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New exact solutions of time fractional modified Kawahara equations in modelling surface tension in shallow-water and capillary gravity water waves

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Abstract.

In the present paper, we construct the analytical exact solutions of some nonlinear evolution equations in mathematical physics; namely time fractional modified Kawahara equations by using the (\( G^{\prime}/G\))-expansion method via fractional complex transform. As a result, new types of exact analytical solutions are obtained.

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Authors and Affiliations

  1. National Institute of Technology, Department of Mathematics, 769008, Rourkela, India

    S. Saha Ray & S. Sahoo

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  1. S. Saha Ray
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  2. S. Sahoo
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Correspondence to S. Saha Ray.

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Saha Ray, S., Sahoo, S. New exact solutions of time fractional modified Kawahara equations in modelling surface tension in shallow-water and capillary gravity water waves. Eur. Phys. J. Plus 132, 9 (2017). https://doi.org/10.1140/epjp/i2017-11276-4

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  • DOI: https://doi.org/10.1140/epjp/i2017-11276-4

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