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Multisymplectic Schemes for the Complex Modified Korteweg-de Vries Equation
Date
2008-09-20
Author
AYDIN, AYHAN
Karasözen, Bülent
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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.
Subject Keywords
Complex modified Korteweg-de Vries equation
,
Multisymplectic integrator
,
Splitting
,
Solitons
URI
https://hdl.handle.net/11511/52927
Conference Name
International Conference on Numerical Analysis and Applied Mathematics
Collections
Graduate School of Applied Mathematics, Conference / Seminar
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A. AYDIN and B. Karasözen, “Multisymplectic Schemes for the Complex Modified Korteweg-de Vries Equation,” Psalidi, Greece , 2008, vol. 1048, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52927.