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Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions

BROWSE_DETAIL_CREATION_DATE: 11-08-2015

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BROWSE_DETAIL_TYPE: Article

BROWSE_DETAIL_PUBLISH_STATE: Published

BROWSE_DETAIL_FORMAT: No File

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_SUBJECTS: SCIENCE, Mathematics,

BROWSE_DETAIL_CREATORS: Aydin , Ayhan (Author),

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coupled nonlinear Schrödinger equation, solitons, dispersion, multi-symplectic methods


BROWSE_DETAIL_TAB_ABSTRACT

N-coupled nonlinear Schrödinger equation (N-CNLS) is shown to be in multisymplectic form. 3-CNLS equation is studied for analytical and numerical purposes. A new six-point scheme which is equivalent to the multisymplectic Preissman scheme is derived for 3-CNLS equation. A new periodic wave solution is obtained and its stability analysis is discussed. 3-CNLS equation is integrated for destabilized periodic solutions both for integrable and non-integrable cases by multisymplectic six-point scheme. Different kinds of evolutions are observed for different parameters and coefficients of the system. Numerical results show that, the multisymplectic six-point scheme has excellent local and global conservation properties in long-time computation.


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