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Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger's equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 16 دی 1399 اصل مقاله (522.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.38990.1711 | ||
| نویسندگان | ||
Tukur A Sulaiman1؛ Usman Younas  2؛ Muhammad Younis3؛ Jamshad Ahmad4؛ Shafqat Ur Rehman4؛ Muhammad Bilal4؛ Abdullahi Yusuf5
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| 1Faculty of Science, Federal University Dutse, Jigawa, Nigeria. | ||
| 2Punjab University College of Information Technology, University of the Punjab, Lahore, Pakistan | ||
| 3Punjab University College of Information Technology, University of the Punjab, Lahore 54000, Pakistan | ||
| 4Department of mathematics, Faculty of Science, University of Gujrat 50700, Pakistan. | ||
| 5Federal University Dutse, Science Faculty, Department of Mathematics, 7156 Jigawa, Nigeria | ||
| چکیده | ||
| The current study utilizes the extended sinh-Gordon equation expansion and ($\frac{G^{\prime}}{G^2}$)-expansion function methods in constructing various optical soliton and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schr${\ddot o}$dinger'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؛ ($frac{G^{prime}}{G^2}$)-expansion function method؛ Stability analysis | ||
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آمار تعداد مشاهده مقاله: 58 تعداد دریافت فایل اصل مقاله: 82 |
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