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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Citation Formats

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.