Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives

Mehmet Ekici; Mohammad Mirzazadeh; Mostafa Eslami; Qin Zhou; Seithuti P. Moshokoa; Anjan Biswas; Milivoj Belic

doi:10.1016/j.ijleo.2016.08.076

Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives

Mehmet Ekici, Mohammad Mirzazadeh, Mostafa Eslami, Qin Zhou^*, Seithuti P. Moshokoa, Anjan Biswas, Milivoj Belic

^*Corresponding author for this work

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

160 Citations (Scopus)

Abstract

This paper studies optical solitons with fractional temporal evolution in presence of Hamiltonian perturbation terms. The three types of nonlinearity are Kerr law, parabolic law and dual-power law. The first integral method with conformable fractional derivative is applied to retrieve soliton solutions to the model. Several constraint conditions guarantee the existence of such solitons.

Original language	English
Pages (from-to)	10659-10669
Number of pages	11
Journal	Optik
Volume	127
Issue number	22
DOIs	https://doi.org/10.1016/j.ijleo.2016.08.076
Publication status	Published - 1 Nov 2016
Externally published	Yes

Keywords

Exact solutions
Hamiltonian perturbations
Nano fibers
Solitons
Traveling waves

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10.1016/j.ijleo.2016.08.076

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title = "Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives",

abstract = "This paper studies optical solitons with fractional temporal evolution in presence of Hamiltonian perturbation terms. The three types of nonlinearity are Kerr law, parabolic law and dual-power law. The first integral method with conformable fractional derivative is applied to retrieve soliton solutions to the model. Several constraint conditions guarantee the existence of such solitons.",

keywords = "Exact solutions, Hamiltonian perturbations, Nano fibers, Solitons, Traveling waves",

author = "Mehmet Ekici and Mohammad Mirzazadeh and Mostafa Eslami and Qin Zhou and Moshokoa, \{Seithuti P.\} and Anjan Biswas and Milivoj Belic",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier GmbH",

year = "2016",

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doi = "10.1016/j.ijleo.2016.08.076",

language = "English",

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T1 - Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives

AU - Ekici, Mehmet

AU - Mirzazadeh, Mohammad

AU - Eslami, Mostafa

AU - Zhou, Qin

AU - Moshokoa, Seithuti P.

AU - Biswas, Anjan

AU - Belic, Milivoj

PY - 2016/11/1

Y1 - 2016/11/1

N2 - This paper studies optical solitons with fractional temporal evolution in presence of Hamiltonian perturbation terms. The three types of nonlinearity are Kerr law, parabolic law and dual-power law. The first integral method with conformable fractional derivative is applied to retrieve soliton solutions to the model. Several constraint conditions guarantee the existence of such solitons.

AB - This paper studies optical solitons with fractional temporal evolution in presence of Hamiltonian perturbation terms. The three types of nonlinearity are Kerr law, parabolic law and dual-power law. The first integral method with conformable fractional derivative is applied to retrieve soliton solutions to the model. Several constraint conditions guarantee the existence of such solitons.

KW - Exact solutions

KW - Hamiltonian perturbations

KW - Nano fibers

KW - Solitons

KW - Traveling waves

UR - https://www.scopus.com/pages/publications/84985004018

U2 - 10.1016/j.ijleo.2016.08.076

DO - 10.1016/j.ijleo.2016.08.076

M3 - Article

AN - SCOPUS:84985004018

SN - 0030-4026

VL - 127

SP - 10659

EP - 10669

JO - Optik

JF - Optik

IS - 22

ER -

Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives

Abstract

Keywords

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