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On the new hyperbolic and trigonometric structures to the simplified MCH and SRLW equations

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Abstract.

With the aid of the Wolfram Mathematica software, the powerful sine-Gordon expansion method is used in constructing some new solutions to the two well-known nonlinear models, namely, the simplified modified Camassa-Holm and symmetric regularized long-wave equations. We obtain some novel complex, trigonometric and hyperbolic function solutions to these two equations. We also plot the three-dimensional and two-dimensional graphics for each solutions obtained using the same programming code in Wolfram Mathematica software. Finally, we submit a comprehensive conclusions.

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Authors and Affiliations

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

    Hasan Bulut & Tukur Abdulkadir Sulaiman

  2. Yuzuncu Yil University, Department of Mathematics, Van, Turkey

    Fevzi Erdogan

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

    Haci Mehmet Baskonus

Authors
  1. Hasan Bulut
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  2. Tukur Abdulkadir Sulaiman
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  3. Fevzi Erdogan
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  4. Haci Mehmet Baskonus
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Corresponding author

Correspondence to Tukur Abdulkadir Sulaiman.

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Bulut, H., Sulaiman, T.A., Erdogan, F. et al. On the new hyperbolic and trigonometric structures to the simplified MCH and SRLW equations. Eur. Phys. J. Plus 132, 350 (2017). https://doi.org/10.1140/epjp/i2017-11619-1

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  • DOI: https://doi.org/10.1140/epjp/i2017-11619-1

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