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A Novel (G'/G)-Expansion Method and its Application to the Space-Time Fractional Symmetric Regularized Long Wave (SRLW) Equation

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Abstract:

In this work, we use the fractional complex transformation which converts nonlinear fractional partial differential equation to nonlinear ordinary differential equation. A fractional novel (G`/G) - expansion method is used to look for exact solutions of nonlinear evolution equation with the aid of symbolic computation. To check the validity of the method we choose the space-time fractional symmetric regularized long wave (SRLW) equation and as a result, many exact analytical solutions are obtained including hyperbolic function solutions, trigonometric function solutions, and rational solutions. The performance of the method is reliable, useful and gives more new general exactsolutions than the existing methods.

Info:

Periodical:
Advanced Trends in Mathematics (Volume 2)
Pages:
1-16
Citation:
M. Shakeel and S. T. Mohyud-Din, "A Novel (G'/G)-Expansion Method and its Application to the Space-Time Fractional Symmetric Regularized Long Wave (SRLW) Equation", Advanced Trends in Mathematics, Vol. 2, pp. 1-16, 2015
Online since:
March 2015
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Cited By:

[1] H. Baskonus, T. Sulaiman, H. Bulut, "On the novel wave behaviors to the coupled nonlinear Maccari's system with complex structure", Optik - International Journal for Light and Electron Optics, Vol. 131, p. 1036, 2017

DOI: https://doi.org/10.1016/j.ijleo.2016.10.135

[2] S. Mohyud-Din, S. Bibi, "Exact solutions for nonlinear fractional differential equations using exponential rational function method", Optical and Quantum Electronics, Vol. 49, 2017

DOI: https://doi.org/10.1007/s11082-017-0895-9