TOTALLY NEW SOLITON PHENOMENA IN THE FRACTIONAL ZOOMERON MODEL FOR SHALLOW WATER
Kang‐Le Wang
Abstract
The nonlinear fractional Zoomeron equation with [Formula: see text]-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.
Topics & Concepts
Fractional calculusSolitonNonlinear systemMathematicsVariable (mathematics)Mathematical analysisApplied mathematicsPhysicsQuantum mechanicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems