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Multisymplectic box schemes for the complex modified Korteweg-de Vries equation
Date
2010-08-01
Author
AYDIN, AYHAN
Karasözen, Bülent
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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