Perturbation of higher-order solitons by fourth-order dispersion in optical fibers

2009 ◽  
Vol 282 (18) ◽  
pp. 3798-3803 ◽  
Author(s):  
Samudra Roy ◽  
Shyamal K. Bhadra ◽  
Govind P. Agrawal
Keyword(s):  
Optical Fibers ◽  
Fourth Order ◽  
Higher Order ◽  
Order Dispersion

scholarly journals Influence of Even-Order Dispersion on Super-Sech Soliton Transmission Quality under Coherent Crosstalk

2008 ◽  
Vol 2008 ◽  
pp. 1-5 ◽  
Author(s):  
Aleksandra Panajotovic ◽  
Daniela Milovic ◽  
Anjan Biswas ◽  
Essaid Zerrad
Keyword(s):  
Fourth Order ◽  
Optical Network ◽  
Single Mode ◽  
Single Mode Fiber ◽  
Higher Order ◽  
Trailing Edges ◽  
Even Order ◽  
Transmission Quality ◽  
The Impact ◽  
Order Dispersion

The transmission speed of optical network strongly depends on the impact of higher order dispersion. In presence of coherent crosstalk, which cannot be otherwise controlled by optical filtering, the impact of higher order dispersions becomes more pronounced. In this paper, the general expressions, that describe pulse deformation due to second- and fourth-order dispersions in a single-mode fiber, are given. The responses for such even-order dispersions, in presence of coherent crosstalk, are characterized by waveforms with long trailing edges. The transmission quality of optical pulses, due to both individual and combined influence of second- and fourth-order dispersions, is studied in this paper. Finally, the pulse shape and eye diagrams are obtained.

The effects of fourth-order dispersion on modulation instabilities in two-core optical fibers with asymmetric CW state

2020 ◽  
Vol 95 (11) ◽  
pp. 115502
Author(s):  
Jin Hua Li ◽  
Ting Ting Sun ◽  
You Qiao Ma ◽  
Yun Yun Chen ◽  
Zhao Lou Cao ◽  
...  
Keyword(s):  
Optical Fibers ◽  
Fourth Order ◽  
Order Dispersion

Modulation instabilities in nonlinear two-core optical fibers with fourth order dispersion

Optik ◽  
2020 ◽  
Vol 208 ◽  
pp. 164134 ◽  
Author(s):  
Jin Hua Li ◽  
Ting Ting Sun ◽  
You Qiao Ma ◽  
Y.Y. Chen ◽  
Zhao Lou Cao ◽  
...  
Keyword(s):  
Optical Fibers ◽  
Fourth Order ◽  
Order Dispersion

Analytical methods via bright–dark solitons and solitary wave solutions of the higher-order nonlinear Schrödinger equation with fourth-order dispersion

2019 ◽  
Vol 33 (35) ◽  
pp. 1950443 ◽  
Author(s):  
Aly R. Seadawy ◽  
Mujahid Iqbal ◽  
Dianchen Lu
Keyword(s):  
Solitary Wave ◽  
Fourth Order ◽  
Schrodinger Equation ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
Solitary Wave Solutions ◽  
Physical Sciences ◽  
Dark Solitons ◽  
Wave Solutions ◽  
Order Dispersion

In this research work, we investigated the higher-order nonlinear Schrödinger equation (NLSE) with fourth-order dispersion, self-steepening, nonlinearity, nonlinear dispersive terms and cubic-quintic terms which is described as the propagation of ultra-short pulses in fiber optics. We apply the modification form of extended auxiliary equation mapping method to find the new exact and solitary wave solutions of higher-order NLSE. As a result, new solutions are obtained in the form of solitons, kink–anti-kink type solitons, bright–dark solitons, traveling wave, trigonometric functions, elliptic functions and periodic solitary wave solutions. These new different types of solutions show the power and fruitfulness of this new method and also show two- and three-dimensional graphically with the help of computer software Mathematica. These new solutions have many applications in the field of physics and other branches of physical sciences. We can also solve other higher-order nonlinear partial differential equations (NPDEs) involved in mathematical physics and other various branches of physical sciences with this new technique.

Modulational Instability of the Higher-Order Nonlinear Schrödinger Equation with Fourth-Order Dispersion and Quintic Nonlinear Terms

2006 ◽  
Vol 61 (5-6) ◽  
pp. 225-234 ◽  
Author(s):  
Woo-Pyo Hong
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Fourth Order ◽  
Schrodinger Equation ◽  
Modulational Instability ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
Normal Dispersion ◽  
Nonlinear Schrödinger ◽  
Order Dispersion

The modulational instability of the higher-order nonlinear Schrödinger equation with fourth-order dispersion and quintic nonlinear terms, describing the propagation of extremely short pulses, is investigated. Several types of gains by modulational instability are shown to exist in both the anomalous and normal dispersion regimes depending on the sign and strength of the higher-order nonlinear terms. The evolution of the modulational instability in both the anomalous and normal dispersion regimes is numerically investigated and the effects of the higher-order dispersion and nonlinear terms on the formation and evolution of the solitons induced by modulational instability are studied. - PACS numbers: 42.65.Tg, 42.81Dp, 42.65Sf

Soliton-like pulses governed by fourth order dispersion in optical fibers

1994 ◽  
Vol 104 (4-6) ◽  
pp. 303-307 ◽  
Author(s):  
Magnus Karlsson ◽  
Anders Höök
Keyword(s):  
Optical Fibers ◽  
Fourth Order ◽  
Order Dispersion
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