NEW SOLITON SOLUTIONS OF NONLINEAR SPACE-TIME FRACTIONAL (2+1)-DIMENSIONAL ABLOW KAUP-NEWELL_SEGUR (AKNS) EQUATION BY STANDARD AND IMPROVED -EXPANSION METHOD

Author(s): 

Ali A. Mustafa1, Wafaa M. Taha2*, and A R Seadawy3,4

Affiliation(s): 

1Department of Math., College Education for Pure Sciences, Tikrit University
2Department of Math., College of Sciences, Kirkuk University, Iraq
3Mathematics Department, Faculty of Science, Taibah University, Medina, Saudi Arabia
4Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt

*Corresponding Author Email: Wafaa_y2005@yahoo.com

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In this essay, we offer the standard and improved  expansion method to seek right solutions of nonlinear fractional differential equation (2+1)-dimensional Ablow Kaup-Newell_Segur (AKNS) with the fractional complex transform. The fractional derivative is defined in the sense of modified Riemann-Liouville derivative. The solutions of this equation are acquired through of the hyperbolic, trigonometrical and rational functions. It has been shown the expansion method award several novel results which are effectual and easy to calculate by the assist of a symbolic computation system.