Abstract
This research paper is about to obtain new soliton solutions to the M-fractional (1+1)-dimensional nonlinear Westervelt model by utilizing $\exp_a$ function and modified simplest equation techniques. The gained solutions involving dark, bright, periodic, dark-bright and other solitons. These results have many applications in wave propagation of sound waves, high amplitude in medical imaging and therapy. Achieved results are verified by Mathematica tool and the effect of M-fractional derivative on the solutions is explained through 2-Dimensional, 3-Dimensional and contour plots. At the end, these techniques are simple, fruitful and effective to deal with nonlinear FPDEs.
Keywords
Soliton
Nonlinear system
Physics
Fractional calculus
Simple (philosophy)
Amplitude
Function (biology)
Mathematical analysis
Mathematical physics
Calculus (dental)
Theoretical physics
Optics
Mathematics
Quantum mechanics
Philosophy
Subject Areas
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Nonlinear Waves and Solitons
·Statistical and Nonlinear Physics ·Physical Sciences
Numerical methods in engineering
·Mechanics of Materials ·Physical Sciences
Citations by Year
2024: 1
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