Abstract
In this paper the optical pulses and other solitary wave solutions are extracted in dual-core optical fibers. The decoupled nonlinear Schrodinger equation is taken as a controlling equation. The model is composed of group-velocity dispersion and mismatch, linear coupling coefficient, and nonlinear refractive index. The optical pulses in different shapes like dark, bright, singular, and combined solitons by application of the generalized exponential rational function method and the new extended direct algebraic method . Furthermore, a stack of exponential, hyperbolic, and trigonometric function wave solitary solutions is magnificently constructed by means of the indicated schemes. Some of the acquired wave solutions are characterized graphically in 3D, contour, and 2D shapes to illustrate the dynamical behavior. A comparison of the results of this study with those found in the literature shows that the current wave solutions are innovative and diverse, which boosts the impressive performance of the utilized methodologies. Complicated models in a wide range of physical circumstances may benefit from the strategies presented. We anticipate that this study will be useful to a wide range of engineering modellers.
Similar content being viewed by others
Data availability
Data sharing not applicable to this article as no datasets were generated or analyzed during this study.
References
Abbagari, S., Houwe, A., Rezazadeh, H., Bekir, A., Bouetou, T.B., Crépin, K.T.: Optical soliton to multi-core (coupling with all the neighbors) directional couplers and modulation instability. Eur. Phys. J. Plus 136, 325 (2021)
Al-Kalbani, K.K., Al-Ghafri, K.S., Krishnan, E.V., Biswas, A.: Solitons and modulation instability of the perturbed Gerdjikov-Ivanov equation with spatio-temporal dispersion. Chaos, Solitons Fractals 153, 111523 (2021)
Alhami, R., Alquran, M.: Extracted different types of optical lumps and breathers to the new generalized stochastic potential-KdV equation via using the Cole-Hopf transformation and Hirota bilinear method. Opt. Quant. Electron. 54, 553 (2022)
Arnous, A.H., Mahmood, S.A., Younis, M.: Dynamics of optical solitons in dual-core fibers via two integration schemes. Superlattices Microstruct. 106, 156e162 (2017)
Bilal, M., Ren, J., Younas, U.: Stability analysis and optical soliton solutions to the nonlinear Schrödinger model with efficient computational techniques. Opt. Quant. Electron. 53, 406 (2021)
Bilal, M., Younas, U., Ren, J.: Dynamics of exact soliton solutions in the double-chain model of deoxyribonucleic acid. Math. Methods Appl. Sci. 44(17), 13357–13375 (2021)
Bilal, M., Younas, U., Ren, J.: Dynamics of exact soliton solutions to the coupled nonlinear system using reliable analytical mathematical approaches. Commun. Theor. Phys. 73(8), 085005 (2021)
Biswas, A., Mirzazadeh, M., Eslami, M., Zhou, Q., Bhrawy, A., Belic, M.: Optical solitons in nano-fibers with spatio-temporal dispersion by trial solution method. Optik 127(18), 7250–7257 (2016)
Eslami, M.: Trial solution technique to chiral nonlinear Schrodinger’s equation in (1+2)-dimensions. Nonlinear Dyn. 85(2), 813–816 (2016)
Guo, D., Tian, S.F., Zhang, T.T., Li, J.: Modulation instability analysis and soliton solutions of an integrable coupled nonlinear Schrodinger system. Non-linear Dyn. 94(4), 2749–2761 (2018)
Islam, M.T., Akter, M.A., Gómez-Aguilar, J.F., Akbar, M.A., Careta, E.P.: Novel optical solitons and other wave structures of solutions to the fractional order nonlinear Schrodinger equations. Opt. Quant. Electron. 54, 520 (2022)
Jhangeer, A., Rezazadeh, H., Seadawy, A.: A study of travelling, periodic, quasiperiodic and chaotic structures of perturbed Fokas-Lenells model. Pramana - J. Phys. 95, 41 (2021)
Khater, M.M.A., Jhangeer, A., Rezazadeh, H., Akinyemi, L., Akbar, M.A., Inc, M.: Propagation of new dynamics of longitudinal bud equation among a magneto-electro-elastic round rod. Mod. Phys. Lett. B 35, 2150381 (2021)
Khater, M.M.A., Seadawy, A.R., Lu, D.: Optical soliton and rogue wave solutions of the ultra-short femto-second pulses in an optical fiber via two different methods and its applications. Optik 158, 434–450 (2018)
