Work

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

Year: 2025

Type: article

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.

Source: Advances in Mathematical Physics

DOI: 10.1155/admp/9185387

Authors: Ishrat Bibi, Shah Muhammad, Muhammad Shakeel, Baboucarr Ceesay

Institutions: COMSATS University Islamabad, King Saud University, Central South University, University of the Gambia

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,830

Funder: King Saud University