scholarly journals Unexpected configurations for the optical solitons propagation in lossy fiber system with dispersion terms effect

2021 ◽  
Author(s):  
Emad Zahran ◽  
Ahmet Bekir
Keyword(s):  
Solitary Wave ◽  
Expansion Method ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Fiber System ◽  
Soliton Propagation ◽  
Dispersion Terms ◽  
Dispersion Term

In this work, we will design unexpected configurations for the optical soliton propagation in lossy fiber system in presence the dispersion term solitons via two distinct and impressive techniques. The first one is the (G’/G)-expansion method, while the second is solitary wave ansatze method. The two methods are implemented in same vein and parallel. The obtained perceptions are new and weren’t achieved before. The comparison between our achieved visions and that achieved by other authors who used different schemas has been documented.

Effects of dispersion terms on optical soliton propagation in a lossy fiber system

2021 ◽  
Vol 104 (1) ◽  
pp. 629-637
Author(s):  
Lili Wang ◽  
Zitong Luan ◽  
Qin Zhou ◽  
Anjan Biswas ◽  
Abdullah Kamis Alzahrani ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Fiber System ◽  
Soliton Propagation ◽  
Dispersion Terms

Optical solitons for coupled Fokas–Lenells equation in birefringence fibers

2019 ◽  
Vol 33 (26) ◽  
pp. 1950317 ◽  
Author(s):  
Nauman Raza ◽  
Saima Arshed ◽  
Sultan Sial
Keyword(s):  
Integral Method ◽  
Expansion Method ◽  
First Integral ◽  
Optical Solitons ◽  
Optical Soliton ◽  
First Integral Method ◽  
Complexiton Solutions ◽  
Existence Criterion

This paper discusses bright, dark and singular optical soliton as well as complexiton solutions to the coupled Fokas–Lenells equation (FLE) for birefringent fibers by three integration tools such as [Formula: see text]-expansion method, the first integral method and the sine-Gordon expansion method. The existence criterion of these solutions is also given.

Highly dispersive optical soliton perturbation with cubic–quintic–septic law via two methods

2021 ◽  
pp. 2150276
Author(s):  
Khalid K. Ali ◽  
Hadi Rezazadeh ◽  
Nauman Raza ◽  
Mustafa Inc
Keyword(s):  
Solitary Wave ◽  
Soliton Solutions ◽  
Algebraic Method ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Mixed Complex ◽  
Solitary Wave Solutions ◽  
Computational System ◽  
Soliton Perturbation ◽  
Wave Solutions

The main consideration of this paper is to discuss cubic optical solitons in a polarization-preserving fiber modeled by nonlinear Schrödinger equation (NLSE). We extract the solutions in the forms of hyperbolic, trigonometric including a class of solitary wave solutions like dark, bright–dark, singular, singular periodic, multiple-optical soliton and mixed complex soliton solutions. A recently developed integration tool known as new extended direct algebraic method (NEDAM) is applied to analyze the governing model. Moreover, the studied equation is discussed with two types of nonlinearity. The constraint conditions are explicitly presented for the resulting solutions. The accomplished results show that the applied computational system is direct, productive, reliable and can be carried out in more complicated phenomena.

TOPOLOGICAL 1-SOLITON SOLUTION OF THE GENERALIZED RADHAKRISHNAN, KUNDU, LAKSHMANAN EQUATION WITH NONLINEAR DISPERSION

2010 ◽  
Vol 24 (16) ◽  
pp. 1825-1831 ◽  
Author(s):  
BENJAMIN STURDEVANT ◽  
DAWN A. LOTT ◽  
ANJAN BISWAS
Keyword(s):  
Solitary Wave ◽  
Power Law ◽  
Soliton Solution ◽  
Optical Solitons ◽  
Nonlinear Dispersion ◽  
Kerr Law

This paper talks about obtaining an exact 1-soliton solution of the generalized Radhakrishnan, Kundu, Lakshmanan equation with nonlinear dispersion. The solitary wave ansatz will be used to carry out the integration. It will be proved that dark optical solitons can exist only when the power law nonlinearity reduces to Kerr law.

scholarly journals Optical Solitons with Beta and M-Truncated Derivatives in Nonlinear Negative-Index Materials with Bohm Potential