Kumar, D., Kumar, S.: Some new periodic solitary wave solutions of (3+1)-dimensional generalized shallow water wave equation by Lie symmetry approach. Comput. Math. Appl. 78, 857–877 (2019)
Kumar, S., Kumar, D., Wazwaz, A.M.: Lie symmetries, optimal system, group-invariant solutions and dynamical behaviors of solitary wave solutions for a (3+1)-dimensional KdV-type equation. Eur. Phys. J. Plus 136, 531 (2021)
Kumar, S., Niwas, M.: Lie symmetry reductions, abound exact solutions and localized wave structures of solitons for a (2 + 1)-dimensional Bogoyavlenskii equation. Mod. Phys. Lett. B 35(15), 2150252 (2021)
Mirzazadeh, M., Arnous, A.H., Mahmood, M.F., Zerrad, E., Biswas, A.: Soliton solutions to resonant nonlinear Schrodinger’s equation with time-dependent coefficients by trial solution approach. Nonlinear Dyn. 81(1–2), 277–282 (2015)
Nisar, K.S., Akinyemi, L., Inc, M., Şenol, M., Mirzazadeh, M., Houwe, A., Abbagari, S., Rezazadeh, H.: New perturbed conformable Boussinesq-like equation: soliton and other solutions. Results Phys. 33, 105200 (2022)
Raheel, M., Inc, M., Tala-Tebue, E., Mahmoud, K.H.: Breather, kink and rogue wave solutions of Sharma-Tasso-Olver-like equation. Opt. Quant. Electron. 54, 560 (2022)
Rezazadeh, H., Odabasi, M., Tariq, K.U., Abazari, R., Baskonus, H.M.: On the conformable nonlinear schrödinger equation with second order spatiotemporal and group velocity dispersion coefficients. Chin. J. Phys. 72, 403–414 (2021)
Vahidi, J., Zabihi, A., Rezazadeh, H., Ansari, R.: New extended direct algebraic method for the resonant nonlinear Schrödinger equation with Kerr law nonlinearity. Optik 227, 165936 (2021)
Younas, U., Bilal, M., Ren, J.: Propagation of the pure-cubic optical solitons and stability analysis in the absence of chromatic dispersion. Opt. Quant. Electron. 53, 490 (2021)
Younas, U., Bilal, M., Ren, J.: Diversity of exact solutions and solitary waves with the influence of damping effect in ferrites materials. J. Magn. Magn. Mater. 549, 168995 (2022)
Younas, U., Bilal, M., Sulaiman, T.A., Ren, J., Yusuf, A.: On the exact soliton solutions and diferent wave structures to the double dispersive equation. Opt. Quant. Electron. 54, 71 (2022)
Younas, U., Ren, J.: Investigation of exact soliton solutions in magneto-optic waveguides and its stability analysis. Results Phys. 21, 103816 (2021)
Younas, U., Ren, J., Bilal, M.: Dynamics of optical pulses in fiber optics. Mod. Phys. Lett. B 36(05), 2150582 (2022)
Younas, U., Sulaiman, T.A., Ren, J., Yusuf, A.: Lump interaction phenomena to the nonlinear ill-posed Boussinesq dynamical wave equation. J. Geom. Phys. 178, 104586 (2022)
Yıldırım, Y., Biswas, A., Ekici, M., Khan, S., Alzahrani, A.K., Belic, M.R.: Optical soliton perturbation with Kudryashov’s law of arbitrary refractive index. J. Opt. 50, 245–252 (2021)
Yıldırım, Y., Biswas, A., Guggilla, P., González-Gaxiola, O., Ekici, M., Alzahrani, A.K., Belic, M.R.: Exhibit of highly dispersive optical solitons in birefringent fibers with four forms of nonlinear refractive index by exp-function expansion. Optik 208, 164471 (2020)
Yıldırım, Y., Biswas, A., Khan, S., Guggilla, P., Alzahrani, A.K., Belic, M.R.: Optical solitons in fiber Bragg gratings with dispersive reflectivity by sine-Gordon equation approach. Optik 237, 166684 (2021)
Acknowledgements
The authors would like to acknowledge the financial support provided for this research via National Natural Science Foundation of China (52071298).
Funding
The authors would like to acknowledge the financial support provided for this research via National Natural Science Foundation of China (52071298).
Author information
Authors and Affiliations
Contributions
All the authors carried out the proofs and conceived of the study. All the authors read and approve the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Consent for publication
All the authors have agreed and given their consent for the publication of this research paper.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Younas, U., Sulaiman, T.A. & Ren, J. Dynamics of optical pulses in dual-core optical fibers modelled by decoupled nonlinear Schrodinger equation via GERF and NEDA techniques. Opt Quant Electron 54, 738 (2022). https://doi.org/10.1007/s11082-022-04140-6
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-022-04140-6