A construction of novel soliton solutions to the nonlinear fractional Kairat-II equation through computational simulation.

In this research paper, explored the newly exact soliton solutions of the nonlinear fractional Kairat-II equation under extended simple equation method. The set of Kairat-II equations recently introduced, which have important applications in the area of physics and engineering. The fractional Kairat-II equation is an integrable equation and it is used to explain the differential geometry of curves and equivalence aspects. In this study, varieties of exact soliton solutions explored by apply the extension form of simple equation method on base of computational simulation. The extracted soliton solutions to the nonlinear fractional Kairat-II equation having interested physical structure in periodic optical solitons, bright solitons, kink solitons, anti-kink solitons, traveling waves, dark solitons, mixed solitons, peakon solitons and solitary waves. The physical structure of extracted soliton solutions visualized in 2-dim, 3-dim and contour graphically with the help of numerical simulation under computational software Mathematica. The investigation show that the proposed approach is more effective, powerful, concise and efficient for the other nonlinear partial and fractional differential equations. [ABSTRACT FROM AUTHOR]