Analyzing optical soliton solutions in Kairat-X equation via new auxiliary equation method
Faridi W.A. Tipu G.H. Riaz M.B. Mostafa A.M. AlQahtani S.A. Myrzakulov R. Umurzakhova Z.
August 2024Springer
Optical and Quantum Electronics
2024#56Issue 8
The paper introduce a novel auxiliary equation method for the successful derivation of traveling wave solutions for the non-linear Kairat-X (K-X) equation. Along with other novel results, soliton, singular, triangular periodic, and doubly periodic topological solutions are among the solutions obtained. The study revisits the concept of optical solitary waves, enhancing our understanding of the model. Previous studies have already derived analytical solutions using diverse approaches, contributing to the discovery of new soliton solutions within this framework. These solutions are characterized through three-dimensional, contour plot, and two-dimensional profile analyses. Additionally, the impact of time on the propagation of wave patterns is explored. The outcomes show how well our suggested approach works to solve non-linear evolution equations by producing fresh, more thorough solutions, making it a powerful mathematical tool for doing so. Through this article, we elucidate how leveraging NAEM with the Kairat-X equation can lead to optimized optical systems, improved data transmission rates, and the evolution of nonlinear optics towards more efficient and reliable communication technologies.
Kairat-X equation , New auxiliary equation method , Optical solitons
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Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Department of Mathematics, Shanghai University, No. 99 Shangda Road, Shanghai, 200444, China
IT4Innovations, VSB - Technical University of Ostrava, Ostrava, Czech Republic
Department of Information Systems, College Computers and Information Science, King Saud University, Riyadh, Saudi Arabia
Computer Engineering Department, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Department of Mathematics
Department of Mathematics
IT4Innovations
Department of Information Systems
Computer Engineering Department
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
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