scholarly journals Statistical dynamics of dual-power law optical soliton

2008 ◽  
Vol 21 (1) ◽  
pp. 37-44
Author(s):  
Anjan Biswas
Keyword(s):  
Perturbation Theory ◽  
Optical Fiber ◽  
Power Law ◽  
Langevin Equation ◽  
Stochastic Perturbation ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Statistical Dynamics ◽  
Soliton Perturbation ◽  
Dual Power

The dynamics of optical solitons with dual-power law nonlinearity, in presence of a stochastic perturbation term, is studied in this paper. The soliton perturbation theory is exploited to obtain the Langevin equation by virtue of which one can conclude that solitons travel down the optical fiber with a fixed mean free velocity. .

scholarly journals Optical soliton perturbation and conservation law with Kudryashov’s refractive index having quadrupled power-law and dual form of generalized nonlocal nonlinearity

2021 ◽  
Vol 24 (1) ◽  
pp. 64-70
Author(s):  
Y. Yildirim ◽  
◽  
A. Biswas ◽  
A.H. Kara ◽  
M. Ekici ◽  
...  
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Nonlinear Refractive Index ◽  
Conservation Law ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Complete Picture ◽  
Nonlocal Nonlinearity ◽  
Dual Form ◽  
Soliton Perturbation

This paper is devoted to optical solitons for Kudryashov’s law of nonlinear refractive index, which stem from quadrupled-power law and dual form of nonlocal nonlinearity. The conservation law has been also exhibited to paint a complete picture of the model.

Optical soliton perturbation with spatio-temporal dispersion in parabolic and dual-power law media by semi-inverse variational principle

Optik ◽  
2014 ◽  
Vol 125 (17) ◽  
pp. 4945-4950 ◽  
Author(s):  
A.H. Bhrawy ◽  
A.A. Alshaery ◽  
E.M. Hilal ◽  
Kaisar R. Khan ◽  
Mohammad F. Mahmood ◽  
...  
Keyword(s):  
Variational Principle ◽  
Power Law ◽  
Optical Soliton ◽  
Soliton Perturbation ◽  
Spatio Temporal ◽  
Temporal Dispersion ◽  
Dual Power

Dispersive optical solitons with Schrödinger–Hirota equation

2014 ◽  
Vol 23 (01) ◽  
pp. 1450014 ◽  
Author(s):  
A. H. Bhrawy ◽  
A. A. Alshaery ◽  
E. M. Hilal ◽  
Wayne N. Manrakhan ◽  
Michelle Savescu ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Hirota Equation ◽  
Bright Solitons ◽  
Soliton Perturbation ◽  
Full Nonlinearity

The dynamics of dispersive optical solitons, modeled by Schrödinger–Hirota equation, are studied in this paper. Bright, dark and singular optical soliton solutions to this model are obtained in presence of perturbation terms that are considered with full nonlinearity. Soliton perturbation theory is also applied to retrieve adiabatic parameter dynamics of bright solitons. Optical soliton cooling is also studied. Finally, exact bright, dark and singular solitons are addressed for birefringent fibers with perturbation terms included.

OPTICAL SOLITON PERTURBATION WITH BANDWIDTH LIMITED AMPLIFICATION AND SATURABLE AMPLIFIERS

1999 ◽  
Vol 08 (02) ◽  
pp. 277-288 ◽  
Author(s):  
ANJAN BISWAS
Keyword(s):  
Perturbation Theory ◽  
Optical Fiber ◽  
Numerical Simulations ◽  
Perturbation Expansion ◽  
Multiple Scale ◽  
Optical Soliton ◽  
Soliton Perturbation ◽  
Scale Perturbation ◽  
Definition Of ◽  
First Time

The propagation of solitons through an optical fiber, described by the perturbed Nonlinear Schrödinger's equation, is studied in this paper by the method of Multiple Scale Perturbation Expansion. Here, it is shown for the first time that, by introducing a new definition of the phase of soliton, one can obtain corrections to the pulse, in presence of the perturbation terms, where the standard soliton perturbation theory fails. This dynamically stable soliton is a very useful physical model in the optical soliton communication world. A comparison is made with results obtained by other methods along with numerical simulations.

Highly dispersive optical soliton perturbation of Kudryashov’s arbitrary form having sextic-power law refractive index

2021 ◽  
Vol 35 (24) ◽  
Author(s):  
Ahmed M. Elsherbeny ◽  
Reda El-Barkouky ◽  
Aly R. Seadawy ◽  
Hamdy M. Ahmed ◽  
Rabab M. I. El-Hassani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Soliton Solutions ◽  
Research Paper ◽  
Optical Soliton ◽  
Integration Scheme ◽  
Arbitrary Form ◽  
Soliton Perturbation ◽  
Singular Soliton ◽  
Simple Integration

In this research paper, a simple integration scheme is executed to secure new dark and singular soliton solutions for the highly dispersive nonlinear Schrödinger’s equation having Kudryashov’s arbitrary form with generalized nonlocal laws and sextic-power law refractive index.

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