Muhammad Amin Sadiq Murad, from the Department of Mathematics, College of Science, University of Duhok, has led an international research team in publishing a new study on optical solitons and nonlinear wave dynamics in the Elsevier open-access journal Results in Engineering.

The paper, titled “Optical Soliton Solution for Dual-Mode Time-Fractional Nonlinear Schrödinger Equation by Generalized Exponential Rational Function Method,” was published on June 13, 2025, in collaboration with researchers from Soran University, Saudi Arabia, India, and Egypt.

The study applies the Generalized Exponential Rational Function Method (GERFM) to the dual-mode nonlinear Schrödinger equation and develops several new optical soliton solutions.

Key Research Highlights

The study:

• Develops wave, dark, bright, mixed dark-bright, and singular soliton solutions.
• Examines the influence of fractional-order and temporal parameters on soliton behavior and stability.
• Uses two- and three-dimensional graphical simulations and contour plots to visualize the solutions.
• Provides insights into wave propagation in nonlinear optical fibers and other complex systems.

Optical solitons are important in the study of stable wave propagation and have potential relevance to optical fiber communication, quantum systems, fluid mechanics, and nonlinear dynamics. The findings provide a mathematical foundation for further research into complex wave phenomena and fractional-order models.

The publication reflects UOD’s commitment to research excellence, international academic collaboration, and innovation in science and technology, contributing to the University’s strategic direction of strengthening research capacity and advancing knowledge with potential practical applications.

Read the full research paper:
Optical Soliton Solution for Dual-Mode Time-Fractional Nonlinear Schrödinger Equation by Generalized Exponential Rational Function Method

University Press Office, September, 2026
By: Fatima Mahmood Ali