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Sulaiman, Tukur, Younas, Usman, Younis, Muhammad, Ahmad, Jamshad, Rehman, Shafqat, Bilal, Muhammad, Yusuf, Abdullahi. (1400). Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation. سامانه مدیریت نشریات علمی, 10(1), 179-190. doi: 10.22034/cmde.2020.38990.1711
Tukur Abdulkadir Sulaiman; Usman Younas; Muhammad Younis; Jamshad Ahmad; Shafqat Ur Rehman; Muhammad Bilal; Abdullahi Yusuf. "Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation". سامانه مدیریت نشریات علمی, 10, 1, 1400, 179-190. doi: 10.22034/cmde.2020.38990.1711
Sulaiman, Tukur, Younas, Usman, Younis, Muhammad, Ahmad, Jamshad, Rehman, Shafqat, Bilal, Muhammad, Yusuf, Abdullahi. (1400). 'Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation', سامانه مدیریت نشریات علمی, 10(1), pp. 179-190. doi: 10.22034/cmde.2020.38990.1711
Sulaiman, Tukur, Younas, Usman, Younis, Muhammad, Ahmad, Jamshad, Rehman, Shafqat, Bilal, Muhammad, Yusuf, Abdullahi. Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation. سامانه مدیریت نشریات علمی, 1400; 10(1): 179-190. doi: 10.22034/cmde.2020.38990.1711

Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation

Computational Methods for Differential Equations
مقاله 13، دوره 10، شماره 1، فروردین 2022، صفحه 179-190    اصل مقاله (458.87 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.38990.1711
نویسندگان
Tukur Abdulkadir Sulaiman1، 2؛ Usman Younas* 3؛ Muhammad Younis3؛ Jamshad Ahmad4؛ Shafqat Ur Rehman4؛ Muhammad Bilal5؛ Abdullahi Yusuf1، 2
1Faculty of Science, Federal University Dutse, Jigawa, Nigeria.
2Department of Computer Engineering, Biruni University Istanbul, Turkey.
3Punjab University College of Information Technology, University of the Punjab, Lahore 54000, Pakistan.
4Department of Mathematics, Faculty of Science, University of Gujrat 50700, Pakistan.
5Department of mathematics, Faculty of Science, University of Gujrat 50700, Pakistan.
چکیده
The current study utilizes the extended sinh-Gordon equation expansion and ( G'/G2)-expansion function methods in constructing various optical soliton and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation which describes the elevation of water wave surface for slowly modulated wave trains in deep water in hydrodynamics. We secure different kinds of solutions like optical dark, bright, singular, combo solitons as well as hyperbolic and trigonometric functions solutions. Moreover, singular periodic wave solutions are recovered and the constraint conditions which provide the guarantee to the soliton solutions are also reported. In order to shed more light on these novel solutions, graphical features 3D, 2D and contour with some suitable choice of parameter values have been depicted. We also discuss the stability analysis of the studied nonlinear model with aid of modulation instability analysis. 
کلیدواژه‌ها
NLSE؛ Optical soliton؛ Extended sinh-Gordon equation expansion method؛ ( G'/G2)-expansion function method؛ Stability analysis
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