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.
