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New soliton solutions with graphical analysis to the fractional Schrödinger–Hirota equation | ||
| Caspian Journal of Mathematical Sciences | ||
| دوره 15، شماره 1 - شماره پیاپی 29، 2026، صفحه 267-277 اصل مقاله (1.28 M) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.30583.1779 | ||
| نویسنده | ||
| Ahmad Sharif* | ||
| Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad, Iran | ||
| تاریخ دریافت: 30 آبان 1404، تاریخ بازنگری: 03 دی 1404، تاریخ پذیرش: 29 دی 1404 | ||
| چکیده | ||
| The central objective of this study is to employ the generalized exponential rational function method in order to derive exact analytical solutions for the generalized nonlinear fractional Schr¨odinger–Hirota equation. By applying various ansatz techniques with time-dependent coefficients, both bright and dark optical soliton solutions of the proposed model are systematically constructed and analyzed. These soliton structures highlight the rich dynamical behavior of the equation and demonstrate the effectiveness of the adopted analytical approach. Furthermore, a detailed graphical investigation of the obtained solutions is carried out using Mathematica software. This visual analysis provides deeper insight into the evolution, stability, and fluctuation characteristics of the solutions under different parameter settings, thereby enhancing the physical interpretation of the results. The outcomes of this research have potential applications in the development of advanced theoretical models in plasma physics, condensed matter physics, optical fiber communications, and various industrial processes. | ||
| کلیدواژهها | ||
| generalized exponential rational function method؛ Fractional؛ Schrödinger–Hirota equation | ||
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