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2014•Journal of the Association of Arab Universities for Basic and Applied SciencesOpen access

Exact solutions of the Zoomeron and Klein–Gordon–Zakharov equations

Ahmet Bekir, Filiz Taşcan, Ömer Ünsal

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Abstract

The first integral method was used to construct exact solutions of the Zoomeron and Klein–Gordon–Zakharov equations. The obtained results include new soliton and periodic solutions. The work confirms the significant features of the employed method and shows the variety of the obtained solutions. Throughout the paper, all the calculations are made with the aid of the Maple packet program.

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What this paper is about

The first integral method was used to construct exact solutions of the Zoomeron and Klein–Gordon–Zakharov equations. The obtained results include new soliton and periodic solutions. The work confirms the significant features of the employed method and shows the variety of the obtained solutions. Throughout the paper, all the calculations are made with the aid of the Maple packet program.

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Available abstract

The first integral method was used to construct exact solutions of the Zoomeron and Klein–Gordon–Zakharov equations. The obtained results include new soliton and periodic solutions. The work confirms the significant features of the employed method and shows the variety of the obtained solutions. Throughout the paper, all the calculations are made with the aid of the Maple packet program.

Key concepts: Maple, Variety (cybernetics), Construct (python library), Mathematics, Soliton, Work (physics), Applied mathematics, Exact solutions in general relativity

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