This talk delves into the realm of soliton solutions in Schrödinger-type equations by harnessing the potential of a reduction technique. The research investigates the application of the reduction method to streamline the governing equations, effectively reducing the complexity of the mathematical model and facilitating the derivation of closed-form solutions. The focal point lies on the utilization of Nucci's reduction method, a powerful tool that enables the derivation of various solution types, encompassing solitary waves, periodic waves, and singular soliton solutions.

The applications of the reduction method extend across diverse disciplines such as nonlinear optics, fiber optics, and quantum mechanics. The analytical solutions obtained through this method aid in the design and optimization of optical devices and systems, facilitating a better understanding and control of light pulse propagation in complex media. By exploring the reduction method and its versatile applications, this conference paper contributes to the advancement of optical sciences and serves as a valuable resource for researchers and practitioners aiming to harness the power of solitons in diverse optical systems.

Professor Mir Sajjad Hashemi is a distinguished scholar in the field of Applied Mathematics, specializing in a range of subjects including the Lie symmetry method, geometric numerical methods, fractional calculus, and exact solutions of differential equations. He currently holds a position in the Department of Mathematics at the University of Bonab, located in Bonab, Iran. Throughout his illustrious career, Professor Hashemi has made remarkable contributions to the field of mathematics, particularly in the realm of mathematical modeling and analysis. His research endeavors revolve around the development and application of innovative mathematical techniques to solve complex problems encountered in various scientific disciplines. With an expertise in the Lie symmetry method, Professor Hashemi has made significant strides in the study of differential equations by employing group theoretical concepts. This pioneering work has not only advanced the understanding of symmetries within differential equations but has also provided invaluable insights into the behavior and properties of physical systems. In addition to his expertise in the Lie symmetry method, Professor Hashemi has also made notable contributions to the field of geometric numerical methods. By harnessing the underlying geometric structure, he has successfully devised efficient and accurate algorithms for the numerical approximation of differential equations. These advancements have found practical applications in diverse fields such as physics, engineering, and biology. 

Furthermore, Professor Hashemi has explored the intricate field of fractional calculus, which encompasses the generalization of differentiation and integration to non-integer orders. His research in this area has enhanced the comprehension of the mathematical properties and applications of fractional differential equations. Professor Hashemi's scholarly achievements are evident in his extensive publication record, which exceeds 130 papers. His work has garnered recognition and reverence, leaving a lasting impact on the field of applied mathematics. Due to his expertise and profound insights, Professor Hashemi has been invited as a keynote speaker in numerous international conferences, where he has shared his research findings with esteemed colleagues and researchers from around the globe. His captivating presentations have solidified his reputation as a distinguished scholar, and his knowledge has been highly sought after by both peers and students. With an unwavering dedication to research, teaching, and academic service, Professor Mir Sajjad Hashemi continues to make significant contributions to the field of applied mathematics. His exceptional expertise and commitment have established him as an invaluable asset to the Department of Mathematics at the University of Bonab, Iran.