Novel Exact Solitary Wave Solutions for the Time Fractional Generalized Hirota–Satsuma Coupled KdV Model Through the Generalized Kudryshov Method

  • Harun-Or-Roshid Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh https://orcid.org/0000-0002-1687-623X
  • Mohammad Safi Ullah Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh
  • M. Zulfikar Ali Department of Mathematics, Rajshahi University, Rajshahi-6205, Bangladesh
  • Zillur Rahman Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh
Keywords: The generalized Kudryshov method, exact solitary wave solutions, time fractional generalized Hirota-Satsuma coupled (HSC) KdV system, conformable fractional derivative

Abstract

In the current article, the generalized Kudryshov method is applied to determine exact solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV model. Here, fractional derivative is illustrated in the conformable derivative. Therefore, plentiful exact traveling wave solutions are achieved for this model, which encourage us to enlarge, a novel technique to gain unsteady solutions of autonomous nonlinear evolution models those occurs in physical and engineering branches. The obtained traveling wave solutions are expressed in terms of the exponential and rational functions. It is effortless to widen that this method is powerful and will be applied in further tasks to create advance exclusively innovative solutions to other higher-order nonlinear conformable fractional differential model in engineering problems.

 

Author Biography

Harun-Or-Roshid, Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh

https://scholar.google.com/citations?user=7T027tgAAAAJ

 

Published
2019-09-27
How to Cite
Harun-Or-Roshid, Mohammad Safi Ullah, M. Zulfikar Ali and Zillur Rahman (2019) “Novel Exact Solitary Wave Solutions for the Time Fractional Generalized Hirota–Satsuma Coupled KdV Model Through the Generalized Kudryshov Method”, Contemporary Mathematics, 1(1), pp. 25-32. doi: 10.37256/cm.11201936.25-33.