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Cavlak Aslan, Ebru, Inc, Mustafa. (1401). Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis. سامانه مدیریت نشریات علمی, 10(4), 905-913. doi: 10.22034/cmde.2021.36045.1624
Ebru Cavlak Aslan; Mustafa Inc. "Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis". سامانه مدیریت نشریات علمی, 10, 4, 1401, 905-913. doi: 10.22034/cmde.2021.36045.1624
Cavlak Aslan, Ebru, Inc, Mustafa. (1401). 'Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis', سامانه مدیریت نشریات علمی, 10(4), pp. 905-913. doi: 10.22034/cmde.2021.36045.1624
Cavlak Aslan, Ebru, Inc, Mustafa. Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis. سامانه مدیریت نشریات علمی, 1401; 10(4): 905-913. doi: 10.22034/cmde.2021.36045.1624

Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis

Computational Methods for Differential Equations
مقاله 5، دوره 10، شماره 4، دی 2022، صفحه 905-913    اصل مقاله (689.31 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.36045.1624
نویسندگان
Ebru Cavlak Aslan* 1؛ Mustafa Inc2، 3
1Department of Mathematics, Science Faculty, Firat Universit, Elazığ, Turkey
2Department of Computer Engineering, Biruni University, Istanbul, Turkey.
3Department of Medical Research, China Medical University Hospital, China Medical University,Taichung, Taiwan.
چکیده
In this work, we investigate soliton solutions of the generalized variable coefficients nonlinear Schr¨odinger equation. The Jacobi elliptic ansatz method is applied to obtain the optical soliton solutions. The necessary conditions that warrant the presence of these solutions are determined. We consider the Lie symmetry analysis of governing equation. Also, the stability of this equation is analyzed by the modulation instability. 
کلیدواژه‌ها
NLSE؛ Modified Jacobi elliptic functions؛ Optical soliton؛ Rogue wave؛ The exp-function approach
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