Multisymplectic Schemes for the Complex Modified Korteweg-De Vries Equation

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Date

2008

Authors

Aydin, A.
Karasoezen, B.

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Publisher

Amer inst Physics

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Abstract

In this paper, the multisymplectic formulation of the CMKdV(complex modified Korteweg-de Vries equation) is derived. Based on the multisymplectic formulation, the eight-point multisymplectic Preissman scheme and a linear-nonlinear multisymplectic splitting scheme are developed. Both methods are compared numerically with respect to the conservation of local and global quantities of the CMKdV equation.

Description

Karasozen, Bulent/0000-0003-1037-5431

Keywords

complex modified Korteweg-de Vries equation, multisymplectic integrator, splitting, solitons

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1

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Q4

Source

International Conference on Numerical Analysis and Applied Mathematics -- SEP 16-20, 2008 -- Psalidi, GREECE

Volume

1048

Issue

Start Page

60

End Page

+

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