Exploring the Dynamics of Dark and Singular Solitons in Optical Fibers Using Extended Rational Sinh–Cosh and Sine–Cosine Methods
Muniyappan A. Manikandan K. Saparbekova A. Serikbayev N.
May 2024Multidisciplinary Digital Publishing Institute (MDPI)
Symmetry
2024#16Issue 5
This investigation focuses on the construction of novel dark and singular soliton solutions for the Hirota equation, which models the propagation of ultrashort light pulses in optical fibers. Initially, we employ a wave variable transformation to convert the physical model into ordinary differential equations. Utilizing extended rational sinh–cosh and sine–cosine techniques, we derive an abundant soliton solution for the transformed system. By plugging these explicit solutions back into the wave transformation, we obtain dark and singular soliton solutions for the Hirota equation. The dynamic evolution of dark soliton profiles is then demonstrated, with a focus on varying physically significant parameters such as wave frequency, strength of third-order dispersion, and wave number. Furthermore, a comprehensive analysis is examined to elucidate how the dark and singular soliton profiles undergo deformation in the background influenced by these arbitrary parameters. The findings presented in this study offer valuable insights that could potentially guide experimental manipulation of dark solitons in optical fibers.
Hirota equation , nonlinear Schrödinger equation , optical fibers , optical soliton , wave transformation
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Center for Computational Modeling, Chennai Institute of Technology, Tamilnadu, Chennai, 600 069, India
Department of General and Theoretical Physics, L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Mathematics, Physics and Computer Science, Sh. Ualikhanov Kokshetau University, Kokshetau, 020000, Kazakhstan
Laboratory for Theoretical Cosmology, International Centre of Gravity and Cosmos, Tomsk State University of Control Systems and Radio Electronics (TUSUR), Tomsk, 634050, Russian Federation
Center for Computational Modeling
Department of General and Theoretical Physics
Department of Mathematics
Laboratory for Theoretical Cosmology
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