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Symplectic and multisymplectic Lobatto methods for the "good" Boussinesq equation
Date
2008-08-01
Author
AYDIN, AYHAN
Karasözen, Bülent
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In this paper, we construct second order symplectic and multisymplectic integrators for the "good" Boussineq equation using the two-stage Lobatto IIIA-IIIB partitioned Runge-Kutta method, which yield an explicit scheme and is equivalent to the classical central difference approximation to the second order spatial derivative. Numerical dispersion properties and the stability of both integrators are investigated. Numerical results for different solitary wave solutions confirm the excellent long time behavior of symplectic and multisymplectic integrators by preservink local and global energy and momentum. (C) 2008 American Institute of Physics.
Subject Keywords
Partitioned runge-kutta
,
Numerical-methods
,
Solitary waves
URI
https://hdl.handle.net/11511/31231
Journal
JOURNAL OF MATHEMATICAL PHYSICS
DOI
https://doi.org/10.1063/1.2970148
Collections
Graduate School of Applied Mathematics, Article
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A. AYDIN and B. Karasözen, “Symplectic and multisymplectic Lobatto methods for the “good” Boussinesq equation,”
JOURNAL OF MATHEMATICAL PHYSICS
, pp. 0–0, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31231.