University of Tabriz Computational Methods for Differential Equations 2345-3982 10 1 2022 01 01 Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation 179 190 12220 10.22034/cmde.2020.38990.1711 EN Tukur Abdulkadir Sulaiman Faculty of Science, Federal University Dutse, Jigawa, Nigeria. Department of Computer Engineering, Biruni University Istanbul, Turkey. Usman Younas Punjab University College of Information Technology, University of the Punjab, Lahore 54000, Pakistan. Muhammad Younis Punjab University College of Information Technology, University of the Punjab, Lahore 54000, Pakistan. Jamshad Ahmad Department of Mathematics, Faculty of Science, University of Gujrat 50700, Pakistan. Shafqat Ur Rehman Department of Mathematics, Faculty of Science, University of Gujrat 50700, Pakistan. Muhammad Bilal Department of mathematics, Faculty of Science, University of Gujrat 50700, Pakistan. Abdullahi Yusuf Faculty of Science, Federal University Dutse, Jigawa, Nigeria. Department of Computer Engineering, Biruni University Istanbul, Turkey. Journal Article 2020 03 27 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.  https://cmde.tabrizu.ac.ir/article_12220_ab9206e5a7298553aa6dcc43115ec202.pdf