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Examine the optical solitons to the fractional paraxial wave model
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DOI：10.1016/j.jppr.2026.07.001.png)
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Abstract
En 中文
This study used an extended modified Sardar-sub equation method (EMSSEA) to examine the optical soliton solutions of the truncated time M-fractional paraxial wave model (PWM) that was missing in the literature. To encourage the fractional order, we employed the truncated-time M-fractional derivative. The few optical wave examples of the paraxial wave condition can be crucial in illuminating the elements of optical soliton arrangements in optics and photonics for the study of different real cycles, such as the production of light through optical frameworks like focal points, mirrors, and fibre optics. Using some free parameters related to the shape of hyperbolic functions, we determined the solutions. For the numerical values of the free parameters, we found a unique soliton solution, bell wave, bright and dark-kink wave, and periodic wave. We used MATHEMATICA 11.0 to provide a physical explanation of the solutions obtained to illustrate the behaviour of different solutions. The presented approach is essential and reliable as a smart optical soliton for nonlinear partial differential equations in nonlinear optics, fiber optics, and communication systems.
Keywords:
Fractional model
Enhanced modified sardar-sub equation approach
Optical soliton solutions
Dynamical structures
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