Implicit quiescent optical solitons for the concatenation model with nonlinear chromatic dispersion and power–law of self–phase modulation by Lie symmetry

Adem, Abdullahi Rashid; Biswas, Anjan; Yıldırım, Yakup; Asiri, Asim

doi:10.1007/s12596-023-01443-z

Cited by 11 publications

(3 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dimensionless form of the scalar version of the dispersive concatenation model with Kerr law nonlinearity is structured as [12][13][14]:…”

Section: Governing Modelmentioning

confidence: 99%

See 1 more Smart Citation

Optical Solitons for the Dispersive Concatenation Model with Polarization Mode Dispersion by Sardar's Sub-Equation Approach

Jawad,

Yildirim,

Biswas

et al. 2024

Contemp. Math.

View full text Add to dashboard Cite

show abstract

“…The dimensionless form of the scalar version of the dispersive concatenation model with Kerr law nonlinearity is structured as [12][13][14]:…”

Section: Governing Modelmentioning

confidence: 99%

“…This is similarly formed from the three pre-existing models: the Schrödinger-Hirota equation, LPD model, and the fifth-order NLSE [9,10]. Having higher-order dispersion terms, this model is therefore referred to as the dispersive concatenation model [11,12].…”

Section: Introductionmentioning

confidence: 99%

Optical Solitons for the Dispersive Concatenation Model with Polarization Mode Dispersion by Sardar's Sub-Equation Approach

Jawad,

Yildirim,

Biswas

et al. 2024

Contemp. Math.

View full text Add to dashboard Cite

show abstract

“…Optical solitons are the fundamental building blocks of the telecommunications industry [1][2][3]. These soliton structures result from a delicate balance between chromatic dispersion (CD) and self-phase modulation (SPM) [4][5][6]. Catastrophic consequences can ensue if this balance is compromised [7,8].…”

Section: Introductionmentioning

confidence: 99%

Revisitation of “Implicit Quiescent Optical Solitons with Complex Ginzburg-Landau Equation Having Nonlinear Chromatic Dispersion“: Linear Temporal Evolution

Adem,

Biswas,

Yildirim

et al. 2024

Contemp. Math.

View full text Add to dashboard Cite

The current paper revisits the retrieval of quiescent optical solitons for the complex Ginzburg-Landau equation with nonlinear chromatic dispersion and several forms of self-phase modulation. The results obtained in this work consist of explicit or implicit quiescent optical solitons, unlike the previous report, which were expressed in terms of quadratures. Additionally, this study addresses two additional forms of self-phase modulation: the saturating law and the exponential law. This exploration yields quiescent optical solitons expressed in terms of quadratures for the first time.

show abstract

Revisitation of “implicit quiescent optical solitons with complex Ginzburg–Landau equation having nonlinear chromatic dispersion": generalized temporal evolution

Adem,

Biswas,

Yildirim

et al. 2024

J Opt

View full text Add to dashboard Cite

This paper is a revisitation to the study on the retrieval of quiescent optical solitons to the complex Ginzburg–Landau equation that is considered with generalized temporal evolution and nonlinear chromatic dispersion. The results are recovered with the application of Lie symmetry. Apart from a couple of self-phase modulation structures where the results are in quadratures, the integrals are with a range of special functions. Two new forms of self-phase modulation structures are addressed in the paper.

show abstract

Implicit quiescent optical solitons for the concatenation model with nonlinear chromatic dispersion and power–law of self–phase modulation by Lie symmetry

Cited by 11 publications

References 37 publications

Optical Solitons for the Dispersive Concatenation Model with Polarization Mode Dispersion by Sardar's Sub-Equation Approach

Optical Solitons for the Dispersive Concatenation Model with Polarization Mode Dispersion by Sardar's Sub-Equation Approach

Revisitation of “Implicit Quiescent Optical Solitons with Complex Ginzburg-Landau Equation Having Nonlinear Chromatic Dispersion“: Linear Temporal Evolution

Revisitation of “implicit quiescent optical solitons with complex Ginzburg–Landau equation having nonlinear chromatic dispersion": generalized temporal evolution

Contact Info

Product

Resources

About