New optical soliton solutions for Triki–Biswas model by new extended direct algebraic method

2020 ◽  
pp. 2150023
Author(s):  
Hadi Rezazadeh ◽  
Jamilu Sabi’u ◽  
Rajarama Mohan Jena ◽  
S. Chakraverty
Keyword(s):  
Optical Fiber ◽  
Group Velocity ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
Soliton Solutions ◽  
Algebraic Approach ◽  
Ultrashort Pulses ◽  
Algebraic Method ◽  
Optical Soliton

The study focuses on the use of a direct algebraic approach to the analysis of the Triki–Biswas (TB) model. This model addresses the distribution of ultrashort pulses in optical fiber in the presence of non-Kerr dispersion concept and group velocity dispersion. However, using the new extended direct algebraic method, we have obtained various optical soliton solutions for the TB model. The optical soliton solutions are new and reliable compared to the existing methods.

Dark solitons for a variable-coefficient Kundu–Eckhaus equation in an inhomogeneous optical fiber with the relevant Lax pair and binary Darboux transformations

2019 ◽  
Vol 33 (01) ◽  
pp. 1850418 ◽  
Author(s):  
Ze Zhang ◽  
Bo Tian ◽  
Han-Peng Chai ◽  
Hui-Min Yin ◽  
Chen-Rong Zhang
Keyword(s):  
Optical Fiber ◽  
Group Velocity ◽  
Variable Coefficient ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
Soliton Solutions ◽  
Lax Pair ◽  
Darboux Transformations ◽  
Dark Solitons ◽  
The One

In this paper, we study a Kundu–Eckhaus equation with variable coefficients, which describes the ultra-short optical pulses in an inhomogeneous optical fiber. We construct the Lax pair under certain variable-coefficient constraints. With the gauge transformation, one/N-fold binary Darboux transformations and limit forms of the one-fold binary Darboux transformation are obtained. Based on such transformations, one/N-dark (N = 2,3, [Formula: see text]) soliton solutions under those constraints are derived. Linear, periodic and parabolic dark solitons are presented, and numerical simulations are used to investigate the influence of the group velocity dispersion on the structures of the one-dark solitons. Based on the two-dark soliton solutions under certain variable-coefficient constraints, we also discuss the influence of the group velocity dispersion on the structures of the two-dark solitons. Head-on and overtaking collisions between the two linear, parabolic and cubic-type dark solitons are presented.

Chirped optical solitons for Triki–Biswas equation

2019 ◽  
Vol 33 (22) ◽  
pp. 1950264 ◽  
Author(s):  
Syed Tahir Raza Rizvi ◽  
Insibat Afzal ◽  
Kashif Ali
Keyword(s):  
Optical Fiber ◽  
Group Velocity ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
Ultrashort Pulses ◽  
Optical Solitons ◽  
Optical Pulses ◽  
Dispersion Term

This paper retrieves chirped sub-pico optical pulses for Triki–Biswas equation with the help of two integration architectonics. This model discusses ultrashort pulses propagation in optical fiber in the presence of non-Kerr dispersion term and group velocity dispersion. We will obtain bright, dark and dark singular combo-optical solitons under some constraint conditions.

Propagation of diverse ultrashort pulses in optical fiber to Triki–Biswas equation and its modulation instability analysis

2021 ◽  
Author(s):  
Tukur Abdulkadir Sulaiman ◽  
Abdullahi Yusuf ◽  
Bashir Yusuf ◽  
Dumitru Baleanu
Keyword(s):  
Optical Fiber ◽  
Model Equation ◽  
Pulse Propagation ◽  
Modulation Instability ◽  
Soliton Solutions ◽  
Ultrashort Pulses ◽  
Optical Soliton ◽  
Integration Scheme ◽  
Efficient Integration ◽  
Complex Models

This paper presents the modulation instability (MI) analysis and the different types of optical soliton solutions of the Triki–Biswas model equation. The aforesaid model equation is the generalization of the derivative nonlinear Schrödinger equation which describes the ultrashort pulse propagation with non-Kerr dispersion. The study is carried out by means of a novel efficient integration scheme. During this work, a sequence of optical solitons is produced that may have an important in optical fiber systems. The results show that the studied model hypothetically has incredibly rich optical soliton solutions. The constraint conditions for valid soliton solutions are also reported. The gained results show that the applied method is efficient, powerful and can be applied to various complex models with the help of representative calculations.

scholarly journals Giant all-optical tunable group velocity dispersion in an optical fiber

2014 ◽  
Vol 22 (12) ◽  
pp. 14382 ◽  
Author(s):  
Yunhui Zhu ◽  
Joel A. Greenberg ◽  
Nor Ain Husein ◽  
Daniel J. Gauthier
Keyword(s):  
Optical Fiber ◽  
Group Velocity ◽  
Velocity Dispersion ◽  
Group Velocity Dispersion ◽  
All Optical
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