The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity Analysis
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...
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2025-05-01
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| author | Ejaz Hussain Yasir Arafat Sandeep Malik Fehaid Salem Alshammari |
| author_facet | Ejaz Hussain Yasir Arafat Sandeep Malik Fehaid Salem Alshammari |
| author_sort | Ejaz Hussain |
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| description | 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. |
| format | Article |
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| issn | 2075-1680 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
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| series | Axioms |
| spelling | doaj-art-4e9f3b3eef6d45ae92b23e47a5de687e2025-06-25T13:28:15ZengMDPI AGAxioms2075-16802025-05-0114642210.3390/axioms14060422The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity AnalysisEjaz Hussain0Yasir Arafat1Sandeep Malik2Fehaid Salem Alshammari3Department of Mathematics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, PakistanCenter for High Energy Physics, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, PakistanDepartment of Mathematics, Akal University, Talwandi Sabo, Bathinda 151302, Punjab, IndiaDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11564, Saudi ArabiaThe 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.https://www.mdpi.com/2075-1680/14/6/422(2 + 1)-dimensional Chiral nonlinear Schrödinger equationRiccati equation methodgeneralized Arnous methodsensitivity analysissolitary wave solutions |
| spellingShingle | Ejaz Hussain Yasir Arafat Sandeep Malik Fehaid Salem Alshammari The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity Analysis Axioms (2 + 1)-dimensional Chiral nonlinear Schrödinger equation Riccati equation method generalized Arnous method sensitivity analysis solitary wave solutions |
| title | The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity Analysis |
| title_full | The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity Analysis |
| title_fullStr | The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity Analysis |
| title_full_unstemmed | The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity Analysis |
| title_short | The (2+1)-Dimensional Chiral Nonlinear Schrödinger Equation: Extraction of Soliton Solutions and Sensitivity Analysis |
| title_sort | 2 1 dimensional chiral nonlinear schrodinger equation extraction of soliton solutions and sensitivity analysis |
| topic | (2 + 1)-dimensional Chiral nonlinear Schrödinger equation Riccati equation method generalized Arnous method sensitivity analysis solitary wave solutions |
| url | https://www.mdpi.com/2075-1680/14/6/422 |
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