TOTALLY NEW SOLITON PHENOMENA IN THE FRACTIONAL ZOOMERON MODEL FOR SHALLOW WATER

The nonlinear fractional Zoomeron equation with M-truncated fractional derivative, which is widely used in physics and engineering, is the major subject of this study. Using the fractional functional variable approach and fractional variational method, we effectively derived several new soliton solutions to the nonlinear fractional Zoomeron equation. The two concepts that are suggested can be used to quickly and effectively find the solutions to the same kinds of fractional evolution equations. Finally, various 3D and 2D simulation figures are plotted to show the physical characteristics of these acquired soliton solutions.