Solutions of Resonant Nonlinear Schrödinger’s Equation with Exotic Non-Kerr Law Nonlinearities
Main Article Content
Abstract
The solitary wave solutions of the quadratic-cubic law and the Kerr-Law nonlinearity of the resonant nonlinear Schrödinger's equation are investigated in this study. The solitary wave solutions of the resonant nonlinear Schrödinger's equations are investigated using the well-known extended simple equation method (ESEM). The field of Soliton in nonlinear fiber optics is where these equations are mainly investigated. We have obtained a new dark-bright, bell-shaped, periodic, unique, and periodic Soliton.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Licensed under a CC-BY license: https://creativecommons.org/licenses/by-nc-sa/4.0/
How to Cite
References
Lu, D., Seadawy, A., & Arshad, M. Applications of extended simple equation method on unstable nonlinear Schrödinger equations. Optik, 140, 136-144.(2017). https://doi.org/10.1016/j.ijleo.2017.04.032
Kopçasız, B., Yaşar, E. The investigation of unique optical soliton solutions for dual-mode nonlinear Schrödinger’s equation with new mechanisms. J Opt 52, 1513–1527 (2023). https://doi.org/10.1007/s12596-022-00998-7
Tang, L. Bifurcations and optical solitons for the coupled nonlinear Schrödinger equation in optical fiber Bragg gratings. J Opt 52, 1388–1398 (2023).
https://doi.org/10.1007/s12596-022-00963-4
Thi, T.N., Van, L.C. Supercontinuum generation based on suspended core fiber infiltrated with butanol. J Opt 52, 2296–2305 (2023).
https://doi.org/10.1007/s12596-023-01323-6
Li, Z., Zhu, E. Optical soliton solutions of stochastic Schrödinger–Hirota equation in birefringent fibers with spatiotemporal dispersion and parabolic law nonlinearity. J Opt (2023). https://doi.org/10.1007/s12596-023-01287-7
Han, T., Li, Z., Li, C. et al. Bifurcations, stationary optical solitons and exact solutions for complex Ginzburg–Landau equation with nonlinear chromatic dispersion in non-Kerr law media. J Opt 52, 831–844 (2023).
https://doi.org/10.1007/s12596-022-01041-5
Tang, L. Phase portraits and multiple optical solitons perturbation in optical fibers with the nonlinear Fokas–Lenells equation. J Opt 52, 2214–2223 (2023).
https://doi.org/10.1007/s12596-023-01097-x
Nandy, S., Lakshminarayanan, V. Adomian decomposition of scalar and coupled nonlinear Schrödinger equations and dark and bright solitary wave solutions. J Opt 44, 397–404 (2015). https://doi.org/10.1007/s12596-015-0270-9
Chen, W., Shen, M., Kong, Q. et al. The interaction of dark solitons with competing nonlocal cubic nonlinearities. J Opt 44, 271–280 (2015).
https://doi.org/10.1007/s12596-015-0255-8
Xu, SL., Petrović, N. & Belić, M.R. Two-dimensional dark solitons in diffusive nonlocal nonlinear media. J Opt 44, 172–177 (2015).
https://doi.org/10.1007/s12596-015-0243-z
Xu, SL., Petrović, N. & Belić, M.R. Two-dimensional dark solitons in diffusive nonlocal nonlinear media. J Opt 44, 172–177 (2015).
https://doi.org/10.1007/s12596-015-0243-z
Singh, M., Sharma, A.K. & Kaler, R.S. Investigations on optical timing jitter in dispersion managed higher order soliton system. J Opt 40, 1–7 (2011).
https://doi.org/10.1007/s12596-010-0021-x
Janyani, V. Formation and Propagation-Dynamics of Primary and Secondary Soliton-Like Pulses in Bulk Nonlinear Media. J Opt 37, 1–8 (2008).
https://doi.org/10.1007/BF03354831
Hasegawa, A. Application of Optical Solitons for Information Transfer in Fibers — A Tutorial Review. J Opt 33, 145–156 (2004).
https://doi.org/10.1007/BF03354760
Mahalingam, A., Uthayakumar, A. & Anandhi, P. Dispersion and nonlinearity managed multisoliton propagation in an erbium doped inhomogeneous fiber with gain/loss. J Opt 42, 182–188 (2013).
https://doi.org/10.1007/s12596-012-0105-x
A. Jawad and M. . Abu-AlShaeer, Highly dispersive optical solitons with cubic law and cubic-quintic-septic law nonlinearities by two methods, Rafidain J. Eng. Sci., vol. 1, no. 1, pp. 1–8, Sep. (2023).
https://doi.org/10.61268/sapgh524
N. Jihad and M. Abd Almuhsan, Evaluation of impairment mitigations for optical fiber communications using dispersion compensation techniques, Rafidain J. Eng. Sci., vol. 1, no. 1, pp. 81–92, Nov. (2023).
https://doi.org/10.61268/0dat0751
Wang, S. Novel soliton solutions of CNLSEs with Hirota bilinear method. J Opt 52, 1602–1607 (2023).
https://doi.org/10.1007/s12596-022-01065-x
Lu Tang, Anjan Biswas, Yakup Yildirim, Asim Asiri, Bifurcation Analysis and Chaotic Behavior of the Concatenation Model with Power-Law Nonlinearity, Contemporary Mathematics, 4(4), 1015, (2023).
https://doi.org/10.37256/cm.44202
Anjan Biswas, José Vega-Guzmán, Yakup Yildirim, Asim Asiri, Optical Solitons for the Dispersive Concatenation Model: Undetermined Coefficients, Contemporary Mathematics, 4(4), 951, (2023).
https://doi.org/10.37256/cm.4420233
Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Anjan Biswas, Yakup Yildirim, Houria Triki, Asim Asiri, Optical Solitons for the Dispersive Concatenation Model, Contemporary Mathematics, 4(3), 593, (2023).