<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This study reaches the dark, bright, mixed dark-bright, and singular optical solitons to the fractional Schr<italic>ö</italic>dinger-Hirota equation with a truncated <italic>M</italic>-fractional derivative via the extended sinh-Gordon equation expansion method. Dark soliton describes the solitary waves with lower intensity than the background, bright soliton describes the solitary waves whose peak intensity is larger than the background, and the singular soliton solutions is a solitary wave with discontinuous derivatives; examples of such solitary waves include compactions, which have finite (compact) support, and peakons, whose peaks have a discontinuous first derivative. The constraint conditions for the existence of valid solutions are given. We use some suitable values of the parameters in plotting 3-dimensional surfaces to some of the reported solutions.</p>
</abstract>

This study reaches the dark, bright, mixed dark-bright, and singular optical solitons to the fractional Schrödinger-Hirota equation with a truncated M-fractional derivative via the extended sinh-Gordon equation expansion method. Dark soliton describes the solitary waves with lower intensity than the background, bright soliton describes the solitary waves whose peak intensity is larger than the background, and the singular soliton solutions is a solitary wave with discontinuous derivatives; examples of such solitary waves include compactions, which have finite (compact) support, and peakons, whose peaks have a discontinuous first derivative. The constraint conditions for the existence of valid solutions are given. We use some suitable values of the parameters in plotting 3-dimensional surfaces to some of the reported solutions.

Optical solitons to the fractional Schr<italic>ö</italic>dinger-Hirota equation

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Optical solitons to the fractional Schrdinger-Hirota equation

This study reaches the dark, bright, mixed dark-bright, and singular optical solitons to the fractional Schrödinger-Hirota equation with a truncated...

Optical solitons to the fractional Schrödinger-Hirota equation

Online veröffentlicht: 26. Dez. 2019

Seitenbereich: 535 - 542

Eingereicht: 30. Juli 2019

Akzeptiert: 25. Aug. 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00050

Schlüsselwörter
M-fractional derivative, sinh-Gordon equation, Schrdinger-Hirota equation, optical soliton

© 2019 Tukur Abdulkadir Sulaiman et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Fig. 1

Fig. 2

Optical solitons to the fractional Schrödinger-Hirota equation

Online veröffentlicht: 26. Dez. 2019

Seitenbereich: 535 - 542

Eingereicht: 30. Juli 2019

Akzeptiert: 25. Aug. 2019

DOI: https://doi.org/10.2478/AMNS.2019.2.00050

SchlüsselwörterM-fractional derivative, sinh-Gordon equation, Schrdinger-Hirota equation, optical soliton

© 2019 Tukur Abdulkadir Sulaiman et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 Public License.

Fig. 1

Fig. 2

Schlüsselwörter
M-fractional derivative, sinh-Gordon equation, Schrdinger-Hirota equation, optical soliton