Optical solitons and other solutions to Kudryashov's equation with three innovative integration norms

Elsayed M.E. Zayed; Reham M.A. Shohib; Anjan Biswas; Mehmet Ekici; Houria Triki; Abdullah Kamis Alzahrani; Milivoj R. Belic

doi:10.1016/j.ijleo.2020.164431

Optical solitons and other solutions to Kudryashov's equation with three innovative integration norms

Elsayed M.E. Zayed
, Reham M.A. Shohib
, Anjan Biswas
, Mehmet Ekici^*
, Houria Triki
, Abdullah Kamis Alzahrani
, Milivoj R. Belic

^*Corresponding author for this work

Zagazig University
Alabama A and M University
King Abdulaziz University
Tshwane University of Technology
Moscow Engineering Physics Institute
Yozgat Bozok University
Badji Mokhtar University
Texas A&M University at Qatar

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

28 Citations (Scopus)

Abstract

This paper applies three different integration algorithms, namely, unified auxiliary equation scheme, new mapping method and extended auxiliary equation criteria to Kudryashov's equation that studies optical solitons with four nonlinear terms. These schemes reveal Jacobi's elliptic functions, solitons and other solutions to the model. These are classified as bright, dark, singular and combo optical solitons.

Original language	English
Article number	164431
Journal	Optik
Volume	211
DOIs	https://doi.org/10.1016/j.ijleo.2020.164431
Publication status	Published - Jun 2020
Externally published	Yes

Keywords

060.2310
060.4510
060.5530
190.3270.190.4370
Integrability
Jacobi's elliptic functions
Solitons

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10.1016/j.ijleo.2020.164431

Cite this

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title = "Optical solitons and other solutions to Kudryashov's equation with three innovative integration norms",

abstract = "This paper applies three different integration algorithms, namely, unified auxiliary equation scheme, new mapping method and extended auxiliary equation criteria to Kudryashov's equation that studies optical solitons with four nonlinear terms. These schemes reveal Jacobi's elliptic functions, solitons and other solutions to the model. These are classified as bright, dark, singular and combo optical solitons.",

keywords = "060.2310, 060.4510, 060.5530, 190.3270.190.4370, Integrability, Jacobi's elliptic functions, Solitons",

author = "Zayed, \{Elsayed M.E.\} and Shohib, \{Reham M.A.\} and Anjan Biswas and Mehmet Ekici and Houria Triki and Alzahrani, \{Abdullah Kamis\} and Belic, \{Milivoj R.\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier GmbH",

year = "2020",

month = jun,

doi = "10.1016/j.ijleo.2020.164431",

language = "English",

volume = "211",

journal = "Optik",

issn = "0030-4026",

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TY - JOUR

T1 - Optical solitons and other solutions to Kudryashov's equation with three innovative integration norms

AU - Zayed, Elsayed M.E.

AU - Shohib, Reham M.A.

AU - Biswas, Anjan

AU - Ekici, Mehmet

AU - Triki, Houria

AU - Alzahrani, Abdullah Kamis

AU - Belic, Milivoj R.

PY - 2020/6

Y1 - 2020/6

N2 - This paper applies three different integration algorithms, namely, unified auxiliary equation scheme, new mapping method and extended auxiliary equation criteria to Kudryashov's equation that studies optical solitons with four nonlinear terms. These schemes reveal Jacobi's elliptic functions, solitons and other solutions to the model. These are classified as bright, dark, singular and combo optical solitons.

AB - This paper applies three different integration algorithms, namely, unified auxiliary equation scheme, new mapping method and extended auxiliary equation criteria to Kudryashov's equation that studies optical solitons with four nonlinear terms. These schemes reveal Jacobi's elliptic functions, solitons and other solutions to the model. These are classified as bright, dark, singular and combo optical solitons.

KW - 060.2310

KW - 060.4510

KW - 060.5530

KW - 190.3270.190.4370

KW - Integrability

KW - Jacobi's elliptic functions

KW - Solitons

UR - https://www.scopus.com/pages/publications/85082849095

U2 - 10.1016/j.ijleo.2020.164431

DO - 10.1016/j.ijleo.2020.164431

M3 - Article

AN - SCOPUS:85082849095

SN - 0030-4026

VL - 211

JO - Optik

JF - Optik

M1 - 164431

ER -

Optical solitons and other solutions to Kudryashov's equation with three innovative integration norms

Abstract

Keywords

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