On optical soliton wave solutions of non-linear Kairat-X equation via new extended direct algebraic method
Tipu G.H. Faridi W.A. Myrzakulova Z. Myrzakulov R. AlQahtani S.A. AlQahtani N.F. Pathak P.
April 2024Springer
Optical and Quantum Electronics
2024#56Issue 4
The optical soliton is a hot topic in studying. In the current research, we utilize the modified extended direct algebraic method to derive optical soliton solutions for the non-linear Kairat-X (K-X) equation, which considers second-order spatiotemporal dispersion and the group velocity dispersion. The significant Kairat-X equation is considered to develop the soliton solutions because, Solitons are valuable because they are stable, retain their shape during propagation, and have applications ranging from telecommunications and signal processing to quantum physics and materials science. This equation describe how optical solitons propagate through non-linear media. Prior to this study, there was no existing research in which such solutions could be found. Our research yields various types of soliton solutions, including bright, dark, and singular solitons, as well as periodic and exponential solutions. Under specific parameters, we generate 2D, 3D, and contour graphs to visualize the propagation of optical soliton, allowing us to showcase its precise representation of physical phenomena. This work contributes to the advancement of our understanding of optical solitons and their behavior in non-linear optical systems.
New extended direct algebraic method , Optical solitons , The Kairat-X equation
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Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, Kazakhstan
Computer Engineering Department, College of Computer and Information Sciences, King Saud University, Riyadh, Saudi Arabia
Islamic Studies Department, College of Education, King Saud University, Riyadh, Saudi Arabia
School of Continuing Studies, McGill University, Montreal, QC, Canada
Department of Mathematics and Statistics
Department of Mathematics
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Computer Engineering Department
Islamic Studies Department
School of Continuing Studies
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