COMPARISON OF SOLITON BEHAVIOR OF LAKSHMANAN-PORSEZIAN-DANIEL MODEL FOR TWO KINDS OF FRACTIONAL DERIVATIVES

Miguel Vivas-Cortez; M. Atta Ullah Khan; Ghazala Akram; Maasoomah Sadaf; Muhammad Abbas; Hijaz Ahmad; M. R. Alharthi

doi:10.1142/S0218348X25402777

COMPARISON OF SOLITON BEHAVIOR OF LAKSHMANAN-PORSEZIAN-DANIEL MODEL FOR TWO KINDS OF FRACTIONAL DERIVATIVES

Miguel Vivas-Cortez, M. Atta Ullah Khan, Ghazala Akram, Maasoomah Sadaf, Muhammad Abbas, Hijaz Ahmad, M. R. Alharthi

Research output: Contribution to journal › Article › peer-review

Abstract

The analytical soliton solutions of the time-space fractional Lakshmanan-Porsezian-Daniel (TSFLPD) model are obtained in this research paper. The proposed model is investigated using two new definitions of fractional derivatives including β-derivative and M-truncated derivative (MTD). The modified auxiliary equation method is used to obtain the analytical solutions of the proposed model. There are distinct patterns of soliton solutions observed among acquired solutions. The constructed solutions include kink solitons, dark solitons and some other singular soliton solutions. The constructed analytical solutions are graphically shown using analytical software. Two and three-dimensional graphs of obtained solutions are plotted. The effects of fractional derivatives 2D-line graphs are utilized for the comparison of results of proposed derivatives.

Original language	English
Article number	2540277
Journal	Fractals
DOIs	https://doi.org/10.1142/S0218348X25402777
State	Accepted/In press - 2025

Keywords

Exact Technique
Modified Auxiliary Equation Method
Time-space Fractional Derivatives

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10.1142/S0218348X25402777

Cite this

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title = "COMPARISON OF SOLITON BEHAVIOR OF LAKSHMANAN-PORSEZIAN-DANIEL MODEL FOR TWO KINDS OF FRACTIONAL DERIVATIVES",

abstract = "The analytical soliton solutions of the time-space fractional Lakshmanan-Porsezian-Daniel (TSFLPD) model are obtained in this research paper. The proposed model is investigated using two new definitions of fractional derivatives including β-derivative and M-truncated derivative (MTD). The modified auxiliary equation method is used to obtain the analytical solutions of the proposed model. There are distinct patterns of soliton solutions observed among acquired solutions. The constructed solutions include kink solitons, dark solitons and some other singular soliton solutions. The constructed analytical solutions are graphically shown using analytical software. Two and three-dimensional graphs of obtained solutions are plotted. The effects of fractional derivatives 2D-line graphs are utilized for the comparison of results of proposed derivatives.",

keywords = "Exact Technique, Modified Auxiliary Equation Method, Time-space Fractional Derivatives",

author = "Miguel Vivas-Cortez and \{Atta Ullah Khan\}, M. and Ghazala Akram and Maasoomah Sadaf and Muhammad Abbas and Hijaz Ahmad and Alharthi, \{M. R.\}",

note = "Publisher Copyright: {\textcopyright} 2025 The Author(s).",

year = "2025",

doi = "10.1142/S0218348X25402777",

language = "Ingl{\'e}s",

journal = "Fractals",

issn = "0218-348X",

publisher = "World Scientific Publishing Co. Pte Ltd",

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T1 - COMPARISON OF SOLITON BEHAVIOR OF LAKSHMANAN-PORSEZIAN-DANIEL MODEL FOR TWO KINDS OF FRACTIONAL DERIVATIVES

AU - Vivas-Cortez, Miguel

AU - Atta Ullah Khan, M.

AU - Akram, Ghazala

AU - Sadaf, Maasoomah

AU - Abbas, Muhammad

AU - Ahmad, Hijaz

AU - Alharthi, M. R.

PY - 2025

Y1 - 2025

N2 - The analytical soliton solutions of the time-space fractional Lakshmanan-Porsezian-Daniel (TSFLPD) model are obtained in this research paper. The proposed model is investigated using two new definitions of fractional derivatives including β-derivative and M-truncated derivative (MTD). The modified auxiliary equation method is used to obtain the analytical solutions of the proposed model. There are distinct patterns of soliton solutions observed among acquired solutions. The constructed solutions include kink solitons, dark solitons and some other singular soliton solutions. The constructed analytical solutions are graphically shown using analytical software. Two and three-dimensional graphs of obtained solutions are plotted. The effects of fractional derivatives 2D-line graphs are utilized for the comparison of results of proposed derivatives.

AB - The analytical soliton solutions of the time-space fractional Lakshmanan-Porsezian-Daniel (TSFLPD) model are obtained in this research paper. The proposed model is investigated using two new definitions of fractional derivatives including β-derivative and M-truncated derivative (MTD). The modified auxiliary equation method is used to obtain the analytical solutions of the proposed model. There are distinct patterns of soliton solutions observed among acquired solutions. The constructed solutions include kink solitons, dark solitons and some other singular soliton solutions. The constructed analytical solutions are graphically shown using analytical software. Two and three-dimensional graphs of obtained solutions are plotted. The effects of fractional derivatives 2D-line graphs are utilized for the comparison of results of proposed derivatives.

KW - Exact Technique

KW - Modified Auxiliary Equation Method

KW - Time-space Fractional Derivatives

UR - https://www.scopus.com/pages/publications/105014773550

U2 - 10.1142/S0218348X25402777

DO - 10.1142/S0218348X25402777

M3 - Artículo

AN - SCOPUS:105014773550

SN - 0218-348X

JO - Fractals

JF - Fractals

M1 - 2540277

ER -

COMPARISON OF SOLITON BEHAVIOR OF LAKSHMANAN-PORSEZIAN-DANIEL MODEL FOR TWO KINDS OF FRACTIONAL DERIVATIVES

Abstract

Keywords

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