laws
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q1
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OpenCitations Citation Count
10
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
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Scopus : 11
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