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Analytical study of solitons to nonlinear time fractional parabolic equations

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Abstract

The some of the well-known nonlinear time fractional parabolic partial differential equations is studied in this paper. The fractional complex transform and the first integral method are employed to construct one-soliton solutions of these equations. The power of this manageable method is confirmed. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions.

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Authors and Affiliations

  1. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, 44891-63157, Rudsar-Vajargah, Iran

    M. Mirzazadeh

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  1. M. Mirzazadeh
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Mirzazadeh, M. Analytical study of solitons to nonlinear time fractional parabolic equations. Nonlinear Dyn 85, 2569–2576 (2016). https://doi.org/10.1007/s11071-016-2845-7

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  • DOI: https://doi.org/10.1007/s11071-016-2845-7

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