Optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation by Lie group analysis

Anupma Bansal; Anjan Biswas; Mohammad F. Mahmood; Qin Zhou; Mohammad Mirzazadeh; Ali Saleh Alshomrani; Seithuti P. Moshokoa; Milivoj Belic

doi:10.1016/j.ijleo.2018.02.104

Optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation by Lie group analysis

Anupma Bansal
, Anjan Biswas
, Mohammad F. Mahmood
, Qin Zhou^*
, Mohammad Mirzazadeh
, Ali Saleh Alshomrani
, Seithuti P. Moshokoa
, Milivoj Belic

^*Corresponding author for this work

Department of Mathematics D. A. V. College for Women
Alabama A and M University
King Abdulaziz University
Tshwane University of Technology
Howard University
Wuhan Donghu University
Guilan University
Texas A&M University at Qatar

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

57 Citations (Scopus)

Abstract

This paper conducts Lie group analysis of the perturbed Radhakrishnan–Kundu–Lakshmanan equation to retrieve optical soliton solutions. This powerful integration scheme retrieves bright and dark optical soliton solutions to the model that is studied with power law nonlinearity. The existence criteria of such solitons are also presented.

Original language	English
Pages (from-to)	137-141
Number of pages	5
Journal	Optik
Volume	163
DOIs	https://doi.org/10.1016/j.ijleo.2018.02.104
Publication status	Published - Jun 2018
Externally published	Yes

Keywords

Parabolic law nonlinearity
Solitons
Weak nonlocal nonlinearity

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10.1016/j.ijleo.2018.02.104

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title = "Optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation by Lie group analysis",

abstract = "This paper conducts Lie group analysis of the perturbed Radhakrishnan–Kundu–Lakshmanan equation to retrieve optical soliton solutions. This powerful integration scheme retrieves bright and dark optical soliton solutions to the model that is studied with power law nonlinearity. The existence criteria of such solitons are also presented.",

keywords = "Parabolic law nonlinearity, Solitons, Weak nonlocal nonlinearity",

author = "Anupma Bansal and Anjan Biswas and Mahmood, \{Mohammad F.\} and Qin Zhou and Mohammad Mirzazadeh and Alshomrani, \{Ali Saleh\} and Moshokoa, \{Seithuti P.\} and Milivoj Belic",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier GmbH",

year = "2018",

month = jun,

doi = "10.1016/j.ijleo.2018.02.104",

language = "English",

volume = "163",

pages = "137--141",

journal = "Optik",

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publisher = "Elsevier GmbH",

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TY - JOUR

T1 - Optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation by Lie group analysis

AU - Bansal, Anupma

AU - Biswas, Anjan

AU - Mahmood, Mohammad F.

AU - Zhou, Qin

AU - Mirzazadeh, Mohammad

AU - Alshomrani, Ali Saleh

AU - Moshokoa, Seithuti P.

AU - Belic, Milivoj

PY - 2018/6

Y1 - 2018/6

N2 - This paper conducts Lie group analysis of the perturbed Radhakrishnan–Kundu–Lakshmanan equation to retrieve optical soliton solutions. This powerful integration scheme retrieves bright and dark optical soliton solutions to the model that is studied with power law nonlinearity. The existence criteria of such solitons are also presented.

AB - This paper conducts Lie group analysis of the perturbed Radhakrishnan–Kundu–Lakshmanan equation to retrieve optical soliton solutions. This powerful integration scheme retrieves bright and dark optical soliton solutions to the model that is studied with power law nonlinearity. The existence criteria of such solitons are also presented.

KW - Parabolic law nonlinearity

KW - Solitons

KW - Weak nonlocal nonlinearity

UR - https://www.scopus.com/pages/publications/85043377959

U2 - 10.1016/j.ijleo.2018.02.104

DO - 10.1016/j.ijleo.2018.02.104

M3 - Article

AN - SCOPUS:85043377959

SN - 0030-4026

VL - 163

SP - 137

EP - 141

JO - Optik

JF - Optik

ER -

Optical soliton perturbation with Radhakrishnan–Kundu–Lakshmanan equation by Lie group analysis

Abstract

Keywords

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