New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity

Saleh Alshammari; Mohammed Alabedalhadi; Mohammed Al-Smadi; Shaher Momani; Samir Hadid

doi:10.1109/ICFDA58234.2023.10153318

New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity

Saleh Alshammari
, Mohammed Alabedalhadi
, Mohammed Al-Smadi
, Shaher Momani
, Samir Hadid

Nonlinear Dynamic Research Centre (NDRC)

University of Hail
Al-Balqa Applied University
Lusail University
University of Jordan
Ajman University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The paper deals with the fractional spatio-temporal Lakshmanan-Porsezian-Daniel equation, where the nonlinearity terms consider in parabolic law. The governing model is reduced to an integer-order ordinary differential equation via a complex traveling wave transformation. We analyze the dynamic behavior and the gained phase portrait to ensure the existence of traveling wave solutions for the proposed model. A bright soliton solution for the fractional spatiotemporal Lakshmanan-Porsezian-Daniel equation will be constructed. In addition, kink soliton solution is also will obtained. We depicted the established solutions, in 2 and 3-dimensions, to understand their characteristics of naturality.

Original language	English
Title of host publication	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9798350321685
DOIs	https://doi.org/10.1109/ICFDA58234.2023.10153318
State	Published - 2023
Event	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 - Ajman, United Arab Emirates Duration: 14 Mar 2023 → 16 Mar 2023

Publication series

Name	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

Conference

Conference	2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Country/Territory	United Arab Emirates
City	Ajman
Period	14/03/23 → 16/03/23

Keywords

Fractional Lakshmanan-Porsezian Daniel model
Parabolic law
Solitons
The truncated M-fractional derivative

Access to Document

10.1109/ICFDA58234.2023.10153318

Cite this

Alshammari, S., Alabedalhadi, M., Al-Smadi, M., Momani, S., & Hadid, S. (2023). New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity. In 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICFDA58234.2023.10153318

Alshammari, Saleh ; Alabedalhadi, Mohammed ; Al-Smadi, Mohammed et al. / New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity. 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023).

@inproceedings{a53e5f105a054547b886b5fc691bce79,

title = "New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity",

abstract = "The paper deals with the fractional spatio-temporal Lakshmanan-Porsezian-Daniel equation, where the nonlinearity terms consider in parabolic law. The governing model is reduced to an integer-order ordinary differential equation via a complex traveling wave transformation. We analyze the dynamic behavior and the gained phase portrait to ensure the existence of traveling wave solutions for the proposed model. A bright soliton solution for the fractional spatiotemporal Lakshmanan-Porsezian-Daniel equation will be constructed. In addition, kink soliton solution is also will obtained. We depicted the established solutions, in 2 and 3-dimensions, to understand their characteristics of naturality.",

keywords = "Fractional Lakshmanan-Porsezian Daniel model, Parabolic law, Solitons, The truncated M-fractional derivative",

author = "Saleh Alshammari and Mohammed Alabedalhadi and Mohammed Al-Smadi and Shaher Momani and Samir Hadid",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023 ; Conference date: 14-03-2023 Through 16-03-2023",

year = "2023",

doi = "10.1109/ICFDA58234.2023.10153318",

language = "English",

series = "2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

booktitle = "2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023",

address = "United States",

}

Alshammari, S, Alabedalhadi, M, Al-Smadi, M, Momani, S & Hadid, S 2023, New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity. in 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Institute of Electrical and Electronics Engineers Inc., 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023, Ajman, United Arab Emirates, 14/03/23. https://doi.org/10.1109/ICFDA58234.2023.10153318

New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity. / Alshammari, Saleh; Alabedalhadi, Mohammed; Al-Smadi, Mohammed et al.
2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity

AU - Alshammari, Saleh

AU - Alabedalhadi, Mohammed

AU - Al-Smadi, Mohammed

AU - Momani, Shaher

AU - Hadid, Samir

PY - 2023

Y1 - 2023

N2 - The paper deals with the fractional spatio-temporal Lakshmanan-Porsezian-Daniel equation, where the nonlinearity terms consider in parabolic law. The governing model is reduced to an integer-order ordinary differential equation via a complex traveling wave transformation. We analyze the dynamic behavior and the gained phase portrait to ensure the existence of traveling wave solutions for the proposed model. A bright soliton solution for the fractional spatiotemporal Lakshmanan-Porsezian-Daniel equation will be constructed. In addition, kink soliton solution is also will obtained. We depicted the established solutions, in 2 and 3-dimensions, to understand their characteristics of naturality.

AB - The paper deals with the fractional spatio-temporal Lakshmanan-Porsezian-Daniel equation, where the nonlinearity terms consider in parabolic law. The governing model is reduced to an integer-order ordinary differential equation via a complex traveling wave transformation. We analyze the dynamic behavior and the gained phase portrait to ensure the existence of traveling wave solutions for the proposed model. A bright soliton solution for the fractional spatiotemporal Lakshmanan-Porsezian-Daniel equation will be constructed. In addition, kink soliton solution is also will obtained. We depicted the established solutions, in 2 and 3-dimensions, to understand their characteristics of naturality.

KW - Fractional Lakshmanan-Porsezian Daniel model

KW - Parabolic law

KW - Solitons

KW - The truncated M-fractional derivative

UR - https://www.scopus.com/pages/publications/85164540061

U2 - 10.1109/ICFDA58234.2023.10153318

DO - 10.1109/ICFDA58234.2023.10153318

M3 - Conference contribution

AN - SCOPUS:85164540061

T3 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

BT - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023

Y2 - 14 March 2023 through 16 March 2023

ER -

Alshammari S, Alabedalhadi M, Al-Smadi M, Momani S, Hadid S. New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity. In 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023. Institute of Electrical and Electronics Engineers Inc. 2023. (2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023). doi: 10.1109/ICFDA58234.2023.10153318

New Soliton Solutions for Fractional Spatio-Temporal Lakshmanan-Porsezian-Daniel Equation with Parabolic Law of Nonlinearity

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this