Materials ◽  
2021 ◽  
Vol 14 (18) ◽  
pp. 5335
Author(s):  
Muhammad Bilal Riaz ◽  
Jan Awrejcewicz ◽  
Adil Jhangeer
Keyword(s):  
Solitary Wave ◽  
Electromagnetic Waves ◽  
Fractional Derivatives ◽  
Algebraic Method ◽  
Optical Solitons ◽  
Singular Solutions ◽  
Negative Index ◽  
Negative Index Materials ◽  
Bohm Potential

In this article, we explore solitary wave structures in nonlinear negative-index materials with beta and M-truncated fractional derivatives with the existence of a Bohm potential. The consideration of Bohm potential produced quantum phase behavior in electromagnetic waves. The applied technique is the New extended algebraic method. By use of this approach, acquired solutions convey various types of new families containing dark, dark-singular, dark-bright, and singular solutions of Type 1 and 2. Moreover, the constraint conditions for the presence of the obtained solutions are a side-effect of this technique. Finally, graphical structures are depicted.

scholarly journals QUANTUM TREATMENT OF OPTICAL SOLITON PROPAGATION

1993 ◽  
Vol 42 (12) ◽  
pp. 1942
Author(s):  
WEN YANG-JING ◽  
FENG YU ◽  
FU CHUAN-HONG
Keyword(s):  
Optical Soliton ◽  
Soliton Propagation ◽  
Quantum Treatment

Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system

2022 ◽  
Vol 155 ◽  
pp. 111751
Author(s):  
Houria Triki ◽  
Qin Zhou ◽  
Wenjun Liu ◽  
Anjan Biswas ◽  
Luminita Moraru ◽  
...  
Keyword(s):  
Optical Soliton ◽  
Soliton Propagation

Solitary wave solutions of (2+1)-dimensional Maccari system

2021 ◽  
pp. 2150391
Author(s):  
Ghazala Akram ◽  
Naila Sajid
Keyword(s):  
Nonlinear Optics ◽  
Solitary Wave ◽  
Plasma Physics ◽  
Exact Solutions ◽  
Function Method ◽  
Expansion Method ◽  
Periodic Wave ◽  
Hyperbolic Function ◽  
Solitary Wave Solutions ◽  
Wave Solutions

In this article, three mathematical techniques have been operationalized to discover novel solitary wave solutions of (2+1)-dimensional Maccari system, which also known as soliton equation. This model equation is usually of applicative relevance in hydrodynamics, nonlinear optics and plasma physics. The [Formula: see text] function, the hyperbolic function and the [Formula: see text]-expansion techniques are used to obtain the novel exact solutions of the (2+1)-dimensional Maccari system (arising in nonlinear optics and in plasma physics). Many novel solutions such as periodic wave solutions by [Formula: see text] function method, singular, combined-singular and periodic solutions by hyperbolic function method, hyperbolic, rational and trigonometric solutions by [Formula: see text]-expansion method are obtained. The exact solutions are shown through 3D graphics which present the movement of the obtained solutions.

New optical soliton solutions via two distinctive schemes for the DNA Peyrard–Bishop equation in fractal order

2021 ◽  
pp. 2150444
Author(s):  
Loubna Ouahid ◽  
M. A. Abdou ◽  
S. Owyed ◽  
Sachin Kumar
Keyword(s):  
Evolution Equations ◽  
Soliton Solutions ◽  
Expansion Method ◽  
Optical Soliton ◽  
Nonlinear Evolution Equations ◽  
Hyperbolic Function ◽  
Closed Form Solutions ◽  
Special Solutions ◽  
Engineering Physics ◽  
Exact Soliton Solutions

The deoxyribonucleic acid (DNA) dynamical equation, which emerges from the oscillator chain known as the Peyrard–Bishop (PB) model for abundant optical soliton solutions, is presented, along with a novel fractional derivative operator. The Kudryashov expansion method and the extended hyperbolic function (HF) method are used to construct novel abundant exact soliton solutions, including light, dark, and other special solutions that can be directly evaluated. These newly formed soliton solutions acquired here lead one to ask whether the analytical approach could be extended to deal with other nonlinear evolution equations with fractional space–time derivatives arising in engineering physics and nonlinear sciences. It is noted that the newly proposed methods’ performance is most reliable and efficient, and they will be used to construct new generalized expressions of exact closed-form solutions for any other NPDEs of fractional order.

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