Multisymplectic Box Schemes for the Complex Modified Korteweg-De Vries Equation
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Date
2010
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Amer inst Physics
Open Access Color
Green Open Access
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Abstract
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]
Description
Karasozen, Bulent/0000-0003-1037-5431
ORCID
Keywords
[No Keyword Available], KdV equations (Korteweg-de Vries equations), Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Symplectic manifolds (general theory), Solitary waves for incompressible inviscid fluids
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Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Q3
Scopus Q
Q3
OpenCitations Citation Count
13
Source
Journal of Mathematical Physics
Volume
51
Issue
8
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CrossRef : 12
Scopus : 16
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