Study of quiescent optical solitons of the (2+1)-dimensional nonlinear Schrödinger equations in magneto-optic waveduides that generalize temporal evolution and have Kudryashov’s quintuple power law of self-phase modulation with nonlinear chromatic dispersion
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Abstract
Abstract This study investigates quiescent optical solitons in magneto-optical waveguides with nonlinear chromatic dispersion, using generalized temporal development and Kudryashov’s quintuple power law self-phase modulation. Two mathematical techniques, addenda to Kudryashov’s method (including two cases) and the enhanced direct algebraic method, are employed to recover these solitons.
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Research context
OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Fiber Laser Technologies
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References (24)
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1. A.H. Arnous, T.A. Nofal, A. Biswas, S. Khan, L. Moraru, Quiescent optical solitons with Kudryashov’s generalized quintuple-power and nonlocal nonlinearity having nonlinear chromatic dispersion. Universe 8, 501 (2022)10.3390/universe8100501 ↗
2. A.H. Arnous, A. Biswas, Y. Yıldırım, L. Moraru, M. Aphane, S.P. Moshokoa, H.M. Alshehri, Quiescent optical solitons with Kudryashov’s generalized quintuple-power and nonlocal nonlinearity having nonlinear chromatic dispersion: generalized temporal evolution. Ukr. J. Phys. Opt. 24(2), 105–113 (2023)10.3116/16091833/24/2/105/2023 ↗
3. N.A. Kudryashov, Stationary solitons of the generalized nonlinear Schrödinger equation with nonlinear dispersion and arbitrary refractive index. Appl. Math. Lett. 128, 107888 (2022)10.1016/j.aml.2021.107888 ↗
4. A.H. Arnous, M.S. Hashemi, K.S. Nisar, M. Shakeel, J. Ahmad, I. Ahmad, R. Jan, A. Ali, M. Kapoor, N.A. Shah, Investigating solitary wave solutions with enhanced algebraic method for new extended Sakovich equations in fluid dynamics. Res. Phys. 57, 107369 (2024)
5. Sirendaoreji, Auxiliary equation method and new solutions of Klein-Gordon equations. Chaos Solitons Fractals 31(4), 943–950 (2007)10.1016/j.chaos.2005.10.048 ↗
6. Z. Yang, B.Y. Hon, An improved modified extended tanh-function method. Zeitschrift fur Naturforschung A 61(3–4), 103–115 (2007)
7. Z.L. Li, Periodic wave solutions of a generalized KdV-mKdV equation with higher-order nonlinear terms. Zeitschrift fur Naturforschung A 65a, 649–657 (2010)10.1515/zna-2010-8-905 ↗
8. Y. Chen, Z. Yan, The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations. Chaos, Solitons Fractals 29, 948–964 (2006)10.1016/j.chaos.2005.08.071 ↗
9. Y. Zhen-Ya, New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations. Commun. Theor. Phys. 43, 391–396 (2005)10.1088/0253-6102/43/3/003 ↗
10. T. Han, Z. Li, C. Li, L. Zhao, 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)10.1007/s12596-022-01041-5 ↗
11. M. Ekici, Stationary optical solitons with complex Ginzburg-Landau equation having nonlinear chromatic dispersion and Kudryashov’s refractive index structures. Phys. Lett. A 440, 128146 (2022)10.1016/j.physleta.2022.128146 ↗
12. M. Ekici, Kinky breathers, W-shaped and multi-peak soliton interactions for Kudryashov’s quintuple power-law coupled with dual form of non-local refractive index structure. Chaos, Solitons Fractals 159, 112172 (2022)10.1016/j.chaos.2022.112172 ↗
13. M. Ekici, Optical solitons with Kudryashov’s quintuple power-law coupled with dual form of non-local law of refractive index with extended Jacobi’s elliptic function. Opt. Quantum Electron. 54(5), 279 (2022)10.1007/s11082-022-03657-0 ↗
14. N. Jihad, M.A.A. Almuhsan, Evaluation of impairment mitigations for optical fiber communications using dispersion compensation techniques. AlRafidain J. Eng. Sci. 1(1), 81–92 (2023)10.61268/0dat0751 ↗
15. M.S. Manirajan, Dynamics of optical soliton in a tapered erbium-doped fiber under periodic distributed amplification system. Nonlinear Dyn. 85(1), 599–606 (2016)10.1007/s11071-016-2709-1 ↗
16. T.Y. Wang, Q. Zhou, W.J. Liu, Soliton fusion and fission for the high-order coupled nonlinear Schrödinger system in fiber lasers. Chin. Phys. B 31(2), 020501 (2022)10.1088/1674-1056/ac2d22 ↗
17. Y. Zhong, H. Triki, Q. Zhou, Analytical and numerical study of chirped optical solitons in a spatially inhomogeneous polynomial law fiber with parity-time symmetry potential. Commun. Theor. Phys. 75(2), 025003 (2023)10.1088/1572-9494/aca51c ↗
18. Q. Zhou, Influence of parameters of optical fibers on optical soliton interactions. Chin. Phys. Lett. 39(1), 010501 (2022)10.1088/0256-307X/39/1/010501 ↗
19. Z. Yan, Envelope compactons and solitary patterns. Phys. Lett. A 355(3), 212–215 (2006)10.1016/j.physleta.2006.02.032 ↗
20. Z. Yan, Envelope compact and solitary pattern structures for the GNLS(m, n, p, q) equations. Phys. Lett. A 357(3), 196–203 (2006)10.1016/j.physleta.2006.04.032 ↗
21. N.A. Kudryashov, Method for nding highly dispersive optical solitons of nonlinear differential equations. Optik 206, 163550 (2020)10.1016/j.ijleo.2019.163550 ↗
22. E.M.E. Zayed, K.A. Gepreel, M.E.M. Alngar, Addendum to Kudryashov s method for nding solitons in magneto-optics waveguides to cubic-quartic NLSE with Kudryashov s sextic power law of refractive index. Optik 230, 166311 (2021)10.1016/j.ijleo.2021.166311 ↗
23. A.H. Arnous, A. Biswas, Y. Yildirim, L. Moraru, M. Aphane, S.P. Moshokoa, H.M. Alshehri, Quiescent optical solitons with Kudryashov s generalized quintuple-power and nonlocal nonlinearity having nonlinear chromatic dispersion: generalized temporal evolution. Ukr. J. Phys. Opt. 24, 2 (2023)10.3116/16091833/24/2/105/2023 ↗
24. A.H. Arnous, M.S. Hashemi, K.S. Nisar, M. Shakeel, J. Ahmad, I. Ahmad, R. Jan, A. Ali, M. Kapoor, N.A. Shah, Investigating Solitary wave solutions with enhanced algebraic method for new extended sakovich equations in fluid dynamics. Res. Phys. 57(7), 107369 (2024). https://doi.org/10.1016/j.rinp.2024.10.1016/j.rinp.2024. ↗