Optical solitons having anti-cubic nonlinearity with a couple of exotic integration schemes

K. S. Al-Ghafri; E. V. Krishnan; Anjan Biswas; Mehmet Ekici

doi:10.1016/j.ijleo.2018.07.101

Optical solitons having anti-cubic nonlinearity with a couple of exotic integration schemes

K. S. Al-Ghafri, E. V. Krishnan, Anjan Biswas, Mehmet Ekici^*

^*Corresponding author for this work

Mathematics

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

29 Citations (Scopus)

Abstract

This paper investigates the soliton solutions to nonlinear Schrödinger's equation (NLSE) with anti-cubic nonlinearity in optical fibers. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using wave transformation. Then, two techniques, namely, improved projective Riccati equations method and extended Fan's sub-equation method have been implemented to solve the ODE. As a result, various types of solitons such as bright, dark, singular, dark-singular combo optical soliton solutions are obtained along with other solutions.

Original language	English
Pages (from-to)	794-800
Number of pages	7
Journal	Optik
Volume	172
DOIs	https://doi.org/10.1016/j.ijleo.2018.07.101
Publication status	Published - Nov 2018

Keywords

060.2310
060.4510
060.5530
190.3270
190.4370
Anti-cubic nonlinearity
Nonlinear Schrödinger's equation
Solitons

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Electrical and Electronic Engineering

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10.1016/j.ijleo.2018.07.101

Cite this

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title = "Optical solitons having anti-cubic nonlinearity with a couple of exotic integration schemes",

abstract = "This paper investigates the soliton solutions to nonlinear Schr{\"o}dinger's equation (NLSE) with anti-cubic nonlinearity in optical fibers. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using wave transformation. Then, two techniques, namely, improved projective Riccati equations method and extended Fan's sub-equation method have been implemented to solve the ODE. As a result, various types of solitons such as bright, dark, singular, dark-singular combo optical soliton solutions are obtained along with other solutions.",

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author = "Al-Ghafri, {K. S.} and Krishnan, {E. V.} and Anjan Biswas and Mehmet Ekici",

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

year = "2018",

month = nov,

doi = "10.1016/j.ijleo.2018.07.101",

language = "English",

volume = "172",

pages = "794--800",

journal = "Optik",

issn = "0030-4026",

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T1 - Optical solitons having anti-cubic nonlinearity with a couple of exotic integration schemes

AU - Al-Ghafri, K. S.

AU - Krishnan, E. V.

AU - Biswas, Anjan

AU - Ekici, Mehmet

PY - 2018/11

Y1 - 2018/11

N2 - This paper investigates the soliton solutions to nonlinear Schrödinger's equation (NLSE) with anti-cubic nonlinearity in optical fibers. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using wave transformation. Then, two techniques, namely, improved projective Riccati equations method and extended Fan's sub-equation method have been implemented to solve the ODE. As a result, various types of solitons such as bright, dark, singular, dark-singular combo optical soliton solutions are obtained along with other solutions.

AB - This paper investigates the soliton solutions to nonlinear Schrödinger's equation (NLSE) with anti-cubic nonlinearity in optical fibers. The complex form of the NLSE has been reduced to nonlinear ordinary differential equation (ODE) using wave transformation. Then, two techniques, namely, improved projective Riccati equations method and extended Fan's sub-equation method have been implemented to solve the ODE. As a result, various types of solitons such as bright, dark, singular, dark-singular combo optical soliton solutions are obtained along with other solutions.

KW - 060.2310

KW - 060.4510

KW - 060.5530

KW - 190.3270

KW - 190.4370

KW - Anti-cubic nonlinearity

KW - Nonlinear Schrödinger's equation

KW - Solitons

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DO - 10.1016/j.ijleo.2018.07.101

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VL - 172

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EP - 800

JO - Optik

JF - Optik

ER -

Optical solitons having anti-cubic nonlinearity with a couple of exotic integration schemes

Abstract

Keywords

ASJC Scopus subject areas

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