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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Citation Formats

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.