First integrals and general solution of the complex Ginzburg-Landau equation

“…The current paper is addressing, for the first time, HD solitons on a different platform, namely the complex Ginzburg-Landau equation (CGLE) [18][19][20][21][22][23][24][25][26]. There are six forms of nonlinear refractive index structures that are considered.…”

Section: Introductionmentioning

confidence: 99%

Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

et al. 2021

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“…Liu and Yu [35] used the modified Hirota bilinear method and obtained Kink waves and period waves. In [36,37], first integral method and G G -expansion method is used to secure the hyperbolic, trigonometric as well as rational function solution. Several integration techniques are used to obtain multiple soliton solutions such as bright, dark and singular soliton by Mirzazadeh and Ekici [38].…”

Section: Introductionmentioning

confidence: 99%

The investigation of several soliton solutions to the complex Ginzburg-Landau model with Kerr law nonlinearity

Isah

Yokuş

2022

mmnsa

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This work investigates the complex Ginzburg-Landau equation (CGLE) with Kerr law in nonlinear optics, which represents soliton propagation in the presence of a detuning factor. The ϕ 6 -model expansion approach is used to find optical solitons such as dark, bright, singular, and periodic as well as the combined soliton solutions to the model. The results presented in this study are intended to improve the CGLE's nonlinear dynamical characteristics, it might also assist in comprehending some of the physical implications of various nonlinear physics models. The hyperbolic sine, for example, appears in the calculation of the Roche limit and gravitational potential of a cylinder, while the hyperbolic cotangent appears in the Langevin function for magnetic polarization. The current research is frequently used to report a variety of fascinating physical phenomena, such as the Kerr law of non-linearity, which results from the fact that an external electric field causes non-harmonic motion of electrons bound in molecules, which causes nonlinear responses in a light wave in an optical fiber. The obtained solutions' 2-dimensional, 3-dimensional, and contour plots are shown.

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“…One such model from the visible abundance is the complex Ginzburg–Landau equation (CGLE). There are several results from CGLE that have been reported in a wide variety of contexts [1–28]. These results are all with the combination of self‐phase modulation (SPM) and chromatic dispersion (CD).…”

Section: Introductionmentioning

confidence: 99%

Sequel to “cubic‐quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov's method”

Arnous

Biswas

Kara

et al. 2022

IET Optoelectronics

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First integrals and general solution of the complex Ginzburg-Landau equation

Cited by 45 publications

References 24 publications

Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

The investigation of several soliton solutions to the complex Ginzburg-Landau model with Kerr law nonlinearity

Sequel to “cubic‐quartic optical soliton perturbation with complex Ginzburg–Landau equation by the enhanced Kudryashov's method”

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