NOVEL BRIGHT AND KINK OPTICAL SOLITON SOLUTIONS OF FRACTIONAL LAKSHMANAN–PORSEZIAN–DANIEL EQUATION WITH KERR LAW NONLINEARITY IN CONFORMABLE SENSE

M. Alabedalhadi, S. Alhazmi, S. Al-Omari, M. Al-SMADI and S. Momani
Additional contact information
M. Alabedalhadi: Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan
S. Alhazmi: ��Mathematics Department, College of Education for Girls at Al-Qunfudah, Umm Al-Qura University, Mecca KSA, Al-Kharj 11942, Saudi Arabia
S. Al-Omari: ��Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan
M. Al-SMADI: �College of Commerce and Business, Lusail University, Lusail, Qatar¶Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 20550, UAE
S. Momani: �Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 20550, UAE∥Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-15

Abstract: The fractional Lakshmanan–Porsezian–Daniel equation (LPD) is a significant complex model for the fractional Schrödinger family which arises in quantum physics. This paper explores new bright and kink soliton solutions of the space-time fractional LPD equation with the Kerr law of nonlinearity. By considering the conformable derivatives, the governing model is translated into integer-order differential equations with the aid of an appropriate complex traveling wave transformation. Dynamic behavior and phase portrait of traveling wave solutions are investigated. Further, various types of bright and kinked soliton solutions under definite parametric settings are discussed. Moreover, graphical representations of the obtained solution of the diverse fractional order are depicted to naturally illustrate the constructed solution.

Keywords: Optical Solitons; Fractional Calculus; Lakshmanan–Porsezian–Daniel Model; Traveling Wave Solutions; Conformable Derivative (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400042
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23400042

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23400042

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().