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Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential

Author

Listed:
  • Ishrat Bibi
  • Shah Muhammad
  • Muhammad Shakeel
  • Baboucarr Ceesay

Abstract

This study examines the optical soliton structure solutions, sensitivity, and modulation stability analysis of the chiral nonlinear Schrödinger equation (NLSE) with Bohm potential, a basic model in nonlinear optics and quantum mechanics. The equation represents wave group dynamics in numerous physical systems, involving quantum Hall and nonlinear optical structures. To attain exact solutions, we utilize the generalized exponential rational function (GERF) method and the Paul‐Painlevé (PP) approach, revealing a various set of optical soliton solutions, containing exponential, hyperbolic, and trigonometric function‐based solitons. By utilizing suitable parametric values, we provide 3D, 2D, and contour visualizations to demonstrate the soliton characteristics. Moreover, a comprehensive sensitivity and modulation stability analysis is carried out, presenting the impact of parametric alteration on soliton behavior. The findings exhibit the emergence of dark, bright, and periodic soliton solutions, which play a key role in understanding nonlinear wave propagation in topological and optical systems. The novelty of this work lies in enhancing the study of chiral soliton within the Bohm potential framework, yielding new observations into their stability, modulation, and structural properties.

Suggested Citation

  • Ishrat Bibi & Shah Muhammad & Muhammad Shakeel & Baboucarr Ceesay, 2025. "Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential," Advances in Mathematical Physics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnlamp:v:2025:y:2025:i:1:n:9185387
    DOI: 10.1155/admp/9185387
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