Effect of truncated M-fractional derivative on the new exact solitons to the Shynaray-IIA equation and stability analysis

Abstract

We explore the new exact solitons of truncated M-fractional nonlinear (1+1)-dimensional Shynaray-IIA equation by applying the expa function, Kudryashov and modified simplest equation techniques. This model represents the phenomena such as tidal waves, tsunamis etc. The obtained results including the kink, singular and other soliton solutions. The gained results satisfied the given model and represented by 2-dimensional, 3-dimensional and contour graphs. The gained results are not present already because of the application of fractional derivative. The effect of the novel definition of derivative on the gained results are also represented by graphically. Stability analysis of the concerned model is also discussed. Hence, the achieved solutions are useful for the future work of the concerned equation. At the end, the applied techniques are simple, fruitful and reliable to solve the other models in mathematical physics.

Keywords

• Shynaray-IIA equation
• Truncated M-fractional derivative
• Exact solitons
• Stability analysis