The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity Analysis

• Published in: Axioms Vol. 14; no. 6; p. 422
• Main Authors: Hussain, Ejaz, Arafat, Yasir, Malik, Sandeep, Alshammari, Fehaid Salem
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 29.05.2025
• Subjects: (2 + 1)-dimensional Chiral nonlinear Schrödinger equation; Applied mathematics; Differential equations; generalized Arnous method; Initial conditions; Nonlinear differential equations; Ordinary differential equations; Partial differential equations; Riccati equation; Riccati equation method; Schrodinger equation; Sensitivity analysis; solitary wave solutions; Solitary waves; Traveling waves; Germany
• ISSN: 2075-1680; 2075-1680
• DOI: 10.3390/axioms14060422

The objective of this manuscript is to investigate the (2+1)-dimensional Chiral nonlinear Schrödinger equation (CNLSE). We employ the traveling wave transformation to convert the nonlinear partial differential equation (NLPDE) into the nonlinear ordinary differential equation (NLODE). Utilizing the two new vital techniques to derive the solitary wave solutions, the generalized Arnous method and the Riccati equation method, we obtained various types of waves like bright solitons, dark solitons, and periodic wave solutions. Sensitivity analysis is also discussed using different initial conditions. Sensitivity analysis refers to the study of how the solutions of the equations respond to changes in the parameters or initial conditions. It involves assessing the impact of variations in these factors on the behavior and properties of the solutions. To better comprehend the physical consequences of these solutions, we showcase them through different visual depictions like 3D, 2D, and contour plots. The findings of this study are original and hold significant value for the future exploration of the equation, offering valuable directions for researchers to deepen knowledge on the subject.