Conservative finite difference schemes for the chiral nonlinear Schrödinger equation

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dc.contributor.authorISMAIL, Mohammed S.
dc.contributor.authorAL-BASYOUNI, Khalil S.
dc.contributor.authorAYDIN, Ayhan
dc.date.accessioned2022-08-08T07:56:02Z
dc.date.available2022-08-08T07:56:02Z
dc.date.issued2015-08-08
dc.description.abstractIn 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.
dc.identifier.urihttp://hdl.handle.net/20.500.11905/1516
dc.language.isoen
dc.publisherBoundary Value Problems
dc.subjectmathematics
dc.titleConservative finite difference schemes for the chiral nonlinear Schrödinger equation
dc.typeArticle
dspace.entity.type

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