Chirped singular and combo optical solitons for Chen–Lee–Liu equation with three forms of integration architecture

Jawad, Anwar Ja’afar Mohamad; Biswas, Anjan; Zhou, Qin; Alfiras, Mohanad; Moshokoa, Seithuti P.; Belić, Milivoj R.

doi:10.1016/j.ijleo.2018.10.020

Cited by 17 publications

(4 citation statements)

References 9 publications

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“…The analytical solutions derived using the methods described in the above are a sort of traveling wave solution known as a soliton solution. Solitons have the unique characteristic of interacting like particles and propagating across long distances without altering shape or velocity [18]. Optical solitons are a prominent area of research in nonlinear optics, and their unique properties have made them the foundation of soliton transmission technology.…”

Section: Introductionmentioning

confidence: 99%

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Diverse optical soliton solutions of two space-time fractional nonlinear evolution equations by the extended kudryashov method

Devnath,

Akbar,

Gómez-Aguilar

2023

Phys. Scr.

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This study investigates the comprehensive optical soliton solutions to the (2+1)-dimensional nonlinear time-fractional Zoomeron equation and the space-time fractional nonlinear Chen-Lee-Liu equation using the extended Kudryashov technique. The newly defined beta derivative is used to conduct the fractional terms and investigate wide-spectral soliton solutions to the considered models. The general solutions yield a variety of typical soliton shapes, including V-shaped soliton, anti-bell-shaped soliton, kink soliton, periodic soliton, singular periodic soliton, etc. The three-dimensional, contour, and two-dimensional graphs of the derived solitons have been plotted to illustrate the structure, propagation, and influence of the fractional parameter. The precision of the acquired solutions is confirmed by reintroducing them into the original equation using Mathematica. The findings of this study indicate that the employed method has the capability of yielding compatible, creative, and useful solutions for diverse nonlinear evolution equations with fractional derivatives. This approach could introduce novel ways for unraveling other nonlinear equations and have implications in diverse sectors of nonlinear science and engineering.

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Section: Introductionmentioning

confidence: 99%

“…The space-time fractional NPCLL equation Figures1-3depict the profiles of the absolute, part, and imaginary parts of the solution(18), respectively. The absolute plot of solution(18) indicates an anti-peakon soliton for a set of values of p 0…”

mentioning

confidence: 99%

Diverse optical soliton solutions of two space-time fractional nonlinear evolution equations by the extended kudryashov method

Devnath,

Akbar,

Gómez-Aguilar

2023

Phys. Scr.

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“…It is worth mentioning that optical soliton pulses constitute the basic fabric for soliton transmission technology, data transmission across optical fibers and telecommunications industry. The unique property of solitons is that they interact like particles [25]. Optical solitons represent a nonlinear pulse or wave packet and travel without changing their shape and velocity across intercontinental distances [26].…”

Section: Introductionmentioning

confidence: 99%

Effects of fractional temporal evolution on chirped soliton solutions of the Chen-Lee-Liu equation

2021

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In this paper, we show the effect of fractional temporal evolution on chirped soliton solutions of the Chen-Lee-Liu equation (CLLE). We adopt the New Modified SARDAR Sub-equation Method to derive bright and dark solitons, periodic and singular function solutions, and plot some of them in (3D) dimension. We prove that smaller is the order of the temporal derivative, greater is the effect on the propagating waves. This characterization gives better and full information about these propagating waves, and therefore, it leads to a marked improvement in the multiple related relevant applications.

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“…Besides, these equations explain the pulse dynamics in optical fibers [3,4]. Furthermore, various computational, semi-analytical and analytical methods have been proposed and used in the past decades to examine many classes of Schrödinger equations, see [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] and the references therein. However, a class of nonlinear Schrödinger equation with a great number of applications is the so-called Chen-Lee-Liu equation given in dimensionless form as [23] + + = iu au ib u u 0, 1.1…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of the Adomian-based methods with w-shaped optical solitons of Chen-Lee-Liu equation

Mohammed

Bakodah

2020

Phys. Scr.

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The present paper computationally examines the w-shaped solitary wave solutions for an important type of nonlinear Schrödinger equation that appeared in 1979 called the Chen-Lee-Liu (CLL) equation by proposing two recursive schemes. The schemes are based on the famous Adomian’s efficient decomposition technique. We successfully simulated the two proposed schemes with the aid of mathematical software and established a comparative analysis. It is noted from the present study that the improved method performs better than the classical method at different time levels. This is in fact in conformity with most of the results in the related literature. We finally present tables and a series of figures to support the presented results.

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Chirped singular and combo optical solitons for Chen–Lee–Liu equation with three forms of integration architecture

Cited by 17 publications

References 9 publications

Diverse optical soliton solutions of two space-time fractional nonlinear evolution equations by the extended kudryashov method

Diverse optical soliton solutions of two space-time fractional nonlinear evolution equations by the extended kudryashov method

Effects of fractional temporal evolution on chirped soliton solutions of the Chen-Lee-Liu equation

Numerical investigation of the Adomian-based methods with w-shaped optical solitons of Chen-Lee-Liu equation

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