Author/Authors :
sulaiman, tukur abdulkadir federal university dutse - faculty of science, jigawa, nigeria , sulaiman, tukur abdulkadir biruni university - department of computer engineering, istanbul, turkey , younas, usman university of the punjab - college of information technology, lahore, pakistan , younis, muhammad university of the punjab - college of information technology, lahore, pakistan , ahmad, jamshad university of gujrat - faculty of science - department of mathematics, gujrat, pakistan , rehman, shafqat university of gujrat - faculty of science - department of mathematics, gujrat, pakistan , bilal, muhammad university of gujrat - faculty of science - department of mathematics, gujrat, pakistan , yusuf, abdullahi federal university dutse - faculty of science, jigawa, nigeria
Abstract :
the current study utilizes the extended sinhgordon 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.
Keywords :
nlse , optical soliton , extended sinh , gordon equation expansion method , ( g′g² ) , expansion function method , stability analysis