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Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique

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Abstract

This paper presents an analytical solver which is known as a generalization of types methodologies. With the proposed method, one of the old but at the same time popular problem is considered, which is known as nonlinear Zoomeron equation, and its analytical solutions are tried to obtain. Moreover, the known solutions, many new analytical solutions are obtained via the proposed method. Plotting some simulations of the solutions, we can present a conclusion.

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Authors and Affiliations

  1. Department of Mathematics and Science Education, Faculty of Education, Harran University, Şanlıurfa, Turkey

    Wei Gao & Haci Mehmet Baskonus

  2. School of Information Science and Technology, Yunnan Normal University, Kunming, 650500, China

    Wei Gao

  3. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

  4. Department of Mathematics, Namık Kemal University, Tekirdağ, Turkey

    Zehra Pinar

  5. Department of Mathematics, Shanghai University, Shanghai, 200444, People’s Republic of China

    Shahzad Sarwar

  6. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal, 57000, Pakistan

    Shahzad Sarwar

  7. Faculty of Educational Sciences, Final International University, Mersin 10, Kyrenia, Turkey

    Gulnur Yel

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  1. Wei Gao
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  2. Hadi Rezazadeh
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  3. Zehra Pinar
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  4. Haci Mehmet Baskonus
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  5. Shahzad Sarwar
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  6. Gulnur Yel
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Correspondence to Haci Mehmet Baskonus.

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Gao, W., Rezazadeh, H., Pinar, Z. et al. Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique. Opt Quant Electron 52, 52 (2020). https://doi.org/10.1007/s11082-019-2162-8

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