Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrodinger equation

Date

2011-06-15

Author

AYDIN, AYHAN
Karasözen, Bülent

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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.

Subject Keywords

Nonlinear Schrodinger equation, Multi-symplectic integration, Lobatto IIIA-IIIB methods, Solitons

URI

https://hdl.handle.net/11511/29976

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

DOI

https://doi.org/10.1016/j.cam.2010.09.017

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

A. AYDIN and B. Karasözen, “Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrodinger equation,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, pp. 4770–4779, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/29976.