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Conservative finite difference schemes for the chiral nonlinear Schrödinger equation

BROWSE_DETAIL_CREATION_DATE: 29-07-2015

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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,

BROWSE_DETAIL_CREATORS: Aydin , Ayhan (Author), Al-Basyouni, Khalil S (Author), Ismail, Mohammad S (Author),

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BROWSE_DETAIL_DOI: 10.1186/s13661-015-0350-4

BROWSE_DETAIL_URL: http://link.springer.com/article/10.1186%2Fs13661-015-0350-4

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In this paper, we derive three finite difference schemes for the chiral nonlinear Schrödinger equation (CNLS). The CNLS equation has two kinds of progressive wave solutions: bright and dark soliton. The proposed methods are implicit, unconditionally stable and of second order in space and time directions. The exact solutions and the conserved quantities are used to assess the efficiency of these methods. Numerical simulations of single bright and dark solitons are given. The interactions of two bright solitons are also displayed.


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Open Access Material

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Springer International Publishing


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