“Soliton Solutions of the Generalized Third-Order Nonlinear Schr¨Odinger Equation In (1 + 1) Dimension By Hyperbolic Function Method”

Abstract

In this thesis, the main purpose is to find the soliton solution of third order nonlinear Schro¨dinger equations in (1 + 1)− dimension. The hyperbolic function method is applied to find a solution of (1 + 1)−dimensional nonlinear system of SE. It is shown that the method provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. The obtained solution for some results were illustrated by graphical plots. The obtained results are exactly fit with exact solutions which solves the complexity of finding the soliton solutions for (1 + 1)−dimensional NLS.