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Certain Traveling Wave Solutions for Fractional Extended Nonlinear Schro ̈ dinger Equations |
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PP: 29-43 |
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doi:10.18576/pfda/110103
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Author(s) |
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Rania Momani,
Asad Frihat,
Mohammed Alabedalhadi,
Shrideh Al-Omari,
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Abstract |
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| The fractional extended nonlinear Schro ̈dinger equation is investigated in this study. We effectively convert the governing model into a nonlinear ordinary differential equation using a sophisticated traveling wave transformation. By employing the Ansatz approach, we generate and study traveling wave solutions, specifically bright and kink wave solutions that satisfy certain parameter requirements. To gain deeper insights into the physical properties of the resulting traveling wave solutions, we employ 3D and 2D graphs at specific parameter values. This visualization provides valuable information about the characteristics and behavior of the solutions. Furthermore, we explore the influence of the fractional derivative on the obtained solution characteristics. Our research findings contribute to the understanding of nonlinear dynamics and demonstrate the existence and characteristics of bright and kink wave solutions in the fractional extended nonlinear Schro ̈dinger equation. Moreover, we enhance our understanding of fractional derivatives and their effects on wave propagation in nonlinear media.
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