Optical solitons and other solutions in birefringent fibers with Biswas-Arshed equation by Jacobi's elliptic function approach

El-Sheikh, M. M. A.; Ahmed, Hamdy M.; Arnous, Ahmed H.; Rabie, Wafaa B.

doi:10.1016/j.ijleo.2019.163546

Cited by 43 publications

(11 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Besides detrimental aspects of the random birefringence in optical fibers, a controlled and artificial birefringence introduced in the fiber is occasionally used to realize in-line fiber optical components and devices. Birefringence leads to the coupled mode version of the governing of nonlinear Schrödinger's equation (NLSE) that describes the pulse transmission dynamics through these fibers [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Optical solitons in birefringent fibers of Kaup-Newell's equation with extended simplest equation method

Ahmed¹,

Rabie²,

Arnous³

et al. 2020

Phys. Scr.

View full text Add to dashboard Cite

The area of telecommunications has experienced a considerable growth in the last few decades due to remarkable development in the field of optical fibers. Optical solitons form the basic fabric in the area of telecommunication industry. The captivating technology of sub-pico second pulses that propagate through optical fibers is modeled with Kaup-Newell’s (KN) equation. In this paper, we introduce the KN equation without four-wave mixing (FWM) terms in birefringent fibers, we study this equation, and we obtain different types of solutions. Beside bright, dark and singular solitons, other types of solutions are obtained. Moreover, for the physical illustration of the obtained solutions, the graphs are presented.

show abstract

Section: Introductionmentioning

confidence: 99%

Optical solitons in birefringent fibers of Kaup-Newell's equation with extended simplest equation method

Ahmed¹,

Rabie²,

Arnous³

et al. 2020

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…In this context, several computational approaches have been developed by researchers. Instantly, Backlund transformation [5], first integral method [6], Jacobi elliptic function scheme [7,8], extended simplest equation technique [9][10][11], F-expansion method [12,13], trial equation scheme [14,15], various rational ( ) / G G ¢ -expansion tools [16][17][18], exp-function approach [19,20], improved tanh approach [21], Darboux transformation approach [22], different Hirota schemes [23][24][25][26][27], Kudryashov technique [28] etc. This present study is conducted by implementing two competent techniques such as improved tanh and improved auxiliary equation.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model

et al. 2023

View full text Add to dashboard Cite

Distinct models involving nonlinearity are mostly appreciated for illustrating intricate phenomena arise in the nature. The new (3+1)-dimensional generalized nonlinear Boiti-Leon-Manna-Pempinelli (BLMP) model describes the dynamical behaviors of nonlinear waves arise in incompressible fluid. This present effort deals with the well-known governing BLMP equation by adopting two efficient schemes, namely improved tanh and improved auxiliary equation. As a result, a variety of appropriate wave solutions are made available in different type functions. The gathered solutions are figured out to characterize their internal properties for depicting the relevant phenomena. Diverse wave profiles are noticed in 3D, 2D and contour sense after assigning parameter’s values involved in the achieved solutions. The finding results are comparably different and general due to the existing wave solutions. The employed approaches perform in a great way to construct analytic wave solutions of considered evolution equation and deserve further use in relevant research area.

show abstract

“…Jacobi elliptic function scheme [7,8], extended simplest equation technique [9][10][11], Fexpansion method [12,13], trial equation scheme [14,15], various rational (𝐺 ′ /𝐺)-expansion tools [16][17][18], exp-function approach [19,20], improved tanh approach [21], Darboux transformation approach [22], different Hirota schemes [23][24][25][26][27], Kudryashov technique [28] etc. This present study is conducted by implementing two competent techniques such as improved tanh and improved auxiliary equation.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model

Islam

Sarkar

Abdullah

et al. 2023

Preprint

View full text Add to dashboard Cite

Distinct models involving nonlinearity are mostly appreciated for illustrating intricate phenomena arise in the nature. The new (3 + 1)-dimensional generalized nonlinear Boiti-Leon-Manna-Pempinelli (BLMP) model describes the dynamical behaviors of nonlinear waves arise in incompressible fluid. This present effort deals with the well-known governing BLMP equation by adopting two efficient schemes, namely improved tanh and improved auxiliary equation. As a result, a variety of appropriate wave solutions are made available in different type functions. The gathered solutions are figured out to characterize their internal properties for depicting the relevant phenomena. Diverse wave profiles are noticed in 3D, 2D and contour sense after assigning parameter’s values involved in the achieved solutions. The finding results are comparably different and general due to the existing wave solutions. The employed approaches perform in a great way to construct analytic wave solutions of considered evolution equation and deserve further use in relevant research area. Mathematics Subject Classifications: 35C08, 35R11

show abstract

Optical solitons and other solutions in birefringent fibers with Biswas-Arshed equation by Jacobi's elliptic function approach

Cited by 43 publications

References 19 publications

Optical solitons in birefringent fibers of Kaup-Newell's equation with extended simplest equation method

Optical solitons in birefringent fibers of Kaup-Newell's equation with extended simplest equation method

Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model

Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model

Contact Info

Product

Resources

About