Some optical solutions to the higher-order nonlinear Schrödinger equation with Kerr nonlinearity and a local fractional derivative

Results in Physics

S. Rezaei¹  S.K. Elagan²  Fatimah S. Bayones³  Sachin Kumar⁴  Kamsing Nonlaopon⁵ 

[1] Corresponding author.;Department of Mathematics and Statistics College of Sciences, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia;Department of Mathematics, Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey;Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, India;Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand;

关键词: Analytical methods;    Symbolic computation;    Nonlinear Schrödinger’s model;    Kerr nonlinearity;    Modulated nonlinear waves in plasmas;   

DOI  :  

来源: DOAJ

【 摘 要 】

Partial differential equations are among the most important mathematical tools for scientists in describing many physical and engineering problems related to real life. Accordingly, in this work, an efficient technique is proposed for getting different collections of solutions to a third-order version of nonlinear Schrödinger’s equation. Some numerical simulations related to the acquiblack solutions are also provided in this research. All results presented in this article can be consideblack as new achievements for the model. Further, it is emphasized that the used technique enables us to study other forms of nonlinear models. It is obtained that the technique is a reliable tool in handling many nonlinear partial differential equations arising in engineering, fluid mechanics, nonlinear optics, oceans, seas, and many mathematical physics. Moreover, the present results help the plasma physics researchers for investigating many nonlinear modulated structures that can generate and propagate in laboratory and space plasmas.

【 授权许可】

Unknown