https://doi.org/10.1140/epjp/s13360-023-04837-x
Regular Article
Bright soliton of the perturbed Schrödinger–Hirota equation with cubic–quintic–septic law of self-phase modulation in the presence of spatiotemporal dispersion
1
Software Engineering, Istanbul Gelisim University, Istanbul, Turkey
2
Suleymaniye Mh. Destan Sk., Bursa, Turkey
3
Computer Engineering, Biruni University, Istanbul, Turkey
4
Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey
Received:
4
October
2023
Accepted:
26
December
2023
Published online:
9
January
2024
For the first time, we intend to scrutinize both the bright optical soliton solutions of the perturbed Schrödinger–Hirota equation with cubic–quintic–septic law having the spatiotemporal dispersion and the influences of the considered equation parameters on the soliton structure. The simple version of the new extended auxiliary equation method is utilized to carry out the aims. Taking the suitable complex wave transformation, the investigated equation becomes a nonlinear ordinary differential equation. Then, a system consisting of equations in polynomial structure utilizing the technique was able to produce. The bright optical solution is generated by utilizing the presented method. Finally, numerous projections of the bright soliton are indicated to explain the propagation of optical pulses in optic fibers. Furthermore, some depictions describing the effect of the model parameter were added.
© The Author(s) 2024
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