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Bifurcations of the time-fractional generalized coupled Hirota-Satsuma KdV system

Marwan Alquran / Kamel Al-Khaled / Mohammed Ali / Omar Abu Arqub
Published Online: 2017-04-27 | DOI: https://doi.org/10.1515/wwfaa-2017-0003


The Hirota-Satsuma model with fractional derivative is considered to provide some characteristics of memory embedded into the system. The modified system is analyzed analytically using a new technique called residual power series method. We observe thatwhen the value of memory index (time-fractional order) is close to zero, the solutions bifurcate and produce a wave-like pattern.

Keywords: Fractional Hirota-Satsuma system; Caputo derivative; Approximate solutions; Generalized Taylor series; Residual power series


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About the article

Received: 2016-04-12

Accepted: 2017-03-06

Published Online: 2017-04-27

Published in Print: 2017-04-01

Citation Information: Waves, Wavelets and Fractals, Volume 3, Issue 1, Pages 31–39, ISSN (Online) 2449-5557, DOI: https://doi.org/10.1515/wwfaa-2017-0003.

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© 2017. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License. BY-NC-ND 4.0

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