Multisymplectic box schemes for the complex modified Korteweg-de Vries equation

Date

2010-08-01

Author

AYDIN, AYHAN
Karasözen, Bülent

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In this paper, two multisymplectic integrators, an eight-point Preissman box scheme and a narrow box scheme, are considered for numerical integration of the complex modified Korteweg-de Vries equation. Energy and momentum preservation of both schemes and their dispersive properties are investigated. The performance of both methods is demonstrated through numerical tests on several solitary wave solutions. (C) 2010 American Institute of Physics. [doi:10.1063/1.3456068]

Subject Keywords

Multi-symplectic methods, Numerical-methods, Hamiltonian pdes, Kdv equation, Integrators, Geometry, System

URI

https://hdl.handle.net/11511/31297

Journal

JOURNAL OF MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1063/1.3456068

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

A. AYDIN and B. Karasözen, “Multisymplectic box schemes for the complex modified Korteweg-de Vries equation,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 0–0, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/31297.