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Journal of Modern Optics Volume 61, 2014 - Issue 6
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Research Articles

Analytical solutions and modulation instability analysis to the perturbed nonlinear Schrödinger equation

Qin ZhouSchool of Physics and Technology, Wuhan University, Wuhan, P.R. ChinaCorrespondence[email protected]
Pages 500-503 | Received 30 Jan 2014, Accepted 18 Feb 2014, Published online: 11 Mar 2014

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Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2019) Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation. Waves in Random and Complex Media 29:3, pages 393-402.
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Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2019) Grey and black optical solitary waves, and modulation instability analysis to the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity. Journal of Modern Optics 66:6, pages 647-651.
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K. Hosseini, P. Mayeli & D. Kumar. (2018) New exact solutions of the coupled sine-Gordon equations in nonlinear optics using the modified Kudryashov method. Journal of Modern Optics 65:3, pages 361-364.
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Yanan Xu, Pablo Suarez, Daniela Milovic, Kaisar R. Khan, M. F. Mahmood, Anjan Biswas & Milivoj Belic. (2016) Raman solitons in nanoscale optical waveguides, with metamaterials, having polynomial law non-linearity. Journal of Modern Optics 63:sup3, pages S32-S37.
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Qin Zhou, Mohammad Mirzazadeh, Essaid Zerrad, Anjan Biswas & Milivoj Belic. (2016) Bright, dark, and singular solitons in optical fibers with spatio-temporal dispersion and spatially dependent coefficients. Journal of Modern Optics 63:10, pages 950-954.
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Nadia Cheemaa & Muhammad Younis. (2016) New and more general traveling wave solutions for nonlinear Schrödinger equation. Waves in Random and Complex Media 26:1, pages 30-41.
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Seyma Tuluce Demiray & Hasan Bulut. (2015) Some exact solutions of generalized Zakharov system. Waves in Random and Complex Media 25:1, pages 75-90.
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Qin Zhou & Qiuping Zhu. (2015) Optical solitons in medium with parabolic law nonlinearity and higher order dispersion. Waves in Random and Complex Media 25:1, pages 52-59.
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Qin Zhou & Qiuping Zhu. (2014) Theoretical study of dark solitons in media with competing nonlocal nonlinearities and local quintic nonlinearity. Journal of Modern Optics 61:18, pages 1465-1469.
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Kalim U. Tariq, Aly R. Seadawy, Syed T. R. Rizvi & Rizwan Javed. (2022) Some optical soliton solutions to the generalized (1 + 1)-dimensional perturbed nonlinear Schrödinger equation using two analytical approaches. International Journal of Modern Physics B 36:26.
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H. I. Abdel-Gawad. (2022) Self-steepening, Raman scattering and self-phase modulation-interactions via the perturbed Chen–Lee–Liu equation with an extra dispersion. Modulation insability and spectral analysis. Optical and Quantum Electronics 54:7.
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Huitzilin Yépez-Martínez, Arash Pashrashid, José Francisco Gómez-Aguilar, Lanre Akinyemi & Hadi Rezazadeh. (2022) The novel soliton solutions for the conformable perturbed nonlinear Schrödinger equation. Modern Physics Letters B 36:08.
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Kristina V. Kan & Nikolay A. Kudryashov. (2021) Solitary waves described by a high‐order system in optical fiber Bragg gratings with arbitrary refractive index. Mathematical Methods in the Applied Sciences 45:2, pages 1072-1079.
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Muslum Ozisik. (2022) On the optical soliton solution of the dimensional perturbed NLSE in optical nano-fibers . Optik 250, pages 168233.
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M. Bilal, M. Younis, H. Rezazadeh, T. A. Sulaiman, A. Yusuf, S. U. Rehman & U. Younas. (2021) On the Exact Traveling Wave Solutions to the van der Waals p-System. International Journal of Applied and Computational Mathematics 7:3.
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Asad Zubair & Nauman Raza. (2019) Bright and dark solitons in (n + 1)-dimensions with spatio-temporal dispersion. Journal of Optics 48:4, pages 594-605.
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