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Open AccessArticle

Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law

1
School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China
2
Department of Mathematics, Faculty of Science, University of Zakho, Zakho 42002, Iraq
3
Department of Mathematics, Faculty of Science, Firat University, Elazig 23000, Turkey
4
Department of Mathematics, College of Science, University of Duhok, Duhok 42001, Iraq
5
Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa 63100, Turkey
*
Author to whom correspondence should be addressed.
Appl. Sci. 2020, 10(1), 219; https://doi.org/10.3390/app10010219
Received: 23 October 2019 / Revised: 25 November 2019 / Accepted: 20 December 2019 / Published: 27 December 2019
(This article belongs to the Special Issue Numerical and Analytical Methods in Electromagnetics)
In this paper, the cubic-quartic nonlinear Schrödinger and resonant nonlinear Schrödinger equation in parabolic law media are investigated to obtain the dark, singular, bright-singular combo and periodic soliton solutions. Two powerful methods, the m + G G improved expansion method and the exp φ ξ expansion method are utilized to construct some novel solutions of the governing equations. The obtained optical soliton solutions are presented graphically to clarify their physical parameters. Moreover, to verify the existence solutions, the constraint conditions are utilized. View Full-Text
Keywords: cubic-quartic Schrödinger equation; cubic-quartic resonant Schrödinger equation; parabolic law cubic-quartic Schrödinger equation; cubic-quartic resonant Schrödinger equation; parabolic law
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MDPI and ACS Style

Gao, W.; Ismael, H.F.; Husien, A.M.; Bulut, H.; Baskonus, H.M. Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law. Appl. Sci. 2020, 10, 219. https://doi.org/10.3390/app10010219

AMA Style

Gao W, Ismael HF, Husien AM, Bulut H, Baskonus HM. Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law. Applied Sciences. 2020; 10(1):219. https://doi.org/10.3390/app10010219

Chicago/Turabian Style

Gao, Wei; Ismael, Hajar F.; Husien, Ahmad M.; Bulut, Hasan; Baskonus, Haci M. 2020. "Optical Soliton Solutions of the Cubic-Quartic Nonlinear Schrödinger and Resonant Nonlinear Schrödinger Equation with the Parabolic Law" Appl. Sci. 10, no. 1: 219. https://doi.org/10.3390/app10010219

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