Optical solitons with Biswas–Arshed model using mapping method

Rehman, Hamood Ur; Saleem, Muhammad Shoaib; Zubair, M.; Jafar, Sobia; Latif, Iqra

doi:10.1016/j.ijleo.2019.163091

Cited by 57 publications

(13 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, Biswas and Arshed introduced a model which is greatly interesting due to the consideration of minor GVD and neglecting the SPM [1]. A number of works have done on this model to investigate optical solitons by using various approaches such as the trail solution technique [12], modified simple equation technique [13], Kerr and power law nonlinearity [14,15], mapping method [16], the extended trial function method [17], parameter restriction approach [18] and the tan( θ 2 ) expansion approach [19]. They also pointed out the bright, singular and combosolitons for the two integration structures of the model.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation Analysis and Bounded Optical Soliton Solutions of the Biswas-Arshed Model

Alshammari¹,

Hoque²,

Harun-Or-Roshid³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

We investigate the bounded travelling wave solutions of the Biswas-Arshed model (BAM) including the low group velocity dispersion and excluding the self-phase modulation. We integrate the nonlinear structure of the model to obtain bounded optical solitons which pass through the optical fibers in the non-Kerr media. The bifurcation technique of the dynamical system is used to achieve the parameter bifurcation sets and split the parameter space into various areas which correspond to different phase portraits. All bounded optical solitons and bounded periodic wave solutions are identified and derived conforming to each region of these phase portraits. We also apply the extended sinh-Gordon equation expansion and the generalized Kudryashov integral schemes to obtain additional bounded optical soliton solutions of the BAM nonlinearity. We present more bounded optical shock waves, the bright-dark solitary wave, and optical rogue waves for the structure model via these schemes in different aspects. KEYWORDSThe Biswas-Arshed model; the extended sinh-Gordon equation expansion; the generalized Kudryashov approach; shock wave double solitons; optical singular double solitons; chirp-free bright-dark double solitons

show abstract

Section: Introductionmentioning

confidence: 99%

Bifurcation Analysis and Bounded Optical Soliton Solutions of the Biswas-Arshed Model

Alshammari¹,

Hoque²,

Harun-Or-Roshid³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…The construction of mathematical models for real-world phenomena and improvement of useful methods to define them is one of the most important field in applied mathematics. Many analytical methods for studying such kind of problems have been developed by researchers from all over the world such as the sine-cosine method, 1 modified extended tanh-function method, 2 the extended and improved F-expansion method, 3 the homogenous balance method, 4 the Hirota's bilinear method, [5][6][7][8][9] the inverse scattering method, 10 the Backlund transformation method, 11,12 truncated Painleve expansion method, 13 the variational method, 14 He's semi-inverse variational principle, 15 the asymptotic method, 16 the method of integrability, 17 homotopy perturbation method, 18 the soliton perturbation theory, 19 the Sine-Gordon expansion method, 20 generalized Darboux transformation method, 21 the Kudryashov's method, 22 the Sardar-subequation method, 23 the modified extended direct algebraic method (EDAM), 24 the mapping method, 25 and tanh method. 26 In addition, a huge interest has been revealed in the field of fractional calculus.…”

Section: Introductionmentioning

confidence: 99%

On solutions of the Newell–Whitehead–Segel equation and Zeldovich equation

Rehman

Asjad

Ullah

et al. 2021

Math Methods in App Sciences

View full text Add to dashboard Cite

In this study, we present new solutions of Newel-Whitehead-Segel and Zeldovich equations via the new extended direct algebraic method (EDAM) by taking the special values to involved parameters in the method. The novel exact and soliton solutions are extracted in form of generalized trigonometric and hyperbolic functions. These acquired results reveal the supremacy of the new EDAM. For more illustration of our retrieved solutions, some distinct kinds of 2D and 3D graphs are presented.

show abstract

“…It is polarization of light that prompts bunch speed mismatch,which is at last liable for differential gathering delay and numerous other negative impacts and consequently the examination of optical soliton is one of the most intriguing and interesting zones of exploration in nonlinear optics. There are well known computational and powerful techniques to find the optical exact soliton solutions of the differential equations Seadawy et al 2019aSeadawy et al , 2020aYounis et al 2017Younis et al , 2020Donne et al 2020;Rehman et al 2019a;Iqbal et al 2019aIqbal et al , b, 2020Cheemaa et al 2019;Rizvi et al 2020;Lu et al 2019;Seadawy and Abdullah 2019).…”

Section: Introductionmentioning

confidence: 99%

Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique

et al. 2021

View full text Add to dashboard Cite

In this article, we are interested to discuss the exact optical soiltons and other solutions in birefringent fibers modeled by Radhakrishnan-Kundu-Lakshmanan equation in two component form for vector solitons. We extract the solutions in the form of hyperbolic, trigonometric and exponential functions including solitary wave solutions like multipleoptical soliton, mixed complex soliton solutions. The strategy that is used to explain the dynamics of soliton is known as generalized exponential rational function method. Moreover, singular periodic wave solutions are recovered and the constraint conditions for the existence of soliton solutions are also reported. Besides, the physical action of the solution attained are recorded in terms of 3D, 2D and contour plots for distinct parameters. The achieved outcomes show that the applied computational strategy is direct, efficient, concise and can be implemented in more complex phenomena with the assistant of symbolic computations. The primary benefit of this technique is to develop a significant relationships between NLPDEs and others simple NLODEs and we have succeeded in a single move to get and organize various types of new solutions. The obtained outcomes show that the applied method is concise, direct, elementary and can be imposed in more complex phenomena with the assistant of symbolic computations

show abstract

Optical solitons with Biswas–Arshed model using mapping method

Cited by 57 publications

References 19 publications

Bifurcation Analysis and Bounded Optical Soliton Solutions of the Biswas-Arshed Model

Bifurcation Analysis and Bounded Optical Soliton Solutions of the Biswas-Arshed Model

On solutions of the Newell–Whitehead–Segel equation and Zeldovich equation

Highly dispersive optical solitons and other soluions for the Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers by an efficient computational technique

Contact Info

Product

Resources

About