Optical solitons with complex Ginzburg–Landau equation

Mohammad Mirzazadeh; Mehmet Ekici; Abdullah Sonmezoglu; Mostafa Eslami; Qin Zhou; Abdul H. Kara; Daniela Milovic; Fayequa B. Majid; Anjan Biswas; Milivoj Belić

doi:10.1007/s11071-016-2810-5

Optical solitons with complex Ginzburg–Landau equation

Mohammad Mirzazadeh, Mehmet Ekici, Abdullah Sonmezoglu, Mostafa Eslami, Qin Zhou, Abdul H. Kara, Daniela Milovic, Fayequa B. Majid, Anjan Biswas^*, Milivoj Belić

^*Corresponding author for this work

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

150 Citations (Scopus)

Abstract

The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr and power law nonlinearities. Several integration techniques are applied to retrieve various soliton solutions to the model for both forms of nonlinearity. Bright, dark as well as singular soliton solutions are obtained. Several other solutions such as periodic singular solutions and plane waves emerge as a by-product of integration algorithms. Constraint conditions hold all of these solutions in place. The numerical simulations for bright soliton solutions are given for Kerr and power law.

Original language	English
Pages (from-to)	1979-2016
Number of pages	38
Journal	Nonlinear Dynamics
Volume	85
Issue number	3
DOIs	https://doi.org/10.1007/s11071-016-2810-5
Publication status	Published - 1 Aug 2016
Externally published	Yes

Keywords

Constraints
Integrability
Solitons

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10.1007/s11071-016-2810-5

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abstract = "The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr and power law nonlinearities. Several integration techniques are applied to retrieve various soliton solutions to the model for both forms of nonlinearity. Bright, dark as well as singular soliton solutions are obtained. Several other solutions such as periodic singular solutions and plane waves emerge as a by-product of integration algorithms. Constraint conditions hold all of these solutions in place. The numerical simulations for bright soliton solutions are given for Kerr and power law.",

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T1 - Optical solitons with complex Ginzburg–Landau equation

AU - Mirzazadeh, Mohammad

AU - Ekici, Mehmet

AU - Sonmezoglu, Abdullah

AU - Eslami, Mostafa

AU - Zhou, Qin

AU - Kara, Abdul H.

AU - Milovic, Daniela

AU - Majid, Fayequa B.

AU - Biswas, Anjan

AU - Belić, Milivoj

PY - 2016/8/1

Y1 - 2016/8/1

N2 - The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr and power law nonlinearities. Several integration techniques are applied to retrieve various soliton solutions to the model for both forms of nonlinearity. Bright, dark as well as singular soliton solutions are obtained. Several other solutions such as periodic singular solutions and plane waves emerge as a by-product of integration algorithms. Constraint conditions hold all of these solutions in place. The numerical simulations for bright soliton solutions are given for Kerr and power law.

AB - The paper revisits in a systematic way the complex Ginzburg–Landau equation with Kerr and power law nonlinearities. Several integration techniques are applied to retrieve various soliton solutions to the model for both forms of nonlinearity. Bright, dark as well as singular soliton solutions are obtained. Several other solutions such as periodic singular solutions and plane waves emerge as a by-product of integration algorithms. Constraint conditions hold all of these solutions in place. The numerical simulations for bright soliton solutions are given for Kerr and power law.

KW - Constraints

KW - Integrability

KW - Solitons

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DO - 10.1007/s11071-016-2810-5

M3 - Article

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SN - 0924-090X

VL - 85

SP - 1979

EP - 2016

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 3

ER -

Optical solitons with complex Ginzburg–Landau equation

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Keywords

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