Dynamic investigation to the generalized Yu–Toda–Sasa–Fukuyama equation using Darboux transformation

Ali, Asghar; Ahmad, Jamshad; Javed, Sara

doi:10.1007/s11082-023-05562-6

Cited by 15 publications

(1 citation statement)

References 47 publications

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“…Nonlinear fractional partial differential equations research has substantially developed various applications and methods. In particular, the NPSE and YTSF equation have been analyzed regarding optical fibers and engineering [37,38]. In turn, the 2D-SCNLSE [39] has been solved stochastically and the STFCB model involved in quantum optics and physics [40].…”

Section: Introductionmentioning

confidence: 99%

Fractional Fokas-Lenells equation: analyzing travelling waves via advanced analytical method

Alqudah,

Alderremy,

Mossa Al-Sawalha

et al. 2024

Phys. Scr.

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In this paper, we consider the fractional Fokas-Lenells equation, which allows us to analyze how a nonlinear optic pulse spreads in time as single-mode fiber produces higher-order nonlinear effects. We have computed perfectly accurate travelling wave solutions for the Fokas-Lenells equation using the Riccati-Bernoulli sub-Ode approach. For the corresponding equation, we have established three distinct classes of perfectly accurate travelling wave solutions with different free parameters; hyperbolic, trigonometric, and rational. A sophisticated Backlund transformation is implemented to the equation to change it to ordinary differential equation domain, leading to many extra exact solutions.

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