Stable optical soliton in the ring-cavity fiber system with carbon nanotube as saturable absorber

Li, Bang‐Qing; Ma, Yu‐Lan; Yang, Tie-Mei

doi:10.1016/j.spmi.2017.11.016

Cited by 21 publications

(12 citation statements)

References 58 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where cn is Jacobi elliptic cosine function, and dn is the third Jacobi elliptic function. Substituting (9) to (12) into (8), collecting the term sn( ) with the same powers, and letting their coefficients be zero, we get…”

Section: The Periodic Wave Solutions and Soliton Solutions For Equatimentioning

confidence: 99%

See 1 more Smart Citation

A series of the solutions for the Heisenberg ferromagnetic spin chain equation

2018

Math Methods in App Sciences

Self Cite

View full text Add to dashboard Cite

MSC Classification: 34C25-28; 58F05; 58F30 the improved F-expansion method (Exp-function method) and the Jacobi elliptic method, respectively, a series of exact solutions is constructed. The parametric conditions of the existence for the solutions are presented. These solutions comprise periodic wave solutions, doubly periodic wave solutions, and dark and bright soliton solutions, which are expressed in several different function forms, namely, Jacobi elliptic function, trigonometric function, hyperbolic function, and exponential function. The results illustrate that the Exp-function method is a powerful symbolic algorithm to look for new solutions for the nonlinear evolution systems. KEYWORDS (2+1)-dimensional Heisenberg ferromagnetic spin chain equation, exact solution, improve F-expansion method, Jacobi elliptic function method, soliton solution 3316

show abstract

Section: The Periodic Wave Solutions and Soliton Solutions For Equatimentioning

confidence: 99%

“…With the need to solve various application problems, many NLSE-type models have been advanced by considering complex nonlinear factors. [10][11][12][13] Very recently, a new (2+1)-dimensional NLSE-type equation was derived to describe nonlinear wave in Heisenberg ferromagnetic spin chain system 14 :…”

Section: Introductionmentioning

confidence: 99%

A series of the solutions for the Heisenberg ferromagnetic spin chain equation

2018

Math Methods in App Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

“…1), which is equipped with CNTs as SA mode locker, coupler, Er-doped fiber (EDF), a standard single-mode fiber (SMF), polarization controller, optical isolator, and wavelength-division multiplexer (WDM). The system can be modelled as the following non-standard NLS equation [60][61][62][63],…”

Section: Introductionmentioning

confidence: 99%

Breathers, Rogue waves, Chirp-free solitons and M-shape solitons with carbon nanotube as saturable absorbe in the ring-cavity fiber system

Ahmed

2023

Preprint

View full text Add to dashboard Cite

In this work, by applying the logarithmic transformation and symbolic computation with ansatz functions scheme, we examined the new solitons with carbon nanotube (CNT) as saturable absorbe (SA) in the ring-cavity fiber system. The system is renowned as a non-standard Schrodinger model through the coefficients combined real and imaginary numbers. We obtained Chirp-free soliton, Homoclinic breathers, M-shaped rational solitons, Multiwaves and their dynamics are revealed in plots by choosing the proper values of parameters. Additionally, four categories of interaction of M-shaped rational soliton with rogue wave, periodic wave and kink wave are studied. we accomplished the new structures and very fascinating interactional phenomena of M shaped soliton with kink waves. Furthermore, through a mixture of quadratic, cosine and hyperbolic transformations we obtained periodic cross rational (PCR) solutions and via three wave transformation we generated multiwave solutions.

show abstract

“…To develop a deeper understanding of this type of study, mathematicians have derived many analytical, semi-analytical, and numerical schemes to obtain distinct types of solutions that are used to characterize the physical properties of optical soliton waves. The optical soliton constitutes an optical field that does not alter through multiplication due to a sensitive balance being struck between linear and non-linear impacts in the medium [1][2][3][4][5]. Optical soliton can be of two types:…”

Section: Introductionmentioning

confidence: 99%

Approximate Simulations for the Non-linear Long-Short Wave Interaction System

et al. 2020

View full text Add to dashboard Cite

This research paper studies the semi-analytical and numerical solutions of the non-linear long-short wave interaction system. This represents an optical field that does not change through multiplication due to a sensitive balance being struck between linear and non-linear impacts in an elastic medium, defined as a medium that can adjust its shape as a consequence of deforming stress and return to its original form when the force is eliminated. In this medium, a wave is produced by vibrations that are a consequence of acoustic power, known as a sound wave or acoustic wave. The Adomian decomposition method and the cubic and septic B-spline methods are applied to the suggested system to obtain distinct types of solutions that are used to explain the novel physical properties of this system. These novel features are described by different types of figures that show more of the physical properties of this model. Also, the convergence between the obtained solutions is discussed through tables that show the values of absolute error between them.

show abstract

Stable optical soliton in the ring-cavity fiber system with carbon nanotube as saturable absorber

Cited by 21 publications

References 58 publications

A series of the solutions for the Heisenberg ferromagnetic spin chain equation

A series of the solutions for the Heisenberg ferromagnetic spin chain equation

Breathers, Rogue waves, Chirp-free solitons and M-shape solitons with carbon nanotube as saturable absorbe in the ring-cavity fiber system

Approximate Simulations for the Non-linear Long-Short Wave Interaction System

Contact Info

Product

Resources

About