Optical solitons with Lakshmanan–Porsezian–Daniel model using a couple of integration schemes

Anjan Biswas; Mehmet Ekici; Abdullah Sonmezoglu; Houria Triki; Fayequa B. Majid; Qin Zhou; Seithuti P. Moshokoa; Mohammad Mirzazadeh; Milivoj Belic

doi:10.1016/j.ijleo.2017.12.190

Optical solitons with Lakshmanan–Porsezian–Daniel model using a couple of integration schemes

Anjan Biswas
, Mehmet Ekici
, Abdullah Sonmezoglu
, Houria Triki
, Fayequa B. Majid
, Qin Zhou^*
, Seithuti P. Moshokoa
, Mohammad Mirzazadeh
, Milivoj Belic

^*Corresponding author for this work

Alabama A and M University
King Abdulaziz University
Tshwane University of Technology
Yozgat Bozok University
Badji Mokhtar University
Wuhan Donghu University
Guilan University
Texas A&M University at Qatar

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

75 Citations (Scopus)

Abstract

This paper retrieves dark and singular optical soliton solutions to the Lakshmanan–Porsezian–Daniel equation for Kerr law nonlinearity by using two integration schemes. These are extended Jacobi's elliptic function approach and exp(−Φ(η))–expansion method. The existence criteria for these solitons are also obtained that are presented as constraint conditions. As a byproduct, periodic singular solutions are recovered and these too are listed in the paper.

Original language	English
Pages (from-to)	705-711
Number of pages	7
Journal	Optik
Volume	158
DOIs	https://doi.org/10.1016/j.ijleo.2017.12.190
Publication status	Published - Apr 2018
Externally published	Yes

Keywords

Jacobi's elliptic function
Lakshmanan–Porsezian–Daniel model
Solitons

Access to Document

10.1016/j.ijleo.2017.12.190

Cite this

@article{d6e34a58076847e58a84ffcbd72f8dfa,

title = "Optical solitons with Lakshmanan–Porsezian–Daniel model using a couple of integration schemes",

abstract = "This paper retrieves dark and singular optical soliton solutions to the Lakshmanan–Porsezian–Daniel equation for Kerr law nonlinearity by using two integration schemes. These are extended Jacobi's elliptic function approach and exp(−Φ(η))–expansion method. The existence criteria for these solitons are also obtained that are presented as constraint conditions. As a byproduct, periodic singular solutions are recovered and these too are listed in the paper.",

keywords = "Jacobi's elliptic function, Lakshmanan–Porsezian–Daniel model, Solitons",

author = "Anjan Biswas and Mehmet Ekici and Abdullah Sonmezoglu and Houria Triki and Majid, \{Fayequa B.\} and Qin Zhou and Moshokoa, \{Seithuti P.\} and Mohammad Mirzazadeh and Milivoj Belic",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier GmbH",

year = "2018",

month = apr,

doi = "10.1016/j.ijleo.2017.12.190",

language = "English",

volume = "158",

pages = "705--711",

journal = "Optik",

issn = "0030-4026",

publisher = "Elsevier GmbH",

}

TY - JOUR

T1 - Optical solitons with Lakshmanan–Porsezian–Daniel model using a couple of integration schemes

AU - Biswas, Anjan

AU - Ekici, Mehmet

AU - Sonmezoglu, Abdullah

AU - Triki, Houria

AU - Majid, Fayequa B.

AU - Zhou, Qin

AU - Moshokoa, Seithuti P.

AU - Mirzazadeh, Mohammad

AU - Belic, Milivoj

PY - 2018/4

Y1 - 2018/4

N2 - This paper retrieves dark and singular optical soliton solutions to the Lakshmanan–Porsezian–Daniel equation for Kerr law nonlinearity by using two integration schemes. These are extended Jacobi's elliptic function approach and exp(−Φ(η))–expansion method. The existence criteria for these solitons are also obtained that are presented as constraint conditions. As a byproduct, periodic singular solutions are recovered and these too are listed in the paper.

AB - This paper retrieves dark and singular optical soliton solutions to the Lakshmanan–Porsezian–Daniel equation for Kerr law nonlinearity by using two integration schemes. These are extended Jacobi's elliptic function approach and exp(−Φ(η))–expansion method. The existence criteria for these solitons are also obtained that are presented as constraint conditions. As a byproduct, periodic singular solutions are recovered and these too are listed in the paper.

KW - Jacobi's elliptic function

KW - Lakshmanan–Porsezian–Daniel model

KW - Solitons

UR - https://www.scopus.com/pages/publications/85040007286

U2 - 10.1016/j.ijleo.2017.12.190

DO - 10.1016/j.ijleo.2017.12.190

M3 - Article

AN - SCOPUS:85040007286

SN - 0030-4026

VL - 158

SP - 705

EP - 711

JO - Optik

JF - Optik

ER -

Optical solitons with Lakshmanan–Porsezian–Daniel model using a couple of integration schemes

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this