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Waves in Random and Complex Media Volume 29, 2019 - Issue 3
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Articles

Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation

Mustafa IncScience Faculty, Department of Mathematics, Firat University, Elazig, Turkey.Correspondence[email protected]
,
Aliyu Isa AliyuScience Faculty, Department of Mathematics, Firat University, Elazig, Turkey.;Science Faculty, Department of Mathematics, Federal University Dutse, Jigawa, Nigeria.
,
Abdullahi YusufScience Faculty, Department of Mathematics, Firat University, Elazig, Turkey.;Science Faculty, Department of Mathematics, Federal University Dutse, Jigawa, Nigeria.
&
Dumitru BaleanuDepartment of Mathematics, Cankaya University, Ankara, Turkey.;Institute of Space Sciences, Magurele, Romania.
Pages 393-402 | Received 04 Dec 2017, Accepted 07 Feb 2018, Published online: 19 Feb 2018

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Sudhir Singh, A. Mukherjee, K. Sakkaravarthi & K. Murugesan. (2023) Higher dimensional localized and periodic wave dynamics in an integrable (2+1)-dimensional deep water oceanic wave model. Waves in Random and Complex Media 33:1, pages 78-97.
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Thilagarajah Mathanaranjan. (2022) Optical solitons and stability analysis for the new (3+1)-dimensional nonlinear Schrödinger equation. Journal of Nonlinear Optical Physics & Materials 32:02.
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Ismail Onder, Aydin Secer & Mustafa Bayram. (2023) Soliton solutions of coupled resonant Davey-Stewartson system and modulation instability analysis. Physica Scripta 98:3, pages 035203.
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Karmina K. Ali, Sibel Tarla, Mohamed R. Ali & Abdullahi Yusuf. (2023) Modulation instability analysis and optical solutions of an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation. Results in Physics 45, pages 106255.
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Syed T.R. Rizvi, Aly R. Seadawy, Tahira Batool & M. Aamir Ashraf. (2022) Homoclinic breaters, mulitwave, periodic cross-kink and periodic cross-rational solutions for improved perturbed nonlinear Schrödinger's with quadratic-cubic nonlinearity. Chaos, Solitons & Fractals 161, pages 112353.
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Na Liu, Xinhua Tang & Weiwei Zhang. (2021) Multiple breathers and high-order rational solutions of the (3+1)-dimensional B-type Kadomtsev–Petviashvili equation. Modern Physics Letters B 36:03.
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Shafqat-Ur-Rehman, Muhammad Bilal & Jamshad Ahmad. (2021) Dynamics of soliton solutions in saturated ferromagnetic materials by a novel mathematical method. Journal of Magnetism and Magnetic Materials 538, pages 168245.
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M. Bilal, U. Younas, A. Yusuf, T.A. Sulaiman & M. Bayram. (2021) Optical solitons with the birefringent fibers without four-wave mixing via the Lakshmanan–Porsezian–Daniel equation. Optik 243, pages 167489.
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Hamdy I. Abdel-Gawad. (2021) Infinite solitons in ferromagnetic materials with an internal magnetic field. Modern Physics Letters B 35:25, pages 2150413.
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Mostafa M. A. Khater. (2021) Abundant breather and semi-analytical investigation: On high-frequency waves’ dynamics in the relaxation medium. Modern Physics Letters B 35:22, pages 2150372.
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Hamood Ur Rehman, Musarat Bibi, Muhammad Shoaib Saleem, Hadi Rezazadeh & Waleed Adel. (2021) New optical soliton solutions of the Chen–Lee–Liu equation. International Journal of Modern Physics B 35:18, pages 2150184.
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Eied M. Khalil, T. A. Sulaiman, Abdullahi Yusuf & Mustafa Inc. (2021) The M-fractional improved perturbed nonlinear Schrödinger equation: Optical solitons and modulation instability analysis. International Journal of Modern Physics B 35:08, pages 2150121.
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Abdelfattah EL Achab, Hadi Rezazadeh, Dumitru Baleanu, Temesgen Desta Leta, Shumaila Javeed & Khurram Saleem Alimgeer. (2020) Ginzburg Landau equation's Innovative Solution (GLEIS). Physica Scripta 96:3, pages 035204.
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S. U. Rehman, Aly R. Seadawy, M. Younis, S. T. R. Rizvi, T. A. Sulaiman & A. Yusuf. (2020) Modulation instability analysis and optical solitons of the generalized model for description of propagation pulses in optical fiber with four non-linear terms. Modern Physics Letters B 35:06, pages 2150112.
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Tukur Abdulkadir Sulaiman, Usman Younas, Abdullahi Yusuf, Muhammad Younis, Muhammad Bilal & Shafqat-Ur-Rehman. (2021) Extraction of new optical solitons and MI analysis to three coupled Gross–Pitaevskii system in the spinor Bose–Einstein condensate. Modern Physics Letters B 35:06, pages 2150109.
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Naila Sajid & Ghazala Akram. (2020) Solitary dynamics of longitudinal wave equation arises in magneto-electro-elastic circular rod. Modern Physics Letters B 35:05, pages 2150086.
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Usman Younas & Jingli Ren. (2021) Investigation of exact soliton solutions in magneto-optic waveguides and its stability analysis. Results in Physics 21, pages 103816.
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Yuqin Yao & Yehui Huang. (2020) Nonlocal-derivative NLS equations and group-invariant soliton solutions. Advances in Difference Equations 2020:1.
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Muhammad Younis, Tukur Abdulkadir Sulaiman, Muhammad Bilal, Shafqat Ur Rehman & Usman Younas. (2020) Modulation instability analysis, optical and other solutions to the modified nonlinear Schrödinger equation. Communications in Theoretical Physics 72:6, pages 065001.
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Tukur Abdulkadir Sulaiman. (2020) Three-component coupled nonlinear Schrödinger equation: optical soliton and modulation instability analysis. Physica Scripta 95:6, pages 065201.
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Tukur Abdulkadir Sulaiman & Hasan Bulut. (2020) Optical solitons and modulation instability analysis of the (1 + 1)-dimensional coupled nonlinear Schrödinger equation. Communications in Theoretical Physics 72:2, pages 025003.
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Liejun Shen. (2018) Multiplicity and concentration results for fractional Schrödinger‐Poisson systems involving a Bessel operator. Mathematical Methods in the Applied Sciences 41:17, pages 7599-7611.
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Yong Zhou, Li Peng & Yunqing Huang. (2018) Duhamel's formula for time‐fractional Schrödinger equations. Mathematical Methods in the Applied Sciences 41:17, pages 8345-8349.
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