Stability analysis and soliton solutions of truncated M-fractional Heisenberg ferromagnetic spin chain model via two analytical methods

Ahmad, Jamshad; Noor, Kanza; Anwar, Sumaira; Akram, Sonia

doi:10.1007/s11082-023-05528-8

Cited by 5 publications

(1 citation statement)

References 41 publications

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“…Considering the above circumstances, we are motivated to use the truncated M-fractional derivative for this study. Related studies about truncated M-fractional derivative may be seen in [22,23].…”

Section: Introductionmentioning

confidence: 99%

Solitary waves of M-fractional low-pass nonlinear electrical transmission line model arising in network system

Yel

2024

Phys. Scr.

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In this study, we analyze the solitary wave behavior of a truncated M-fractional low-passnonlinear electrical transmission line (NLETLs) model. NLETL models are relevant tocomputer network systems, particularly for high-speed data transmissions. They influence thebehavior of signals traveling through network cables. To investigate the dynamics of solitarywaves in the model, we applied the modified Sardar sub-equation and extended the sinhGordon equation expansion methods. We illustrated the 2D, 3D, and contour shapes ofselected solutions for appropriate values of the NLETLs dynamics using Mathematica-14.Kink, anti-kink, bright-dark bell, dark bell, M-shaped periodic soliton, and logarithmic wavesolutions were obtained. The results indicate that the proposed techniques may providevaluable, powerful, and efficient insights into the dynamics of nonlinear evolution models.

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Section: Introductionmentioning

confidence: 99%

Solitary waves of M-fractional low-pass nonlinear electrical transmission line model arising in network system

Yel

2024

Phys. Scr.

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New soliton solutions of M-fractional Westervelt model in ultrasound imaging via two analytical techniques

Qawaqneh,

Zafar,

Raheel

et al. 2024

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This research paper is about to obtain new soliton solutions to the M-fractional (1+1)-dimensional nonlinear Westervelt model by utilizing exp a function and modified simplest equation techniques. The gained solutions involving dark, bright, periodic, dark-bright and other solitons. These results have many applications in wave propagation of sound waves, high amplitude in medical imaging and therapy. Achieved results are verified by Mathematica tool and the effect of M-fractional derivative on the solutions is explained through 2-Dimensional, 3-Dimensional and contour plots. At the end, these techniques are simple, fruitful and effective to deal with nonlinear FPDEs.

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Diverse exact soliton solutions for three distinct equations with conformable derivatives via $$exp_{a}$$ function technique

Eslami,

Matinfar,

Asghari

et al. 2024

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Stability analysis and soliton solutions of truncated M-fractional Heisenberg ferromagnetic spin chain model via two analytical methods

Cited by 5 publications

References 41 publications

Solitary waves of M-fractional low-pass nonlinear electrical transmission line model arising in network system

Solitary waves of M-fractional low-pass nonlinear electrical transmission line model arising in network system

New soliton solutions of M-fractional Westervelt model in ultrasound imaging via two analytical techniques

Diverse exact soliton solutions for three distinct equations with conformable derivatives via $$exp_{a}$$ function technique

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