ArticleScientific reports2025
Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative.
Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems.Scientific reports · 2026Article
- Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation.Scientific reports · 2026Article
- Optical solutions to the time fractional Akbota equation arising in nonlinear optics via two distinct methods.Scientific reports · 2025Article
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7 authors.
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Abstract
This study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise. Using the new Kudryashov method, various solutions are derived, including solitary waves, bright, dark, singular, and W-shaped soliton solutions. The study investigates their dynamic behavior and physical characteristics, emphasizing the role of the conformable order derivative and temporal parameters through three-dimensional, two-dimensional, and contour plots. Incorporating multiplicative white noise into soliton analysis presents an innovative approach, advancing the understanding of nonlinear optical phenomena. Noise management techniques modeled in this study help simulate real-world scenarios where fibers face stochastic disturbances, aiding in the design of robust communication systems. Further, understanding noise's impact on soliton stability offers insights for minimizing errors in signal processing and enhancing the reliability of optical fiber communication networks.
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