Solitons for perturbed Gerdjikov–Ivanov equation in optical fibers and PCF by extended Kudryashov’s method

Anjan Biswas; Yakup Yıldırım; Emrullah Yaşar; Qin Zhou; Ali Saleh Alshomrani; Seithuti P. Moshokoa; Milivoj Belic

doi:10.1007/s11082-018-1417-0

Solitons for perturbed Gerdjikov–Ivanov equation in optical fibers and PCF by extended Kudryashov’s method

Anjan Biswas
, Yakup Yıldırım
, Emrullah Yaşar^*
, Qin Zhou
, Ali Saleh Alshomrani
, Seithuti P. Moshokoa
, Milivoj Belic

^*Corresponding author for this work

Alabama A and M University
King Abdulaziz University
Tshwane University of Technology
Uludag University
Wuhan Donghu University
Texas A&M University at Qatar

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

60 Citations (Scopus)

Abstract

This paper reveals bright, dark and singular soliton solutions to the perturbed Gerdjikov–Ivanov equation by the aid of extended Kudryashov’s method. The nonlinear terms appear with full nonlinearity in order to give a generalized flavor to the model. As a byproduct of this scheme, plane waves and singular periodic solutions fall out and these solutions are listed as well.

Original language	English
Article number	149
Journal	Optical and Quantum Electronics
Volume	50
Issue number	3
DOIs	https://doi.org/10.1007/s11082-018-1417-0
Publication status	Published - 1 Mar 2018
Externally published	Yes

Keywords

Extended Kudryashov’s method
Gerdjikov–Ivanov equation
Solitons

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10.1007/s11082-018-1417-0

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title = "Solitons for perturbed Gerdjikov–Ivanov equation in optical fibers and PCF by extended Kudryashov{\textquoteright}s method",

abstract = "This paper reveals bright, dark and singular soliton solutions to the perturbed Gerdjikov–Ivanov equation by the aid of extended Kudryashov{\textquoteright}s method. The nonlinear terms appear with full nonlinearity in order to give a generalized flavor to the model. As a byproduct of this scheme, plane waves and singular periodic solutions fall out and these solutions are listed as well.",

keywords = "Extended Kudryashov{\textquoteright}s method, Gerdjikov–Ivanov equation, Solitons",

author = "Anjan Biswas and Yakup Yıldırım and Emrullah Ya{\c s}ar and Qin Zhou and Alshomrani, \{Ali Saleh\} and Moshokoa, \{Seithuti P.\} and Milivoj Belic",

note = "Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature.",

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doi = "10.1007/s11082-018-1417-0",

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T1 - Solitons for perturbed Gerdjikov–Ivanov equation in optical fibers and PCF by extended Kudryashov’s method

AU - Biswas, Anjan

AU - Yıldırım, Yakup

AU - Yaşar, Emrullah

AU - Zhou, Qin

AU - Alshomrani, Ali Saleh

AU - Moshokoa, Seithuti P.

AU - Belic, Milivoj

PY - 2018/3/1

Y1 - 2018/3/1

N2 - This paper reveals bright, dark and singular soliton solutions to the perturbed Gerdjikov–Ivanov equation by the aid of extended Kudryashov’s method. The nonlinear terms appear with full nonlinearity in order to give a generalized flavor to the model. As a byproduct of this scheme, plane waves and singular periodic solutions fall out and these solutions are listed as well.

AB - This paper reveals bright, dark and singular soliton solutions to the perturbed Gerdjikov–Ivanov equation by the aid of extended Kudryashov’s method. The nonlinear terms appear with full nonlinearity in order to give a generalized flavor to the model. As a byproduct of this scheme, plane waves and singular periodic solutions fall out and these solutions are listed as well.

KW - Extended Kudryashov’s method

KW - Gerdjikov–Ivanov equation

KW - Solitons

UR - https://www.scopus.com/pages/publications/85042798208

U2 - 10.1007/s11082-018-1417-0

DO - 10.1007/s11082-018-1417-0

M3 - Article

AN - SCOPUS:85042798208

SN - 0306-8919

VL - 50

JO - Optical and Quantum Electronics

JF - Optical and Quantum Electronics

IS - 3

M1 - 149

ER -

Solitons for perturbed Gerdjikov–Ivanov equation in optical fibers and PCF by extended Kudryashov’s method

Abstract

Keywords

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