Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity: Symmetry analysis and new Kudryashov's method

Ravindra Yadav; Sandeep Malik; Sachin Kumar; Rajesh Sharma; Anjan Biswas; Yakup Yıldırım; O. González-Gaxiola; Luminita Moraru; Abdulah A. Alghamdi

doi:10.1016/j.chaos.2023.113675

Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity: Symmetry analysis and new Kudryashov's method

Ravindra Yadav
, Sandeep Malik
, Sachin Kumar^*
, Rajesh Sharma
, Anjan Biswas
, Yakup Yıldırım
, O. González-Gaxiola
, Luminita Moraru
, Abdulah A. Alghamdi

^*Corresponding author for this work

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

36 Citations (Scopus)

Abstract

Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic–cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of the governing partial differential equation to an ordinary differential equation, which is then integrated using an enhanced Kudryashov's approach to obtain solitons with the model. The analysis presented in this paper does not explicitly discuss the formation and dynamics of soliton radiation.

Original language	English
Article number	113675
Journal	Chaos, Solitons and Fractals
Volume	173
DOIs	https://doi.org/10.1016/j.chaos.2023.113675
Publication status	Published - Aug 2023
Externally published	Yes

Keywords

Lie symmetry analysis
New kudryashov's method
Quadratic-cubic law
Solitons

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10.1016/j.chaos.2023.113675

Cite this

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title = "Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity: Symmetry analysis and new Kudryashov's method",

abstract = "Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic–cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of the governing partial differential equation to an ordinary differential equation, which is then integrated using an enhanced Kudryashov's approach to obtain solitons with the model. The analysis presented in this paper does not explicitly discuss the formation and dynamics of soliton radiation.",

keywords = "Lie symmetry analysis, New kudryashov's method, Quadratic-cubic law, Solitons",

author = "Ravindra Yadav and Sandeep Malik and Sachin Kumar and Rajesh Sharma and Anjan Biswas and Yakup Yıldırım and O. Gonz{\'a}lez-Gaxiola and Luminita Moraru and Alghamdi, \{Abdulah A.\}",

note = "Publisher Copyright: {\textcopyright} 2023",

year = "2023",

month = aug,

doi = "10.1016/j.chaos.2023.113675",

language = "English",

volume = "173",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

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TY - JOUR

T1 - Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity

T2 - Symmetry analysis and new Kudryashov's method

AU - Yadav, Ravindra

AU - Malik, Sandeep

AU - Kumar, Sachin

AU - Sharma, Rajesh

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - González-Gaxiola, O.

AU - Moraru, Luminita

AU - Alghamdi, Abdulah A.

PY - 2023/8

Y1 - 2023/8

N2 - Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic–cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of the governing partial differential equation to an ordinary differential equation, which is then integrated using an enhanced Kudryashov's approach to obtain solitons with the model. The analysis presented in this paper does not explicitly discuss the formation and dynamics of soliton radiation.

AB - Lie symmetry analysis is utilized in this paper to explore the properties of highly dispersive optical solitons that exhibit quadratic–cubic self-phase modulation. The use of Lie symmetry analysis enables the reduction of the governing partial differential equation to an ordinary differential equation, which is then integrated using an enhanced Kudryashov's approach to obtain solitons with the model. The analysis presented in this paper does not explicitly discuss the formation and dynamics of soliton radiation.

KW - Lie symmetry analysis

KW - New kudryashov's method

KW - Quadratic-cubic law

KW - Solitons

UR - https://www.scopus.com/pages/publications/85162961025

U2 - 10.1016/j.chaos.2023.113675

DO - 10.1016/j.chaos.2023.113675

M3 - Article

AN - SCOPUS:85162961025

SN - 0960-0779

VL - 173

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 113675

ER -

Highly dispersive W–shaped and other optical solitons with quadratic–cubic nonlinearity: Symmetry analysis and new Kudryashov's method

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Keywords

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