On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth

In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and modified exp -expansion function to construct novel exact solutions of non-linear Schrödinger equation, describing gravity waves in infinite deep water, sense conformable derivative. After getting various travelling wave solutions, plot 3D, 2D contour surfaces present behaviours obtained solutions.