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Novel hyperbolic behaviors to some important models arising in quantum science

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Abstract

In this study, with the help of Wolfram Mathematica 9 software, the powerful sine-Gordon expansion method is used in constructing new hyperbolic function solutions to the two well known nonlinear differential equations that arise in the field of nonlinear sciences, namely; the modified Zakharov–Kuznetsov and the (2+1)-dimensional cubic Klein–Gordon equations. We also plot the two- and three-dimensional graphics of all the obtained solutions in this paper by utilizing the same program in the Wolfram Mathematica 9 software.

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Authors and Affiliations

  1. Department of Mathematics, Firat University, Elazig, Turkey

    Hasan Bulut, Tukur Abdulkadir Sulaiman & Tugba Yazgan

  2. Department of Computer Engineering, Munzur University, Tunceli, Turkey

    Haci Mehmet Baskonus

Authors
  1. Hasan Bulut
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  2. Tukur Abdulkadir Sulaiman
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  3. Haci Mehmet Baskonus
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  4. Tugba Yazgan
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Correspondence to Hasan Bulut.

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Bulut, H., Sulaiman, T.A., Baskonus, H.M. et al. Novel hyperbolic behaviors to some important models arising in quantum science. Opt Quant Electron 49, 349 (2017). https://doi.org/10.1007/s11082-017-1181-6

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