Optical soliton solutions of the coupled Radhakrishnan-Kundu-Lakshmanan equation by using the extended direct algebraic approach

Mahmood, Ayesha; Srivastava, Hari Mohan; Abbas, Muhammad; Abdullah, Farah Aini; Othman Mohammed, Pshtiwan; Baleanu, Dumitru; Chorfi, Nejmeddine

doi:10.1016/j.heliyon.2023.e20852

Cited by 7 publications

(2 citation statements)

References 45 publications

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“…Figure 1 illustrates the bright soliton solution derived from Equation (15), showcasing the localized, coherent wave packets characteristic of bright solitons. Figures 2 and 3 depict bright periodic singular soliton and bright singular solutions, respectively, each derived from Equations ( 16), ( 23) and (24), and Equation (17). Figure 4 presents a series of singular bell-shaped soliton solutions, exhibiting the characteristic bell-shaped profiles with singular features, obtained from Equations ( 18), ( 20), ( 22), ( 25), (27), and (28).…”

Section: Resultsmentioning

confidence: 99%

“…Optical solitons, renowned for their capacity to transmit waves over extensive distances without dispersion, represent a significant research domain within optics and optoelectronics [15]. These solitons have revolutionized the telecom industry, leading to advancements in high-speed communication systems [16][17][18][19][20][21]. As a result, fractional-order NLPDEs have garnered attention in recent studies, particularly in optics and other applied sciences, owing to their potential applications in modeling highly nonlinear phenomena [22][23][24].…”

Section: Introductionmentioning

confidence: 99%

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On Multiple-Type Wave Solutions for the Nonlinear Coupled Time-Fractional Schrödinger Model

Mohammed,

Agarwal,

Brevik

et al. 2024

Symmetry

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Recently, nonlinear fractional models have become increasingly important for describing phenomena occurring in science and engineering fields, especially those including symmetric kernels. In the current article, we examine two reliable methods for solving fractional coupled nonlinear Schrödinger models. These methods are known as the Sardar-subequation technique (SSET) and the improved generalized tanh-function technique (IGTHFT). Numerous novel soliton solutions are computed using different formats, such as periodic, bell-shaped, dark, and combination single bright along with kink, periodic, and single soliton solutions. Additionally, single solitary wave, multi-wave, and periodic kink combined solutions are evaluated. The behavioral traits of the retrieved solutions are illustrated by certain distinctive two-dimensional, three-dimensional, and contour graphs. The results are encouraging, since they show that the suggested methods are trustworthy, consistent, and efficient in finding accurate solutions to the various challenging nonlinear problems that have recently surfaced in applied sciences, engineering, and nonlinear optics.

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