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Lobatto IIIA–IIIB discretization of the strongly coupled nonlinear Schrödinger equation

BROWSE_DETAIL_CREATION_DATE: 11-08-2015

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BROWSE_DETAIL_TYPE: Article

BROWSE_DETAIL_PUBLISH_STATE: Published

BROWSE_DETAIL_FORMAT: No File

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_SUBJECTS: SCIENCE, Mathematics,

BROWSE_DETAIL_CREATORS: Aydin , Ayhan (Author), Karasözen, Bülent (Author),

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BROWSE_DETAIL_TAB_KEYWORDS
  • Nonlinear Schrödinger equation, Multi-symplectic integration, Lobatto IIIA–IIIB methods, Solitons



BROWSE_DETAIL_TAB_ABSTRACT

In this paper, we construct a second order semi-explicit multi-symplectic integrator for the strongly coupled nonlinear Schrödinger 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.


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Volume 235, Issue 16, 15 June 2011, Pages 4770–4779



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