Optical solitons in nano-fibers with fractional temporal evolution

Mohammad Mirzazadeh; Mehmet Ekici; Abdullah Sonmezoglu; Mostafa Eslami; Qin Zhou; Essaid Zerrad; Anjan Biswas; Milivoj Belic

doi:10.1166/jctn.2016.5425

Optical solitons in nano-fibers with fractional temporal evolution

Mohammad Mirzazadeh^*
, Mehmet Ekici
, Abdullah Sonmezoglu
, Mostafa Eslami
, Qin Zhou
, Essaid Zerrad
, Anjan Biswas
, Milivoj Belic

^*Corresponding author for this work

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

26 Citations (Scopus)

Abstract

In this paper, fractional derivative and the Liu's method are employed to obtain optical solitons, in nano-fibers, for perturbed nonlinear Schrödinger's equation with conformable fractional temporal evolution. These perturbation terms are all of Hamiltonian type and come with full nonlinearity. Several constraint conditions naturally fall out from the results obtained.

Original language	English
Pages (from-to)	5361-5374
Number of pages	14
Journal	Journal of Computational and Theoretical Nanoscience
Volume	13
Issue number	8
DOIs	https://doi.org/10.1166/jctn.2016.5425
Publication status	Published - Aug 2016
Externally published	Yes

Keywords

Conformable fractional derivative
Fractional temporal evolution
Liu's method

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10.1166/jctn.2016.5425

Cite this

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title = "Optical solitons in nano-fibers with fractional temporal evolution",

abstract = "In this paper, fractional derivative and the Liu's method are employed to obtain optical solitons, in nano-fibers, for perturbed nonlinear Schr{\"o}dinger's equation with conformable fractional temporal evolution. These perturbation terms are all of Hamiltonian type and come with full nonlinearity. Several constraint conditions naturally fall out from the results obtained.",

keywords = "Conformable fractional derivative, Fractional temporal evolution, Liu's method",

author = "Mohammad Mirzazadeh and Mehmet Ekici and Abdullah Sonmezoglu and Mostafa Eslami and Qin Zhou and Essaid Zerrad and Anjan Biswas and Milivoj Belic",

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AU - Mirzazadeh, Mohammad

AU - Ekici, Mehmet

AU - Sonmezoglu, Abdullah

AU - Eslami, Mostafa

AU - Zhou, Qin

AU - Zerrad, Essaid

AU - Biswas, Anjan

AU - Belic, Milivoj

PY - 2016/8

Y1 - 2016/8

N2 - In this paper, fractional derivative and the Liu's method are employed to obtain optical solitons, in nano-fibers, for perturbed nonlinear Schrödinger's equation with conformable fractional temporal evolution. These perturbation terms are all of Hamiltonian type and come with full nonlinearity. Several constraint conditions naturally fall out from the results obtained.

AB - In this paper, fractional derivative and the Liu's method are employed to obtain optical solitons, in nano-fibers, for perturbed nonlinear Schrödinger's equation with conformable fractional temporal evolution. These perturbation terms are all of Hamiltonian type and come with full nonlinearity. Several constraint conditions naturally fall out from the results obtained.

KW - Conformable fractional derivative

KW - Fractional temporal evolution

KW - Liu's method

UR - https://www.scopus.com/pages/publications/84995486246

U2 - 10.1166/jctn.2016.5425

DO - 10.1166/jctn.2016.5425

M3 - Article

AN - SCOPUS:84995486246

SN - 1546-1955

VL - 13

SP - 5361

EP - 5374

JO - Journal of Computational and Theoretical Nanoscience

JF - Journal of Computational and Theoretical Nanoscience

IS - 8

ER -

Optical solitons in nano-fibers with fractional temporal evolution

Abstract

Keywords

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