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Soliton Solutions for the Time Fractional Hamiltonian System by Various Approaches

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Abstract

In this paper, we apply the ansatz method, the exp-function method and the (G′/G)-expansion method to establish the exact solutions of the time fractional Hamiltonian system in the sense of the Jumarie’s modified Riemann–Liouville derivative. These methods are applied to obtain soliton solutions to the model equations. These results and the solution methodology make a profound impact in the study of soliton solutions. As a result, some soliton solutions for them are obtained. The results show that these methods are a very effective and powerful mathematical tool for solving nonlinear fractional equations arising in mathematical physics.

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Acknowledgements

The second author was supported by Turkish Academy of Sciences (TÜBA).

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Authors and Affiliations

  1. Department of International Trade, Faculty of Economics and Administrative Sciences, Cankiri Karatekin University, Cankiri, Turkey

    Ozkan Guner

  2. Department of Mathematics-Computer, Art-Science Faculty, Eskisehir Osmangazi University, Eskisehir, Turkey

    Ahmet Bekir

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  1. Ozkan Guner
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  2. Ahmet Bekir
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Correspondence to Ahmet Bekir.

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Guner, O., Bekir, A. Soliton Solutions for the Time Fractional Hamiltonian System by Various Approaches. Iran J Sci Technol Trans Sci (2018). https://doi.org/10.1007/s40995-018-0504-1

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